All Stories

  1. On the well-posedness and numerical approximation of a nonlocal thermistor problem

    Article • Communications in Nonlinear Science and Numerical Simulation, July 2026, Elsevier

    Professor Delfim F. M. Torres

  2. Fractional-order modeling of a flow rate measurement system utilizing Grünwald–Letnikov based optimization

    Article • Measurement, April 2026, Elsevier

    Professor Delfim F. M. Torres

  3. EXACT SOLUTION FOR A QUANTUM SIR MODEL

    Article • Journal of Mathematical Sciences, January 2026, Springer Science + Business Media

    Professor Delfim F. M. Torres

  4. Dynamic Analysis and Optimal Prevention Strategies for Monkeypox Spread Modeled via the Mittag–Leffler Kernel

    Article • Fractal and Fractional, January 2026, MDPI AG

    Professor Delfim F. M. Torres

  5. Logistic equation on time scales

    Article • Examples and Counterexamples, December 2025, Elsevier

    Professor Delfim F. M. Torres

  6. Evaluating the effectiveness of stochastic CTMC and deterministic models in correlating rabies persistence in human and dog populations

    Article • Franklin Open, December 2025, Elsevier

    Professor Delfim F. M. Torres

  7. Modeling and Transmission Dynamics of a Stochastic Fractional Delay Cervical Cancer Model with Efficient Numerical Analysis

    Article • Axioms, September 2025, MDPI AG

    Professor Delfim F. M. Torres

  8. Optimization of Endocrine and p53 Combination Therapies in Estrogen-Receptor Positive Breast Cancer Treatment

    Article • International Journal of Biomathematics, September 2025, World Scientific Pub Co Pte Lt

    Professor Delfim F. M. Torres

  9. A consistent SIR model on time scales with exact solution

    Article • Nonlinear Dynamics, September 2025, Springer Science + Business Media

    Professor Delfim F. M. Torres

  10. Analysis of a Shear beam model with suspenders in thermoelasticity of type III

    Article • Journal of Computational and Applied Mathematics, August 2025, Elsevier

    Professor Delfim F. M. Torres

  11. Existence and uniqueness of mild solutions for a class of psi-Caputo time-fractional systems of order from one to two

    Article • Fractional Calculus and Applied Analysis, August 2025, Springer Science + Business Media

    Professor Delfim F. M. Torres

  12. Gradient Mittag-Leffler and strong stabilizability of time fractional diffusion processes

    Article • Journal of Mathematical Sciences, April 2025, Springer Science + Business Media

    Professor Delfim F. M. Torres

  13. Controllability and observability of tempered fractional differential systems

    Article • Communications in Nonlinear Science and Numerical Simulation, March 2025, Elsevier

    Professor Delfim F. M. Torres

  14. Fractional modelling of COVID-19 transmission incorporating asymptomatic and super-spreader individuals

    Article • Mathematical Biosciences, February 2025, Elsevier

    Professor Delfim F. M. Torres

  15. A model for the dynamics of COVID-19 infection transmission in human with latent delay

    Article • Afrika Matematika, January 2025, Springer Science + Business Media

    Professor Delfim F. M. Torres

  16. Exact solution for a discrete-time SIR model

    Article • Applied Numerical Mathematics, January 2025, Elsevier

    Professor Delfim F. M. Torres

  17. A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs With Environmental Effects

    Article • Journal of Applied Mathematics, January 2025, Wiley

    Professor Delfim F. M. Torres

  18. Parameters estimation and uncertainty assessment in the transmission dynamics of rabies in humans and dogs

    Article • Chaos Solitons & Fractals, December 2024, Elsevier

    Professor Delfim F. M. Torres

  19. Optimal Control of Microcephaly Under Vertical Transmission of Zika

    Article • Axioms, November 2024, MDPI AG

    Professor Delfim F. M. Torres

  20. Next-generation chemotherapy treatments based on black hole algorithms: From cancer remission to chronic disease management

    Article • Computers in Biology and Medicine, September 2024, Elsevier

    Prof. Hélder Santos, Professor Delfim F. M. Torres

  21. Modeling the dynamics of the Hepatitis B virus via a variable-order discrete system

    Article • Chaos Solitons & Fractals, July 2024, Elsevier

    Professor Delfim F. M. Torres

  22. The Duality Theory of Fractional Calculus and a New Fractional Calculus of Variations Involving Left Operators Only

    Article • Mediterranean Journal of Mathematics, April 2024, Springer Science + Business Media

    Professor Delfim F. M. Torres

  23. Boundary controllability of Riemann–Liouville fractional semilinear equations

    Article • Communications in Nonlinear Science and Numerical Simulation, April 2024, Elsevier

    Professor Delfim F. M. Torres

  24. Dynamics of a model of polluted lakes via fractal–fractional operators with two different numerical algorithms

    Article • Chaos Solitons & Fractals, April 2024, Elsevier

    Professor Delfim F. M. Torres

  25. A necessary optimality condition for extended weighted generalized fractional optimal control problems

    Article • Results in Control and Optimization, March 2024, Elsevier

    Professor Delfim F. M. Torres

  26. Modeling blood alcohol concentration using fractional differential equations based on the ψ‐Caputo derivative

    Article • Mathematical Methods in the Applied Sciences, February 2024, Wiley

    Professor Delfim F. M. Torres

  27. Existence and Uniqueness of Weak Solutions to Frictionless-Antiplane Contact Problems

    Article • Mathematics, January 2024, MDPI AG

    Professor Delfim F. M. Torres

  28. A class of fractional differential equations via power non-local and non-singular kernels: Existence, uniqueness and numerical approximations

    Article • Physica D Nonlinear Phenomena, January 2024, Elsevier

    Professor Delfim F. M. Torres

  29. Fractional calculi on time scales: differentiation and integration of a function with respect to another function

    Article • January 2024, Elsevier

    Professor Delfim F. M. Torres

  30. Finite time stability of tempered fractional systems with time delays

    Article • Chaos Solitons & Fractals, December 2023, Elsevier

    Professor Delfim F. M. Torres

  31. Pharmacokinetic/Pharmacodynamic anesthesia model incorporating psi-Caputo fractional derivatives

    Article • Computers in Biology and Medicine, December 2023, Elsevier

    Professor Delfim F. M. Torres

  32. On Sharp Bounds of Local Fractional Metric Dimension for Certain Symmetrical Algebraic Structure Graphs

    Article • Symmetry, October 2023, MDPI AG

    Professor Delfim F. M. Torres

  33. Pontryagin Maximum Principle for Incommensurate Fractional-Orders Optimal Control Problems

    Article • Mathematics, October 2023, MDPI AG

    Professor Delfim F. M. Torres

  34. Advanced Mathematical Analysis and its Applications

    Article • September 2023, Taylor & Francis

    Professor Delfim F. M. Torres

  35. Existence and Uniqueness of Solutions to Proper Fractional Riemann-Liouville Initial Value Problems on Time Scales

    Article • September 2023, Taylor & Francis

    Professor Delfim F. M. Torres

  36. Stability Analysis of Lotka-Volterra Models

    Article • September 2023, Taylor & Francis

    Professor Delfim F. M. Torres

  37. The Lotka-Volterra Dynamical System and Its Discretization

    Article • September 2023, Taylor & Francis

    Professor Delfim F. M. Torres

  38. An Analytic Method to Determine the Optimal Time for the Induction Phase of Anesthesia

    Article • Axioms, September 2023, MDPI AG

    Professor Delfim F. M. Torres

  39. Generalized Taylor’s formula for power fractional derivatives

    Article • Boletín de la Sociedad Matemática Mexicana, September 2023, Springer Science + Business Media

    Professor Delfim F. M. Torres

  40. Optimal control for a nonlinear stochastic PDE model of cancer growth

    Article • Optimization, July 2023, Taylor & Francis

    Professor Delfim F. M. Torres

  41. Mathematical Models and Optimal Control in Mosquito Transmitted Diseases

    Article • June 2023, Taylor & Francis

    Professor Delfim F. M. Torres

  42. Numerical Investigation of the Fractional Oscillation Equations under the Context of Variable Order Caputo Fractional Derivative via Fractional Order Bernstein Wavelets

    Article • Mathematics, May 2023, MDPI AG

    Professor Delfim F. M. Torres

  43. Dynamics of a Double-Impulsive Control Model of Integrated Pest Management Using Perturbation Methods and Floquet Theory

