All Stories

  1. On the Numerical Computation of the Mittag–Leffler Function

    Article • International Journal of Nonlinear Sciences and Numerical Simulation, October 2019, De Gruyter

    Prof. Manuel D Ortigueira, Antonio Lopes

  2. The failure of certain fractional calculus operators in two physical models

    Article • Fractional Calculus and Applied Analysis, April 2019, De Gruyter

    Prof. Manuel D Ortigueira

  3. Novel polarization index evaluation formula and fractional-order dynamics in electric motor insulation resistance

    Article • Fractional Calculus and Applied Analysis, June 2018, De Gruyter

    Prof. Manuel D Ortigueira

  4. Methodology of Electrochemical Capacitor Quality Control with Fractional Order Model

    Article • AEU - International Journal of Electronics and Communications, May 2018, Elsevier

    Prof. Manuel D Ortigueira

  5. Reducing bias in fractional order impedance estimation for lung function evaluation

    Article • Biomedical Signal Processing and Control, January 2018, Elsevier

    Prof. Manuel D Ortigueira

  6. On the computation of the multidimensional Mittag-Leffler function

    Article • Communications in Nonlinear Science and Numerical Simulation, December 2017, Elsevier

    Prof. Manuel D Ortigueira, Professor Jose Tenreiro Machado, Antonio Lopes

  7. Fractional-order circuit models of the human body impedance for compliance tests against contact currents

    Article • AEU - International Journal of Electronics and Communications, August 2017, Elsevier

    Prof. Manuel D Ortigueira

  8. Which Derivative?

    Article • Fractal and Fractional, July 2017, MDPI AG

    Prof. Manuel D Ortigueira, Professor Jose Tenreiro Machado

  9. Fractional Definite Integral

    Article • Fractal and Fractional, July 2017, MDPI AG

    Prof. Manuel D Ortigueira, Professor Jose Tenreiro Machado

  10. Fractional Calculus Applications in Modeling and Design of Control Systems

    Article • Journal of Applied Nonlinear Dynamics, June 2017, L&H Scientific Publishing, LLC

    Prof. Manuel D Ortigueira

  11. A new look at the fractionalization of the logistic equation

    Article • Physica A Statistical Mechanics and its Applications, February 2017, Elsevier

    Dr. Gabriel Bengochea, Prof. Manuel D Ortigueira

  12. 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

  13. A multichannel time–frequency and multi-wavelet toolbox for uterine electromyography processing and visualisation

    Article • Computers in Biology and Medicine, September 2016, Elsevier

    Prof. Manuel D Ortigueira

  14. Editorial special issue: “Dynamics and Control of Fractional Order Systems” International Journal of Dynamics and Control

    Article • International Journal of Dynamics and Control, June 2016, Springer Science + Business Media

    Prof. Manuel D Ortigueira, Professor Jose Tenreiro Machado

  15. Recursive-operational method to solve fractional linear systems

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

    Prof. Manuel D Ortigueira, Dr. Gabriel Bengochea

  16. A recursive-operational approach with applications to linear differential systems

    Article • Journal of Applied Analysis, January 2016, De Gruyter

    Dr. Gabriel Bengochea, Prof. Manuel D Ortigueira

  17. Steady-state response of constant coefficient discrete-time differential systems

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

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  18. Fractional Calculus: D’où venons-nous? Que sommes-nous? Où allons-nous?

    Article • Fractional Calculus and Applied Analysis, January 2016, De Gruyter

    Professor Jose Tenreiro Machado, Prof. Virginia S. Kiryakova, Professor Dumitru Baleanu, Prof. Dr. Kai Diethelm, Prof. Roberto Garrappa, Prof. Dr. Yuri Luchko, Prof., Dr Raoul R. Nigmatullin, Prof. Manuel D Ortigueira, Professor Vasily E Tarasov, Teodor Atanackovic, Rachid Malti

  19. An operational approach to solve fractional continuous–time linear systems

    Article • International Journal of Dynamics and Control, December 2015, Springer Science + Business Media

    Dr. Gabriel Bengochea, Prof. Manuel D Ortigueira

  20. Fractional derivatives and periodic functions

    Article • International Journal of Dynamics and Control, November 2015, Springer Science + Business Media

    Professor Juan J Trujillo , Prof. Manuel D Ortigueira, Professor Jose Tenreiro Machado