    Article • Axioms, April 2023, MDPI AG

    Professor Delfim F. M. Torres

  44. Three-Species Predator–Prey Stochastic Delayed Model Driven by Lévy Jumps and with Cooperation among Prey Species

    Article • Mathematics, March 2023, MDPI AG

    Professor Delfim F. M. Torres

  45. Numerical Fractional Optimal Control of Respiratory Syncytial Virus Infection in Octave/MATLAB

    Article • Mathematics, March 2023, MDPI AG

    Professor Delfim F. M. Torres

  46. Existence, uniqueness, and controllability for Hilfer differential equations on times scales

    Article • Mathematical Methods in the Applied Sciences, March 2023, Wiley

    Professor Delfim F. M. Torres

  47. An integral boundary fractional model to the world population growth

    Article • Chaos Solitons & Fractals, March 2023, Elsevier

    Professor Delfim F. M. Torres

  48. Regional gradient observability for fractional differential equations with Caputo time-fractional derivatives

    Article • International Journal of Dynamics and Control, February 2023, Springer Science + Business Media

    Professor Delfim F. M. Torres

  49. Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects

    Article • Fractal and Fractional, January 2023, MDPI AG

    Professor Delfim F. M. Torres

  50. Comment on “Noether’s-type theorems on time scales” [J. Math. Phys. 61, 113502 (2020)]

    Article • Journal of Mathematical Physics, January 2023, American Institute of Physics

    Professor Delfim F. M. Torres

  51. Existence result of the global attractor for a triply nonlinear thermistor problem

    Article • Moroccan Journal of Pure and Applied Analysis, January 2023, De Gruyter

    Professor Delfim F. M. Torres

  52. Weak Pontryagin's maximum principle for optimal control problems involving a general analytic kernel

    Article • January 2023, Elsevier

    Professor Delfim F. M. Torres

  53. Regional Controllability and Minimum Energy Control of Delayed Caputo Fractional-Order Linear Systems

    Article • Mathematics, December 2022, MDPI AG

    Professor Delfim F. M. Torres

  54. Existence and uniqueness of solution for fractional differential equations with integral boundary conditions and the Adomian decomposition method

    Article • Mathematical Methods in the Applied Sciences, November 2022, Wiley

    Professor Delfim F. M. Torres

  55. Complex network model for COVID-19: Human behavior, pseudo-periodic solutions and multiple epidemic waves

    Article • Journal of Mathematical Analysis and Applications, October 2022, Elsevier

    Professor Delfim F. M. Torres

  56. The Power Fractional Calculus: First Definitions and Properties with Applications to Power Fractional Differential Equations

    Article • Mathematics, October 2022, MDPI AG

    Professor Delfim F. M. Torres

  57. Stability Analysis of Delayed COVID-19 Models

    Article • Axioms, August 2022, MDPI AG

    Professor Delfim F. M. Torres

  58. Study of a Fractional Creep Problem with Multiple Delays in Terms of Boltzmann’s Superposition Principle

    Article • Fractal and Fractional, August 2022, MDPI AG

    Professor Delfim F. M. Torres

  59. Minimum Energy Problem in the Sense of Caputo for Fractional Neutral Evolution Systems in Banach Spaces

    Article • Axioms, July 2022, MDPI AG

    Ahmed Aberqi, Professor Delfim F. M. Torres

  60. Existence Results for a Multipoint Fractional Boundary Value Problem in the Fractional Derivative Banach Space

    Article • Axioms, June 2022, MDPI AG

    Professor Delfim F. M. Torres

  61. Taylor’s Formula for Generalized Weighted Fractional Derivatives with Nonsingular Kernels

    Article • Axioms, May 2022, MDPI AG

    Professor Delfim F. M. Torres

  62. Weighted Generalized Fractional Integration by Parts and the Euler–Lagrange Equation

    Article • Axioms, April 2022, MDPI AG

    Professor Delfim F. M. Torres

  63. Fractional Modelling and Optimal Control of COVID-19 Transmission in Portugal

    Article • Axioms, April 2022, MDPI AG

    Professor Delfim F. M. Torres

  64. On the Ulam-Hyers-Rassias stability of two structures of discrete fractional three-point boundary value problems: Existence theory

    Article • AIMS Mathematics, January 2022, American Institute of Mathematical Sciences (AIMS)

    Prof Jehad Alzabut, Professor Delfim F. M. Torres

  65. Mathematical analysis, forecasting and optimal control of HIV/AIDS spatiotemporal transmission with a reaction diffusion SICA model

    Article • AIMS Mathematics, January 2022, Tsinghua University Press

    Professor Delfim F. M. Torres

  66. A Note On a Prey-Predator Model with Constant-Effort Harvesting

    Article • January 2022, Springer Science + Business Media

    Professor Delfim F. M. Torres

  67. A SIQRB delayed model for cholera and optimal control treatment

    Article • Mathematical Modelling of Natural Phenomena, January 2022, EDP Sciences

    Professor Delfim F. M. Torres

  68. A Stochastic Capital-Labour Model with Logistic Growth Function

    Article • January 2022, Springer Science + Business Media

    Professor Delfim F. M. Torres

  69. Dynamic Control and Optimization

    Article • January 2022, Springer Science + Business Media

    Professor Delfim F. M. Torres

  70. Discrete-Time System of an Intracellular Delayed HIV Model with CTL Immune Response

    Article • January 2022, Springer Science + Business Media

    Professor Delfim F. M. Torres

  71. Near-optimal control of a stochastic SICA model with imprecise parameters

    Article • Communications in Optimization Theory, January 2022, Mathematical Research Press

    Professor Delfim F. M. Torres

  72. Necessary optimality conditions of a reaction-diffusion SIR model with ABC fractional derivatives

    Article • Discrete and Continuous Dynamical Systems - S, January 2022, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  73. Optimal control of an HIV model with a trilinear antibody growth function

    Article • Discrete and Continuous Dynamical Systems - S, January 2022, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  74. Transport and optimal control of vaccination dynamics for COVID-19

    Article • January 2022, Elsevier

    Professor Delfim F. M. Torres

  75. Fractional-Order Modelling and Optimal Control of Cholera Transmission

    Article • Fractal and Fractional, December 2021, MDPI AG

    Professor Delfim F. M. Torres

  76. A non-Newtonian Noether's symmetry theorem

    Article • Applicable Analysis, December 2021, Taylor & Francis

    Professor Delfim F. M. Torres

  77. Optimal control of a heroin epidemic mathematical model

    Article • Optimization, December 2021, Taylor & Francis

    Professor Delfim F. M. Torres

  78. Nabla Fractional Derivative and Fractional Integral on Time Scales

    Article • Axioms, November 2021, MDPI AG

    Professor Delfim F. M. Torres, hijaz ahmad

  79. A Discrete-Time Compartmental Epidemiological Model for COVID-19 with a Case Study for Portugal

    Article • Axioms, November 2021, MDPI AG

    Professor Delfim F. M. Torres

  80. Numerical Solution of Variable-Order Fractional Differential Equations Using Bernoulli Polynomials

    Article • Fractal and Fractional, November 2021, MDPI AG

    Professor Delfim F. M. Torres

  81. Hybrid Method for Simulation of a Fractional COVID-19 Model with Real Case Application

    Article • Axioms, November 2021, MDPI AG

    Professor Delfim F. M. Torres

  82. Cauchy’s formula on nonempty closed sets and a new notion of Riemann–Liouville fractional integral on time scales

    Article • Applied Mathematics Letters, November 2021, Elsevier

    Professor Delfim F. M. Torres

  83. Optimal Control Problems Involving Combined Fractional Operators with General Analytic Kernels

    Article • Mathematics, September 2021, MDPI AG

    Professor Delfim F. M. Torres

  84. Pontryagin Maximum Principle for Distributed-Order Fractional Systems

    Article • Mathematics, August 2021, MDPI AG

    Professor Delfim F. M. Torres

  85. On a Non-Newtonian Calculus of Variations

    Article • Axioms, July 2021, MDPI AG

    Professor Delfim F. M. Torres

  86. Mathematical Analysis of a Fractional COVID-19 Model Applied to Wuhan, Spain and Portugal

    Article • Axioms, June 2021, MDPI AG

    Professor Delfim F. M. Torres

  87. Analysis of Hilfer Fractional Integro-Differential Equations with Almost Sectorial Operators

    Article • Fractal and Fractional, March 2021, MDPI AG

    Professor Delfim F. M. Torres

  88. Fractional model of COVID-19 applied to Galicia, Spain and Portugal

    Article • Chaos Solitons & Fractals, March 2021, Elsevier

    Professor Delfim F. M. Torres

  89. Optimal control of the COVID-19 pandemic: controlled sanitary deconfinement in Portugal

    Article • Scientific Reports, February 2021, Springer Science + Business Media

    Professor Delfim F. M. Torres

  90. Modeling and Forecasting of COVID-19 Spreading by Delayed Stochastic Differential Equations

    Article • Axioms, February 2021, MDPI AG

    Professor Delfim F. M. Torres

  91. Focus point: cancer and HIV/AIDS dynamics—from optimality to modelling

    Article • The European Physical Journal Plus, February 2021, Springer Science + Business Media

    Professor Delfim F. M. Torres

  92. Stability analysis and optimal control of a fractional HIV-AIDS epidemic model with memory and general incidence rate

    Article • The European Physical Journal Plus, January 2021, Springer Science + Business Media

    Professor Delfim F. M. Torres

  93. Optimal Control of Vaccination and Plasma Transfusion with Potential Usefulness for Covid-19

    Article • January 2021, Springer Science + Business Media

    Professor Delfim F. M. Torres

  94. A New Compartmental Epidemiological Model for COVID-19 with a Case Study of Portugal

    Article • Ecological Complexity, December 2020, Elsevier

    Professor Delfim F. M. Torres

  95. Lyapunov functions for fractional-order systems in biology: Methods and applications

    Article • Chaos Solitons & Fractals, November 2020, Elsevier

    Professor Delfim F. M. Torres, Professor Khalid Hattaf

  96. Mathematical Modeling of Japanese Encephalitis under Aquatic Environmental Effects

    Article • Mathematics, October 2020, MDPI AG

    Professor Delfim F. M. Torres

  97. Distributed-Order Non-Local Optimal Control

    Article • Axioms, October 2020, MDPI AG

    Professor Delfim F. M. Torres

  98. Application of Bernoulli Polynomials for Solving Variable-Order Fractional Optimal Control-Affine Problems

    Article • Axioms, October 2020, MDPI AG

    Professor Delfim F. M. Torres

  99. Numerical solution of a class of third-kind Volterra integral equations using Jacobi wavelets

    Article • Numerical Algorithms, September 2020, Springer Science + Business Media

    Professor Delfim F. M. Torres

  100. Corrigendum to “Mathematical Modeling of COVID-19 Transmission Dynamics with a Case Study of Wuhan” [Chaos Solitons Fractals 135 (2020), 109846]

    Article • Chaos Solitons & Fractals, September 2020, Elsevier

    Professor Delfim F. M. Torres

  101. A Stochastic Fractional Calculus with Applications to Variational Principles

    Article • Fractal and Fractional, August 2020, MDPI AG

    Professor Delfim F. M. Torres

  102. Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan

    Article • Chaos Solitons & Fractals, June 2020, Elsevier

    Professor Delfim F. M. Torres

  103. Optimal Control of Aquatic Diseases: A Case Study of Yemen’s Cholera Outbreak

    Article • Journal of Optimization Theory and Applications, May 2020, Springer Science + Business Media

    Professor Delfim F. M. Torres

  104. Enlarged Controllability and Optimal Control of Sub-Diffusion Processes with Caputo Fractional Derivatives

    Article • Progress in Fractional Differentiation and Applications, April 2020, Natural Sciences Publishing

    Professor Delfim F. M. Torres

  105. Global Stability of a Caputo Fractional SIRS Model with General Incidence Rate

    Article • Mathematics in Computer Science, March 2020, Springer Science + Business Media

    Professor Delfim F. M. Torres

  106. The Stability and Stabilization of Infinite Dimensional Caputo-Time Fractional Differential Linear Systems

    Article • Mathematics, March 2020, MDPI AG

    Professor Delfim F. M. Torres

  107. A new spectral method based on two classes of hat functions for solving systems of fractional differential equations and an application to respiratory syncytial virus infection

    Article • Soft Computing, January 2020, Springer Science + Business Media

    Professor Delfim F. M. Torres

  108. A stochastic time-delayed model for the effectiveness of Moroccan COVID-19 deconfinement strategy

    Article • Mathematical Modelling of Natural Phenomena, January 2020, EDP Sciences

    Professor Delfim F. M. Torres

  109. Errata to "Modeling and optimal control of HIV/AIDS prevention through PrEP", Discrete Contin. Dyn. Syst. Ser. S 11 (2018), no. 1,119–141

    Article • Discrete and Continuous Dynamical Systems - S, January 2020, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  110. On Hermite-Hadamard type inequalities for harmonical h-convex interval-valued functions

    Article • Mathematical Inequalities & Applications, January 2020, Element d.o.o.

    Professor Delfim F. M. Torres

  111. Numerical Optimal Control of HIV Transmission in Octave/MATLAB

    Article • Mathematical and Computational Applications, December 2019, MDPI AG

    Professor Delfim F. M. Torres

  112. Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations

    Article • Chaos Solitons & Fractals, November 2019, Elsevier

    Professor Delfim F. M. Torres

  113. Stability of a fractional HIV/AIDS model

    Article • Mathematics and Computers in Simulation, October 2019, Elsevier

    Professor Delfim F. M. Torres

  114. A finite element approximation for a class of Caputo time-fractional diffusion equations

    Article • Computers & Mathematics with Applications, September 2019, Elsevier

    Professor Delfim F. M. Torres

  115. Analysis of a SIRI Epidemic Model with Distributed Delay and Relapse

    Article • Statistics Optimization & Information Computing, August 2019, International Academic Press

    Professor Delfim F. M. Torres

  116. Solutions of systems with the Caputo–Fabrizio fractional delta derivative on time scales

    Article • Nonlinear Analysis Hybrid Systems, May 2019, Elsevier

    Professor Delfim F. M. Torres

  117. Exact solution to a dynamic SIR model

    Article • Nonlinear Analysis Hybrid Systems, May 2019, Elsevier

    Professor Delfim F. M. Torres

  118. A numerical approach for solving fractional optimal control problems using modified hat functions

    Article • Communications in Nonlinear Science and Numerical Simulation, May 2019, Elsevier

    Professor Delfim F. M. Torres

  119. Optimal control of a nonlocal thermistor problem with ABC fractional time derivatives

    Article • Computers & Mathematics with Applications, April 2019, Elsevier

    Professor Delfim F. M. Torres

  120. Functional characterizations of trace spaces in Lipschitz domains

    Article • Banach Journal of Mathematical Analysis, April 2019, Springer Science + Business Media

    Professor Delfim F. M. Torres

  121. A collocation method of lines for two‐sided space‐fractional advection‐diffusion equations with variable coefficients

    Article • Mathematical Methods in the Applied Sciences, March 2019, Wiley

    Professor Delfim F. M. Torres

  122. A survey on fractional variational calculus

    Article • February 2019, De Gruyter

    Professor Delfim F. M. Torres

  123. Analysis of fractional integro-differential equations of thermistor type

    Article • February 2019, De Gruyter

    Professor Delfim F. M. Torres

  124. Variable Order Mittag–Leffler Fractional Operators on Isolated Time Scales and Application to the Calculus of Variations

    Article • January 2019, Springer Science + Business Media

    Professor Delfim F. M. Torres

  125. Optimal Impulse Control of Dynamical Systems

    Article • SIAM Journal on Control and Optimization, January 2019, Society for Industrial & Applied Mathematics (SIAM)

    Professor Delfim F. M. Torres

  126. The Variable-Order Fractional Calculus of Variations

    Article • January 2019, Springer Science + Business Media

    Dina Tavares, Professor Delfim F. M. Torres

  127. A sufficient optimality condition for delayed state-linear optimal control problems

    Article • Discrete and Continuous Dynamical Systems - B, January 2019, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  128. The spread of a financial virus through Europe and beyond

    Article • AIMS Mathematics, January 2019, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  129. Time-Fractional Optimal Control of Initial Value Problems on Time Scales

    Article • January 2019, Springer Science + Business Media

    Professor Delfim F. M. Torres

  130. Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection

    Article • Chaos Solitons & Fractals, December 2018, Elsevier

    Professor Delfim F. M. Torres

  131. Fractional Order Version of the Hamilton–Jacobi–Bellman Equation

    Article • Journal of Computational and Nonlinear Dynamics, November 2018, ASME International

    Professor Delfim F. M. Torres

  132. A space–time pseudospectral discretization method for solving diffusion optimal control problems with two-sided fractional derivatives

    Article • Journal of Vibration and Control, November 2018, SAGE Publications

    Professor Delfim F. M. Torres, Mostafa Shamsi

  133. A stochastic SICA epidemic model for HIV transmission

    Article • Applied Mathematics Letters, October 2018, Elsevier

    Professor Delfim F. M. Torres

  134. Existence theorems for a nonlinear second-order distributional differential equation

    Article • Journal of King Saud University - Science, October 2018, Elsevier

    Professor Delfim F. M. Torres

  135. Some inequalities for interval-valued functions on time scales

    Article • Soft Computing, September 2018, Springer Science + Business Media

    Professor Delfim F. M. Torres

  136. Enlarged Controllability of Riemann–Liouville Fractional Differential Equations

    Article • Journal of Computational and Nonlinear Dynamics, July 2018, ASME International

    Professor Delfim F. M. Torres

  137. Expansion Formulas for Fractional Derivatives

    Article • June 2018, Springer Science + Business Media

    Professor Delfim F. M. Torres, Dina Tavares

  138. Fractional Calculus

    Article • June 2018, Springer Science + Business Media

    Professor Delfim F. M. Torres, Dina Tavares

  139. The Calculus of Variations

    Article • June 2018, Springer Science + Business Media

    Professor Delfim F. M. Torres, Dina Tavares

  140. The Fractional Calculus of Variations

    Article • June 2018, Springer Science + Business Media

    Professor Delfim F. M. Torres, Dina Tavares

  141. Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems

    Article • Communications in Nonlinear Science and Numerical Simulation, May 2018, Elsevier

    Professor Delfim F. M. Torres

  142. Existence of solution to a nonlocal conformable fractional thermistor problem

    Article • Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, April 2018, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

    Professor Delfim F. M. Torres

  143. Structural derivatives on time scales

    Article • Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, April 2018, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

    Professor Delfim F. M. Torres

  144. Analysis and Optimal Control of an Intracellular Delayed HIV Model with CTL Immune Response

    Article • Mathematics in Computer Science, February 2018, Springer Science + Business Media

    Professor Delfim F. M. Torres

  145. A simple mathematical model for unemployment: a case study in Portugal with optimal control

    Article • Statistics Optimization & Information Computing, February 2018, International Academic Press

    Professor Delfim F. M. Torres

  146. Parameter Estimation, Sensitivity Analysis and Optimal Control of a Periodic Epidemic Model with Application to HRSV in Florida

    Article • Statistics Optimization & Information Computing, February 2018, International Academic Press

    Professor Delfim F. M. Torres

  147. The Cape Verde International Days on Mathematics 2017

    Article • Statistics Optimization & Information Computing, February 2018, International Academic Press

    Professor Delfim F. M. Torres

  148. Uniform asymptotic stability of a fractional tuberculosis model

    Article • Mathematical Modelling of Natural Phenomena, January 2018, EDP Sciences

    Professor Delfim F. M. Torres

  149. Banking Risk as an Epidemiological Model: An Optimal Control Approach

    Article • January 2018, Springer Science + Business Media

    Professor Delfim F. M. Torres

  150. Existence of positive solutions to a discrete fractional boundary value problem and corresponding Lyapunov-type inequalities

    Article • Opuscula Mathematica, January 2018, AGHU University of Science and Technology Press

    Professor Delfim F. M. Torres

  151. Optimal control of non-autonomous SEIRS models with vaccination and treatment

    Article • Discrete and Continuous Dynamical Systems - S, January 2018, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  152. The Fuzzy Henstock–Kurzweil Delta Integral on Time Scales

    Article • January 2018, Springer Science + Business Media

    Professor Delfim F. M. Torres

  153. A cholera mathematical model with vaccination and the biggest outbreak of world’s history

    Article • AIMS Mathematics, January 2018, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  154. Enhancement of chemotherapy using oncolytic virotherapy: Mathematical and optimal control analysis

    Article • Mathematical Biosciences & Engineering, January 2018, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  155. Novel Results on Hermite–Hadamard Kind Inequalities for $$\eta $$-Convex Functions by Means of (k, r)-Fractional Integral Operators

    Article • January 2018, Springer Science + Business Media

    Professor Delfim F. M. Torres

  156. Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil

    Article • Mathematical Methods in the Applied Sciences, December 2017, Wiley

    Professor Delfim F. M. Torres

  157. The effect of immigrant communities coming from higher incidence tuberculosis regions to a host country

    Article • Ricerche di Matematica, December 2017, Springer Science + Business Media

    Professor Delfim F. M. Torres

  158. Generalized fractional operators on time scales with application to dynamic equations

    Article • The European Physical Journal Special Topics, December 2017, Springer Science + Business Media

    Professor Delfim F. M. Torres

  159. Global existence of solutions for a fractional Caputo nonlocal thermistor problem

    Article • Advances in Difference Equations, November 2017, Springer Science + Business Media

    Professor Delfim F. M. Torres

  160. A necessary condition of Pontryagin type for fuzzy fractional optimal control problems

    Article • Discrete and Continuous Dynamical Systems - S, October 2017, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  161. Fractional Herglotz variational problems of variable order

    Article • Discrete and Continuous Dynamical Systems - S, October 2017, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres, Dina Tavares

  162. Modeling and optimal control of HIV/AIDS prevention through PrEP

    Article • Discrete and Continuous Dynamical Systems - S, October 2017, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  163. Noether currents for higher-order variational problems of Herglotz type with time delay

    Article • Discrete and Continuous Dynamical Systems - S, October 2017, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  164. Preface

    Article • Discrete and Continuous Dynamical Systems - S, October 2017, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  165. Optimal control of a delayed HIV model

    Article • Discrete and Continuous Dynamical Systems - B, October 2017, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  166. A survey on fuzzy fractional differential and optimal control nonlocal evolution equations

    Article • Journal of Computational and Applied Mathematics, September 2017, Elsevier

    Professor Delfim F. M. Torres

  167. A fractional Gauss–Jacobi quadrature rule for approximating fractional integrals and derivatives

    Article • Chaos Solitons & Fractals, September 2017, Elsevier

    Professor Delfim F. M. Torres

  168. Fractional Herglotz variational principles with generalized Caputo derivatives

    Article • Chaos Solitons & Fractals, September 2017, Elsevier

    Professor Delfim F. M. Torres

  169. On a Fractional Oscillator Equation with Natural Boundary Conditions

    Article • Progress in Fractional Differentiation and Applications, July 2017, Natural Sciences Publishing

    Rabah Khaldi, Professor Delfim F. M. Torres

  170. A SICA compartmental model in epidemiology with application to HIV/AIDS in Cape Verde

    Article • Ecological Complexity, June 2017, Elsevier

    Professor Delfim F. M. Torres

  171. Ebola model and optimal control with vaccination constraints

    Article • Journal of Industrial & Management Optimization, June 2017, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  172. On the Henstock-Kurzweil integral for Riesz-space-valued functions on time scales

    Article • The Journal of Nonlinear Sciences and Applications, May 2017, International Scientific Research Publications MY SDN. BHD.

    Professor Delfim F. M. Torres

  173. Combined fractional variational problems of variable order and some computational aspects

    Article • Journal of Computational and Applied Mathematics, May 2017, Elsevier

    Professor Delfim F. M. Torres, Dina Tavares

  174. Lyapunov-type inequality for a fractional boundary value problem with natural conditions

    Article • SeMA Journal, April 2017, Springer Science + Business Media

    Professor Delfim F. M. Torres, Rabah Khaldi

  175. Variational calculus with conformable fractional derivatives

    Article • IEEE/CAA Journal of Automatica Sinica, April 2017, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Delfim F. M. Torres

  176. Multiobjective optimization to a TB-HIV/AIDS coinfection optimal control problem

    Article • Computational and Applied Mathematics, March 2017, Springer Science + Business Media

    Professor Delfim F. M. Torres

  177. Non-differentiable Solutions for Local Fractional Nonlinear Riccati Differential Equations

    Article • Fundamenta Informaticae, March 2017, IOS Press

    Professor Delfim F. M. Torres, Professor Yudong Zhang, Prof. Dr. Hari Mohan Srivastava, Xiao-Jun Yang

  178. A generalized Lyapunov’s inequality for a fractional boundary value problem

    Article • Journal of Computational and Applied Mathematics, March 2017, Elsevier

    Professor Delfim F. M. Torres

  179. Existence of solution to a local fractional nonlinear differential equation

    Article • Journal of Computational and Applied Mathematics, March 2017, Elsevier

    Professor Delfim F. M. Torres

  180. Existence and uniqueness results for a fractional Riemann–Liouville nonlocal thermistor problem on arbitrary time scales

    Article • Journal of King Saud University - Science, March 2017, Elsevier

    Professor Delfim F. M. Torres

  181. Optimal Spraying in Biological Control of Pests

    Article • Mathematical Modelling of Natural Phenomena, January 2017, EDP Sciences

    Professor Delfim F. M. Torres

  182. Constrained fractional variational problems of variable order

    Article • IEEE/CAA Journal of Automatica Sinica, January 2017, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Delfim F. M. Torres, Dina Tavares

  183. Direct and Inverse Variational Problems on Time Scales: A Survey

    Article • January 2017, Springer Science + Business Media

    Professor Delfim F. M. Torres

  184. Hyperchaotic Fractional-Order Systems and Their Applications

    Article • Complexity, January 2017, Hindawi Publishing Corporation

    Professor Delfim F. M. Torres, Dr. Sachin Bhalekar

  185. Mathematical Modeling and Control of Infectious Diseases

    Article • Computational and Mathematical Methods in Medicine, January 2017, Hindawi Publishing Corporation

    Professor Delfim F. M. Torres, IL HYO JUNG, Prof John T Ellis

  186. Generalized weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales via a parameter function

    Article • Journal of Mathematical Inequalities, January 2017, Element d.o.o.

    Professor Delfim F. M. Torres

  187. General fractional-order anomalous diffusion with non-singular power-law kernel

    Article • Thermal Science, January 2017, National Library of Serbia

    Professor Delfim F. M. Torres

  188. Chain rules and inequalities for the BHT fractional calculus on arbitrary timescales

    Article • Arabian Journal of Mathematics, December 2016, Springer Science + Business Media

    Professor Delfim F. M. Torres

  189. An epidemic model for cholera with optimal control treatment

    Article • Journal of Computational and Applied Mathematics, November 2016, Elsevier

    Professor Delfim F. M. Torres

  190. Approximated analytical solution to an Ebola optimal control problem

    Article • International Journal for Computational Methods in Engineering Science and Mechanics, October 2016, Taylor & Francis

    Professor Delfim F. M. Torres

  191. Exponentials and Laplace transforms on nonuniform time scales

    Article • Communications in Nonlinear Science and Numerical Simulation, October 2016, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo , Professor Delfim F. M. Torres

  192. Optimal control of a tuberculosis model with state and control delays

    Article • Mathematical Biosciences and Engineering, October 2016, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  193. Linear and Nonlinear Fractional Voigt Models

    Article • August 2016, Springer Science + Business Media

    Professor Delfim F. M. Torres

  194. Symmetric duality for left and right Riemann–Liouville and Caputo fractional differences

    Article • Arab Journal of Mathematical Sciences, July 2016, Elsevier

    Professor Delfim F. M. Torres

  195. Caputo derivatives of fractional variable order: Numerical approximations

    Article • Communications in Nonlinear Science and Numerical Simulation, June 2016, Elsevier

    Professor Delfim F. M. Torres, Dina Tavares

  196. Galerkin spectral method for the fractional nonlocal thermistor problem

    Article • Computers & Mathematics with Applications, June 2016, Elsevier

    Professor Delfim F. M. Torres

  197. Dynamics and Optimal Control of Ebola Transmission

    Article • Mathematics in Computer Science, April 2016, Springer Science + Business Media

    Professor Delfim F. M. Torres

  198. Predicting and controlling the Ebola infection

    Article • Mathematical Methods in the Applied Sciences, February 2016, Wiley

    Professor Delfim F. M. Torres

  199. A Simple Accurate Method for Solving Fractional Variational and Optimal Control Problems

    Article • Journal of Optimization Theory and Applications, February 2016, Springer Science + Business Media

    Professor Delfim F. M. Torres

  200. Helmholtz Theorem for Nondifferentiable Hamiltonian Systems in the Framework of Cresson’s Quantum Calculus

    Article • Discrete Dynamics in Nature and Society, January 2016, Hindawi Publishing Corporation

    Professor Delfim F. M. Torres

  201. Complex-Valued Fractional Derivatives on Time Scales

    Article • January 2016, Springer Science + Business Media

    Professor Delfim F. M. Torres

  202. A Hukuhara approach to the study of hybrid fuzzy systems on time scales

    Article • Applicable Analysis and Discrete Mathematics, January 2016, National Library of Serbia

    Professor Delfim F. M. Torres

  203. A conformable fractional calculus on arbitrary time scales

    Article • Journal of King Saud University - Science, January 2016, Elsevier

    Professor Delfim F. M. Torres

  204. Existence and uniqueness of solution for a fractional Riemann–Liouville initial value problem on time scales

    Article • Journal of King Saud University - Science, January 2016, Elsevier

    Professor Delfim F. M. Torres

  205. Stability and optimal control of a delayed HIV model

    Article • Mathematical Methods in the Applied Sciences, January 2016, Wiley

    Professor Delfim F. M. Torres

  206. Coexistence of two dengue virus serotypes and forecasting for Madeira Island

    Article • Operations Research for Health Care, December 2015, Elsevier

    Professor Delfim F. M. Torres

  207. Noether's theorem for higher-order variational problems of Herglotz type

    Article • November 2015, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  208. Multiobjective approach to optimal control for a dengue transmission model

    Article • Statistics Optimization & Information Computing, August 2015, International Academic Press

    Professor Delfim F. M. Torres

  209. Optimal Solutions to Relaxation in Multiple Control Problems of Sobolev Type with Nonlocal Nonlinear Fractional Differential Equations

    Article • Journal of Optimization Theory and Applications, April 2015, Springer Science + Business Media

    Professor Delfim F. M. Torres

  210. Computing Hadamard type operators of variable fractional order

    Article • Applied Mathematics and Computation, April 2015, Elsevier

    Professor Delfim F. M. Torres

  211. Pressure responses of a vertically hydraulic fractured well in a reservoir with fractal structure

    Article • Applied Mathematics and Computation, April 2015, Elsevier

    Professor Delfim F. M. Torres

  212. Solving Abel integral equations of first kind via fractional calculus

    Article • Journal of King Saud University - Science, April 2015, Elsevier

    Professor Delfim F. M. Torres

  213. A TB-HIV/AIDS coinfection model and optimal control treatment

    Article • Discrete and Continuous Dynamical Systems, April 2015, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  214. Variational problems of Herglotz type with time delay: DuBois--Reymond condition and Noether's first theorem

    Article • Discrete and Continuous Dynamical Systems, April 2015, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  215. Nonsymmetric and symmetric fractional calculi on arbitrary nonempty closed sets

    Article • Mathematical Methods in the Applied Sciences, March 2015, Wiley

    Professor Delfim F. M. Torres

  216. Optimality conditions for fractional variational problems with dependence on a combined Caputo derivative of variable order

    Article • Optimization, February 2015, Taylor & Francis

    Professor Delfim F. M. Torres, Dina Tavares

  217. Multiobjective approach to optimal control for a tuberculosis model

    Article • Optimization Methods and Software, February 2015, Taylor & Francis

    Professor Delfim F. M. Torres

  218. A fractional calculus on arbitrary time scales: Fractional differentiation and fractional integration

    Article • Signal Processing, February 2015, Elsevier

    Professor Delfim F. M. Torres

  219. Duality for the left and right fractional derivatives

    Article • Signal Processing, February 2015, Elsevier

    Professor Delfim F. M. Torres

  220. Sobolev Type Fractional Dynamic Equations and Optimal Multi-Integral Controls with Fractional Nonlocal Conditions

    Article • Fractional Calculus and Applied Analysis, January 2015, De Gruyter

    Professor Delfim F. M. Torres, Amar Debbouche

  221. Advanced Methods in the Fractional Calculus of Variations

    Article • January 2015

    Professor Delfim F. M. Torres

  222. Introduction

    Article • January 2015, Springer Science + Business Media

    Professor Delfim F. M. Torres

  223. Conclusion

    Article • January 2015, Springer Science + Business Media

    Professor Delfim F. M. Torres

  224. Fractional Calculus

    Article • January 2015, Springer Science + Business Media

    Professor Delfim F. M. Torres

  225. Fractional Calculus of Variations

    Article • January 2015, Springer Science + Business Media

    Professor Delfim F. M. Torres

  226. Direct Methods in Fractional Calculus of Variations

    Article • January 2015, Springer Science + Business Media

    Professor Delfim F. M. Torres

  227. Standard Methods in Fractional Variational Calculus

    Article • January 2015, Springer Science + Business Media

    Professor Delfim F. M. Torres

  228. Application to the Sturm–Liouville Problem

    Article • January 2015, Springer Science + Business Media

    Professor Delfim F. M. Torres

  229. Mathematical Modelling, Simulation, and Optimal Control of the 2014 Ebola Outbreak in West Africa

    Article • Discrete Dynamics in Nature and Society, January 2015, Hindawi Publishing Corporation

    Professor Delfim F. M. Torres

  230. An Optimal Control Approach to Herglotz Variational Problems

    Article • January 2015, Springer Science + Business Media

    Professor Delfim F. M. Torres

  231. The Diamond Integral on Time Scales

    Article • Bulletin of the Malaysian Mathematical Sciences Society, December 2014, Springer Science + Business Media

    Professor Delfim F. M. Torres

  232. Seasonality effects on dengue: basic reproduction number, sensitivity analysis and optimal control

    Article • Mathematical Methods in the Applied Sciences, December 2014, Wiley

    Professor Delfim F. M. Torres

  233. Computational Methods in the Fractional Calculus of Variations

    Article • October 2014, World Scientific Pub Co Pte Lt

    Professor Delfim F. M. Torres

  234. Cost-Effectiveness Analysis of Optimal Control Measures for Tuberculosis

    Article • The Bulletin of Mathematical Biophysics, September 2014, Springer Science + Business Media

    Professor Delfim F. M. Torres

  235. Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions

    Article • Applied Mathematics and Computation, September 2014, Elsevier

    Professor Delfim F. M. Torres

  236. Generalized fractional operators for nonstandard Lagrangians

    Article • Mathematical Methods in the Applied Sciences, August 2014, Wiley

    Professor Delfim F. M. Torres

  237. A discrete method to solve fractional optimal control problems

    Article • Nonlinear Dynamics, April 2014, Springer Science + Business Media

    Professor Delfim F. M. Torres

  238. The Legendre condition of the fractional calculus of variations

    Article • Optimization, January 2014, Taylor & Francis

    Professor Delfim F. M. Torres

  239. Quantum Variational Calculus

    Article • January 2014

    Professor Delfim F. M. Torres

  240. Vaccination models and optimal control strategies to dengue

    Article • Mathematical Biosciences, January 2014, Elsevier

    Professor Delfim F. M. Torres

  241. Fractional and Time-Scales Differential Equations

    Article • Abstract and Applied Analysis, January 2014, Hindawi Publishing Corporation

    Professor Delfim F. M. Torres

  242. A general delta-nabla calculus of variations on time scales with application to economics

    Article • International Journal of Dynamical Systems and Differential Equations, January 2014, Inderscience Publishers

    Professor Delfim F. M. Torres

  243. Necessary Condition for an Euler-Lagrange Equation on Time Scales

    Article • Abstract and Applied Analysis, January 2014, Hindawi Publishing Corporation

    Professor Delfim F. M. Torres

  244. Optimal Control with Time Delays via the Penalty Method

    Article • Mathematical Problems in Engineering, January 2014, Hindawi Publishing Corporation

    Professor Delfim F. M. Torres

  245. Modeling TB-HIV Syndemic and Treatment

    Article • Journal of Applied Mathematics, January 2014, Hindawi Publishing Corporation

    Professor Delfim F. M. Torres

  246. Conclusion

    Article • November 2013, Springer Science + Business Media

    Professor Delfim F. M. Torres

  247. The Classical Calculus of Variations

    Article • November 2013, Springer Science + Business Media

    Professor Delfim F. M. Torres

  248. The Power Quantum Calculus

    Article • November 2013, Springer Science + Business Media

    Professor Delfim F. M. Torres

  249. The Hahn Quantum Variational Calculus

    Article • November 2013, Springer Science + Business Media

    Professor Delfim F. M. Torres

  250. The Cape Verde International Days on Mathematics 2013

    Article • Conference Papers in Mathematics, November 2013, Hindawi Publishing Corporation

    Professor Delfim F. M. Torres

  251. Higher-Order Variational Problems of Herglotz Type

    Article • Vietnam Journal of Mathematics, November 2013, Springer Science + Business Media

    Professor Delfim F. M. Torres

  252. Fractional order optimal control problems with free terminal time

    Article • Journal of Industrial & Management Optimization, October 2013, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  253. Control of a novel chaotic fractional order system using a state feedback technique

    Article • Mechatronics, October 2013, Elsevier

    Professor Delfim F. M. Torres

  254. Bioeconomic perspectives to an optimal control dengue model

    Article • International Journal of Computer Mathematics, October 2013, Taylor & Francis

    Professor Delfim F. M. Torres

  255. A discrete time method to the first variation of fractional order variational functionals

    Article • Open Physics, October 2013, De Gruyter

    Professor Delfim F. M. Torres

  256. Dengue in Cape Verde: Vector Control and Vaccination

    Article • Mathematical Population Studies, October 2013, Taylor & Francis

    Professor Delfim F. M. Torres

  257. Discrete direct methods in the fractional calculus of variations

    Article • Computers & Mathematics with Applications, September 2013, Elsevier

    Professor Delfim F. M. Torres

  258. Approximate controllability of fractional nonlocal delay semilinear systems in Hilbert spaces

    Article • International Journal of Control, September 2013, Taylor & Francis

    Professor Delfim F. M. Torres

  259. Fractional calculus of variations of several independent variables

    Article • The European Physical Journal Special Topics, September 2013, Springer Science + Business Media

    Professor Delfim F. M. Torres

  260. Sensitivity Analysis in a Dengue Epidemiological Model

    Article • Conference Papers in Mathematics, August 2013, Hindawi Publishing Corporation

    Professor Delfim F. M. Torres

  261. Optimal control for a tuberculosis model with reinfection and post-exposure interventions

    Article • Mathematical Biosciences, August 2013, Elsevier

    Professor Delfim F. M. Torres

  262. An Optimal Control Approach to Malaria Prevention via Insecticide-Treated Nets

    Article • Conference Papers in Mathematics, July 2013, Hindawi Publishing Corporation

    Professor Delfim F. M. Torres

  263. A Numerical Scheme to Solve Fractional Optimal Control Problems

    Article • Conference Papers in Mathematics, July 2013, Hindawi Publishing Corporation

    Professor Delfim F. M. Torres

  264. Optimal control strategies for reducing the number of active infected individuals with tuberculosis

    Article • July 2013, Society for Industrial & Applied Mathematics (SIAM)

    Professor Delfim F. M. Torres

  265. Fractional Isoperimetric Noether's Theorem in the Riemann–Liouville Sense

    Article • Reports on Mathematical Physics, June 2013, Elsevier

    Professor Delfim F. M. Torres

  266. Green’s theorem for generalized fractional derivatives

    Article • Fractional Calculus and Applied Analysis, March 2013, Springer Science + Business Media

    Professor Delfim F. M. Torres

  267. Symmetric differentiation on time scales

    Article • Applied Mathematics Letters, February 2013, Elsevier

    Professor Delfim F. M. Torres

  268. Noether’s theorem for non-smooth extremals of variational problems with time delay

    Article • Applicable Analysis, January 2013, Taylor & Francis

    Professor Delfim F. M. Torres

  269. Necessary optimality conditions for infinite horizon variational problems on time scales

    Article • Numerical Algebra Control & Optimization, January 2013, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  270. Hahn's symmetric quantum variational calculus

    Article • Numerical Algebra Control & Optimization, January 2013, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  271. Existence of Three Positive Solutions to Somep-Laplacian Boundary Value Problems

    Article • Discrete Dynamics in Nature and Society, January 2013, Hindawi Publishing Corporation

    Professor Delfim F. M. Torres

  272. Noether’s theorem for fractional variational problems of variable order

    Article • Open Physics, January 2013, De Gruyter

    Professor Delfim F. M. Torres

  273. A Symmetric Quantum Calculus

    Article • January 2013, Springer Science + Business Media

    Professor Delfim F. M. Torres

  274. A Symmetric Nörlund Sum with Application to Inequalities

    Article • January 2013, Springer Science + Business Media

    Professor Delfim F. M. Torres

  275. An Expansion Formula with Higher‐Order Derivatives for Fractional Operators of Variable Order

    Article • The Scientific World JOURNAL, January 2013, Wiley

    Professor Delfim F. M. Torres

  276. Variable order fractional variational calculus for double integrals

    Article • December 2012, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Delfim F. M. Torres

  277. Fractional Noether's theorem with classical and Riemann-Liouville derivatives

    Article • December 2012, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Delfim F. M. Torres

  278. Optimal control of nonlocal thermistor equations

    Article • International Journal of Control, November 2012, Taylor & Francis

    Professor Delfim F. M. Torres

  279. The existence of solutions for dynamic inclusions on time scales via duality

    Article • Applied Mathematics Letters, November 2012, Elsevier

    Professor Delfim F. M. Torres

  280. Approximation of fractional integrals by means of derivatives

    Article • Computers & Mathematics with Applications, November 2012, Elsevier

    Professor Delfim F. M. Torres

  281. Generalized fractional calculus with applications to the calculus of variations

    Article • Computers & Mathematics with Applications, November 2012, Elsevier

    Professor Delfim F. M. Torres

  282. The DuBois–Reymond Fundamental Lemma of the Fractional Calculus of Variations and an Euler–Lagrange Equation Involving Only Derivatives of Caputo

    Article • Journal of Optimization Theory and Applications, October 2012, Springer Science + Business Media

    Professor Delfim F. M. Torres

  283. Numerical approximations of fractional derivatives with applications

    Article • Asian Journal of Control, October 2012, Wiley

    Professor Delfim F. M. Torres

  284. Time scale differential, integral, and variational embeddings of Lagrangian systems

    Article • Computers & Mathematics with Applications, October 2012, Elsevier

    Professor Delfim F. M. Torres

  285. Higher-order infinite horizon variational problems in discrete quantum calculus

    Article • Computers & Mathematics with Applications, October 2012, Elsevier

    Professor Delfim F. M. Torres

  286. Optimal control strategies for tuberculosis treatment: A case study in Angola

    Article • Numerical Algebra Control & Optimization, August 2012, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  287. Noether's symmetry Theorem for variational and optimal control problems with time delay

    Article • Numerical Algebra Control & Optimization, August 2012, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  288. Towards a combined fractional mechanics and quantization

    Article • Fractional Calculus and Applied Analysis, June 2012, Springer Science + Business Media

    Professor Delfim F. M. Torres

  289. Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems on Time Scales

    Article • Journal of Optimization Theory and Applications, May 2012, Springer Science + Business Media

    Professor Delfim F. M. Torres

  290. Introduction to the Fractional Calculus of Variations

    Article • May 2012, World Scientific Pub Co Pte Lt

    Professor Delfim F. M. Torres

  291. Expansion Formulas in Terms of Integer-Order Derivatives for the Hadamard Fractional Integral and Derivative

    Article • Numerical Functional Analysis and Optimization, March 2012, Taylor & Francis

    Professor Delfim F. M. Torres

  292. The contingent epiderivative and the calculus of variations on time scales

    Article • Optimization, March 2012, Taylor & Francis

    Professor Delfim F. M. Torres

  293. Isoperimetric problems of the calculus of variations with fractional derivatives

    Article • Acta Mathematica Scientia, March 2012, Elsevier

    Professor Delfim F. M. Torres

  294. Fractional variational calculus with classical and combined Caputo derivatives

    Article • Nonlinear Analysis, February 2012, Elsevier

    Professor Delfim F. M. Torres

  295. Dengue disease, basic reproduction number and control

    Article • International Journal of Computer Mathematics, February 2012, Taylor & Francis

    Professor Delfim F. M. Torres

  296. Fractional variational problems depending on indefinite integrals

    Article • Nonlinear Analysis, February 2012, Elsevier

    Professor Delfim F. M. Torres

  297. Higher-order Hahn’s quantum variational calculus

    Article • Nonlinear Analysis, February 2012, Elsevier

    Professor Delfim F. M. Torres

  298. Existence and uniqueness of a positive solution to generalized nonlocal thermistor problems with fractional-order derivatives

    Article • Differential Equations & Applications, January 2012, Element d.o.o.

    Professor Delfim F. M. Torres

  299. Multiobjective fractional variational calculus in terms of a combined Caputo derivative

    Article • Applied Mathematics and Computation, January 2012, Elsevier

    Professor Delfim F. M. Torres

  300. Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics

    Article • Abstract and Applied Analysis, January 2012, Wiley

    Professor Delfim F. M. Torres

  301. Receptor-based biomimetic NVP/DMA contact lenses for loading/eluting carbonic anhydrase inhibitors

    Article • Journal of Membrane Science, November 2011, Elsevier

    Dr Carmen Alvarez-Lorenzo, Professor Delfim F. M. Torres

  302. Nondifferentiable variational principles in terms of a quantum operator

    Article • Mathematical Methods in the Applied Sciences, November 2011, Wiley

    Professor Delfim F. M. Torres

  303. Fractional Euler–Lagrange Differential Equations via Caputo Derivatives

    Article • October 2011, Springer Science + Business Media

    Professor Delfim F. M. Torres

  304. Fractional calculus of variations for a combined Caputo derivative

    Article • Fractional Calculus and Applied Analysis, September 2011, Springer Science + Business Media

    Professor Delfim F. M. Torres

  305. Fractional variational calculus for nondifferentiable functions

    Article • Computers & Mathematics with Applications, May 2011, Elsevier

    Professor Delfim F. M. Torres

  306. Generalizing the variational theory on time scales to include the delta indefinite integral

    Article • Computers & Mathematics with Applications, May 2011, Elsevier

    Professor Delfim F. M. Torres

  307. Modified optimal energy and initial memory of fractional continuous-time linear systems

    Article • Signal Processing, March 2011, Elsevier

    Professor Delfim F. M. Torres

  308. Discrete-time fractional variational problems

    Article • Signal Processing, March 2011, Elsevier

    Professor Delfim F. M. Torres

  309. Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives

    Article • Communications in Nonlinear Science and Numerical Simulation, March 2011, Elsevier

    Professor Delfim F. M. Torres

  310. Inequalities and majorisations for the Riemann-Stieltjes integral on time scales

    Article • Mathematical Inequalities & Applications, January 2011, Element d.o.o.

    Professor Delfim F. M. Torres

  311. Fractional h-difference equations arising from the calculus of variations

    Article • Applicable Analysis and Discrete Mathematics, January 2011, National Library of Serbia

    Professor Delfim F. M. Torres

  312. Guest Editorial

    Article • European Journal of Control, January 2011, Elsevier

    Professor Delfim F. M. Torres

  313. Fractional Derivatives in Dengue Epidemics

    Article • January 2011, American Institute of Physics

    Professor Delfim F. M. Torres

  314. The Second Euler-Lagrange Equation of Variational Calculus on Time Scales

    Article • European Journal of Control, January 2011, Elsevier

    Professor Delfim F. M. Torres

  315. Optimality conditions for the calculus of variations with higher-order delta derivatives

    Article • Applied Mathematics Letters, January 2011, Elsevier

    Professor Delfim F. M. Torres

  316. Necessary conditions for linear noncooperative N-player delta differential games on time scales

    Article • Discussiones Mathematicae Differential Inclusions Control and Optimization, January 2011, Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Gora

    Professor Delfim F. M. Torres

  317. Optimal Control of a Dengue Epidemic Model with Vaccination

    Article • January 2011, American Institute of Physics

    Professor Delfim F. M. Torres

  318. Noether’s symmetry theorem for nabla problems of the calculus of variations

    Article • Applied Mathematics Letters, December 2010, Elsevier

    Professor Delfim F. M. Torres

  319. Delta-nabla optimal control problems

    Article • Journal of Vibration and Control, November 2010, SAGE Publications

    Professor Delfim F. M. Torres

  320. Dynamics of Dengue epidemics when using optimal control

    Article • Mathematical and Computer Modelling, November 2010, Elsevier

    Professor Delfim F. M. Torres

  321. Fractional Noether’s theorem in the Riesz–Caputo sense

    Article • Applied Mathematics and Computation, October 2010, Elsevier

    Professor Delfim F. M. Torres

  322. Leitmann’s direct method for fractional optimization problems

    Article • Applied Mathematics and Computation, October 2010, Elsevier

    Professor Delfim F. M. Torres

  323. Preface

    Article • Discrete and Continuous Dynamical Systems, October 2010, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  324. Necessary optimality conditions for fractional difference problems of the calculus of variations

    Article • Discrete and Continuous Dynamical Systems, October 2010, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  325. Leitmann’s direct method of optimization for absolute extrema of certain problems of the calculus of variations on time scales

    Article • Applied Mathematics and Computation, October 2010, Elsevier

    Professor Delfim F. M. Torres

  326. Euler-Lagrange equations for composition functionals in calculus of variations on time scales

    Article • Discrete and Continuous Dynamical Systems, October 2010, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  327. Backward linear control systems on time scales

    Article • International Journal of Control, August 2010, Taylor & Francis

    Professor Delfim F. M. Torres

  328. A general backwards calculus of variations via duality

    Article • Optimization Letters, July 2010, Springer Science + Business Media

    Professor Delfim F. M. Torres

  329. The Hahn Quantum Variational Calculus

    Article • Journal of Optimization Theory and Applications, July 2010, Springer Science + Business Media

    Professor Delfim F. M. Torres

  330. A unified approach to the calculus of variations on time scales

    Article • May 2010, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Delfim F. M. Torres

  331. Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative

    Article • Computers & Mathematics with Applications, May 2010, Elsevier

    Professor Delfim F. M. Torres

  332. Avoidance Control on Time Scales

    Article • Journal of Optimization Theory and Applications, April 2010, Springer Science + Business Media

    Professor Delfim F. M. Torres

  333. Transversality conditions for infinite horizon variational problems on time scales

    Article • Optimization Letters, April 2010, Springer Science + Business Media

    Professor Delfim F. M. Torres

  334. Generalized Euler–Lagrange Equations for Variational Problems with Scale Derivatives

    Article • Letters in Mathematical Physics, March 2010, Springer Science + Business Media

    Professor Delfim F. M. Torres

  335. Natural boundary conditions in the calculus of variations

    Article • Mathematical Methods in the Applied Sciences, March 2010, Wiley

    Professor Delfim F. M. Torres

  336. A fractional calculus of variations for multiple integrals with application to vibrating string

    Article • Journal of Mathematical Physics, March 2010, American Institute of Physics

    Professor Delfim F. M. Torres

  337. Isoperimetric problems of the calculus of variations on time scales

    Article • January 2010, American Mathematical Society (AMS)

    Professor Delfim F. M. Torres

  338. A non-classical class of variational problems

    Article • International Journal of Mathematical Modelling and Numerical Optimisation, January 2010, Inderscience Publishers

    Professor Delfim F. M. Torres

  339. Insecticide Control in a Dengue Epidemics Model

    Article • January 2010, American Institute of Physics

    Professor Delfim F. M. Torres

  340. Integral inequalities and their applications to the calculus of variations on Time Scales

    Article • Mathematical Inequalities & Applications, January 2010, Element d.o.o.

    Professor Delfim F. M. Torres

  341. Calculus of variations with fractional derivatives and fractional integrals

    Article • Applied Mathematics Letters, December 2009, Elsevier

    Professor Delfim F. M. Torres

  342. Computing ODE symmetries as abnormal variational symmetries

    Article • Nonlinear Analysis, December 2009, Elsevier

    Professor Delfim F. M. Torres

  343. Calculus of variations on time scales with nabla derivatives

    Article • Nonlinear Analysis, December 2009, Elsevier

    Professor Delfim F. M. Torres

  344. Hölderian variational problems subject to integral constraints

    Article • Journal of Mathematical Analysis and Applications, November 2009, Elsevier

    Professor Delfim F. M. Torres

  345. Two-dimensional body of maximum mean resistance

    Article • Applied Mathematics and Computation, September 2009, Elsevier

    Professor Delfim F. M. Torres

  346. Combined dynamic Grüss inequalities on time scales

    Article • Journal of Mathematical Sciences, September 2009, Springer Science + Business Media

    Professor Delfim F. M. Torres

  347. Necessary and sufficient conditions for local Pareto optimality on time scales

    Article • Journal of Mathematical Sciences, September 2009, Springer Science + Business Media

    Professor Delfim F. M. Torres

  348. On the two-dimensional rotational body of maximal Newtonian resistance

    Article • Journal of Mathematical Sciences, September 2009, Springer Science + Business Media

    Professor Delfim F. M. Torres

  349. Generalized retarded integral inequalities

    Article • Applied Mathematics Letters, June 2009, Elsevier

    Professor Delfim F. M. Torres

  350. Generalizations of Gronwall–Bihari inequalities on time scales

    Article • The Journal of Difference Equations and Applications, June 2009, Taylor & Francis

    Professor Delfim F. M. Torres

  351. The Natural Logarithm on Time Scales

    Article • Journal of Dynamical Systems and Geometric Theories, May 2009, Taru Publications

    Professor Delfim F. M. Torres

  352. Isoperimetric Problems on Time Scales with Nabla Derivatives

    Article • Journal of Vibration and Control, March 2009, SAGE Publications

    Professor Delfim F. M. Torres

  353. Optimization of Dengue Epidemics: A Test Case with Different Discretization Schemes

    Article • January 2009, American Institute of Physics

    Professor Delfim F. M. Torres

  354. Strong minimizers of the calculus of variations on time scales and the Weierstrass condition

    Article • Proceedings of the Estonian Academy of Sciences, January 2009, Estonian Academy Publishers

    Professor Delfim F. M. Torres

  355. Regularity of solutions to higher-order integrals of the calculus of variations

    Article • International Journal of Systems Science, September 2008, Taylor & Francis

    Professor Delfim F. M. Torres

  356. Noether's theorem on time scales

    Article • Journal of Mathematical Analysis and Applications, June 2008, Elsevier

    Professor Delfim F. M. Torres

  357. Dynamics of controlled hybrid systems of aerial cable-ways

    Article • Nonlinear Analysis Hybrid Systems, June 2008, Elsevier

    Professor Delfim F. M. Torres

  358. Fractional actionlike variational problems

    Article • Journal of Mathematical Physics, May 2008, American Institute of Physics

    Professor Delfim F. M. Torres

  359. Computational Approach to Essential and Nonessential Objective Functions in Linear Multicriteria Optimization

    Article • Journal of Optimization Theory and Applications, April 2008, Springer Science + Business Media

    Professor Delfim F. M. Torres

  360. Numerical analysis of a nonlocal parabolic problem resulting from thermistor problem

    Article • Mathematics and Computers in Simulation, March 2008, Elsevier

    Professor Delfim F. M. Torres

  361. Higher-Order Calculus of Variations on Time Scales

    Article • January 2008, Springer Science + Business Media

    Professor Delfim F. M. Torres

  362. Necessary Optimality Condition for a Discrete Dead Oil Isotherm Optimal Control Problem

    Article • January 2008, Springer Science + Business Media

    Professor Delfim F. M. Torres

  363. Diamond- Jensen's Inequality on Time Scales

    Article • Journal of Inequalities and Applications, January 2008, Springer Science + Business Media

    Professor Delfim F. M. Torres

  364. Evolution strategies in optimization problems; 299-309

    Article • Proceedings of the Estonian Academy of Sciences Physics Mathematics, December 2007, Estonian Academy Publishers

    Professor Delfim F. M. Torres

  365. Nonessential functionals in multiobjective optimal control problems; 336-346

    Article • Proceedings of the Estonian Academy of Sciences Physics Mathematics, December 2007, Estonian Academy Publishers

    Professor Delfim F. M. Torres

  366. Fractional conservation laws in optimal control theory

    Article • Nonlinear Dynamics, November 2007, Springer Science + Business Media

    Professor Delfim F. M. Torres

  367. Contrasting Two Transformation-based Methods for Obtaining Absolute Extrema

    Article • Journal of Optimization Theory and Applications, October 2007, Springer Science + Business Media

    Professor Delfim F. M. Torres

  368. A formulation of Noether's theorem for fractional problems of the calculus of variations

    Article • Journal of Mathematical Analysis and Applications, October 2007, Elsevier

    Professor Delfim F. M. Torres

  369. Conservation laws for invariant functionals containing compositions§

    Article • Applicable Analysis, September 2007, Taylor & Francis

    Professor Delfim F. M. Torres

  370. Necessary Optimality Conditions for a Dead Oil Isotherm Optimal Control Problem

    Article • Journal of Optimization Theory and Applications, July 2007, Springer Science + Business Media

    Professor Delfim F. M. Torres

  371. Necessary optimality conditions for fractional action‐like integrals of variational calculus with Riemann–Liouville derivatives of order (α, β)

    Article • Mathematical Methods in the Applied Sciences, April 2007, Wiley

    Professor Delfim F. M. Torres

  372. A Dual Mesh Method for a Non-Local Thermistor Problem

    Article • Symmetry Integrability and Geometry Methods and Applications, June 2006, SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

    Professor Delfim F. M. Torres

  373. A Noether Theorem on Unimprovable Conservation Laws for Vector-Valued Optimization Problems in Control Theory

    Article • Georgian Mathematical Journal, March 2006, De Gruyter

    Professor Delfim F. M. Torres

  374. Analysis of vibrations in large flexible hybrid systems

    Article • Nonlinear Analysis, November 2005, Elsevier

    Professor Delfim F. M. Torres

  375. Newton's aerodynamic problem in media of chaotically moving particles

    Article • Sbornik Mathematics, June 2005, Turpion-Moscow Limited

    Professor Delfim F. M. Torres

  376. Automatic Computation of Conservation Laws in the Calculus of Variations and Optimal Control

    Article • Computational Methods in Applied Mathematics, January 2005, De Gruyter

    Professor Delfim F. M. Torres

  377. Аэродинамическая задача Ньютона в средах хаотически движущихся частиц

    Article • Математический сборник, January 2005, Steklov Mathematical Institute

    Professor Delfim F. M. Torres

  378. Proper extensions of Noether's symmetry theorem for nonsmooth extremals of the calculus of variations

    Article • Communications on Pure & Applied Analysis, June 2004, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

  379. Carathéodory Equivalence, Noether Theorems, and Tonelli Full-Regularity in the Calculus of Variations and Optimal Control

    Article • Journal of Mathematical Sciences, March 2004, Springer Science + Business Media

    Professor Delfim F. M. Torres

  380. Lipschitzian Regularity of the Minimizing Trajectories for Nonlinear Optimal Control Problems

    Article • Mathematics of Control Signals and Systems, September 2003, Springer Science + Business Media

    Professor Delfim F. M. Torres

  381. On the Noether Theorem for Optimal Control

    Article • European Journal of Control, January 2002, Elsevier

    Professor Delfim F. M. Torres

  382. Dynamics, Bifurcations, and Control

    Article • January 2002, Springer Science + Business Media

    Professor Delfim F. M. Torres

  383. Lipschitzian Regularity Conditions for the Minimizing Trajectories of Optimal Control Problems

    Article • January 2001, Springer Science + Business Media

    Professor Delfim F. M. Torres

  384. Lipschitzian Regularity of Minimizers for Optimal Control Problems with Control-Affine Dynamics

    Article • Applied Mathematics & Optimization, March 2000, Springer Science + Business Media

    Professor Delfim F. M. Torres

  385. Conservation Laws in Optimal Control

    Article • Springer Science + Business Media

    Professor Delfim F. M. Torres

  386. Regularity of Solutions for the Autonomous Integrals of the Calculus of Variations

    Article • Springer Science + Business Media

    Professor Delfim F. M. Torres

  387. Weak conservation laws for minimizers which are not pontryagin extremals

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Professor Delfim F. M. Torres