  21. Comments on “Discretization of fractional order differentiator over Paley–Wiener space”

    Article • Applied Mathematics and Computation, November 2015, Elsevier

    Prof. Manuel D Ortigueira

  22. Integer/fractional decomposition of the impulse response of fractional linear systems

    Article • Signal Processing, September 2015, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo , Professor Jose Tenreiro Machado

  23. What is a fractional derivative?

    Article • Journal of Computational Physics, July 2015, Elsevier

    Prof. Manuel D Ortigueira, Professor Jose Tenreiro Machado

  24. An Alternative Method for ARMA(p, q) Model Characterization of Multipath Fading Channels

    Article • May 2015, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Manuel D Ortigueira

  25. From a generalised Helmholtz decomposition theorem to fractional Maxwell equations

    Article • Communications in Nonlinear Science and Numerical Simulation, May 2015, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  26. Discrete-time differential systems

    Article • Signal Processing, February 2015, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  27. A generalized power series and its application in the inversion of transfer functions

    Article • Signal Processing, February 2015, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  28. Fractional model of an electrochemical capacitor

    Article • Signal Processing, February 2015, Elsevier

    Prof. Manuel D Ortigueira

  29. Fractional signal processing and applications

    Article • Signal Processing, February 2015, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo , Professor Jose Tenreiro Machado

  30. On the particular solution of constant coefficient fractional differential equations

    Article • Applied Mathematics and Computation, October 2014, Elsevier

    Prof. Manuel D Ortigueira

  31. Riesz potential versus fractional Laplacian

    Article • Journal of Statistical Mechanics Theory and Experiment, September 2014, Institute of Physics Publishing

    Prof. Manuel D Ortigueira, Professor Jose Tenreiro Machado

  32. On the “walking dead” derivatives: Riemann-Liouville and Caputo

    Article • June 2014, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Manuel D Ortigueira

  33. A simple approach to the particular solution of constant coefficient ordinary differential equations

    Article • Applied Mathematics and Computation, April 2014, Elsevier

    Prof. Manuel D Ortigueira

  34. Advanced Digital Signal Processing and Coding for Multi-Tb\/s Optical Transport [From the Guest Editors]

    Article • IEEE Signal Processing Magazine, March 2014, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Manuel D Ortigueira

  35. On the Recursive Solution to the Normal Equations: Some Other Results [Lecture Notes]

    Article • IEEE Signal Processing Magazine, March 2014, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Manuel D Ortigueira

  36. Rhapsody in fractional

    Article • Fractional Calculus and Applied Analysis, January 2014, De Gruyter Open Sp. z o.o.

    Prof. Manuel D Ortigueira, Professor Jose Tenreiro Machado, Antonio Lopes

  37. A new look into the discrete-time fractional calculus: derivatives and exponentials

    Article • IFAC Proceedings Volumes, February 2013, Elsevier

    Prof. Manuel D Ortigueira

  38. A new look into the discrete-time fractional calculus: transform and linear systems

    Article • IFAC Proceedings Volumes, February 2013, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  39. Observability and Controllability of Fractional Linear Dynamical Systems

    Article • IFAC Proceedings Volumes, February 2013, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  40. ARMA Modelling for Sleep Disorders Diagnose

    Article • January 2013, Springer Science + Business Media

    Prof. Manuel D Ortigueira

  41. A unified approach to fractional derivatives

    Article • Communications in Nonlinear Science and Numerical Simulation, December 2012, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  42. Comments on “The fractional Laplace transform”

    Article • Signal Image and Video Processing, July 2012, Springer Science + Business Media

    Prof. Manuel D Ortigueira

  43. A real regularised fractional derivative

    Article • Signal Image and Video Processing, May 2012, Springer Science + Business Media

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  44. THE INCREMENTAL RATIO BASED CAUSAL FRACTIONAL CALCULUS

    Article • International Journal of Bifurcation and Chaos, April 2012, World Scientific Pub Co Pte Lt

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  45. A Relation Between the Fractional Derivative and the Hilbert Transform

    Article • IFAC Proceedings Volumes, January 2012, Elsevier

    Prof. Manuel D Ortigueira

  46. A New Approach to Rational Discrete-Time Approximations to Continuous-Time Fractional-Order Systems

    Article • January 2012, Springer Science + Business Media

    Prof. Manuel D Ortigueira

  47. Preface of the "Symposium on fractional calculus and applications"

    Article • January 2012, American Institute of Physics

    Prof. Manuel D Ortigueira

  48. Short Time Fourier Transform and Automatic Visual Scoring for the Detection of Sleep Spindles

    Article • January 2012, Springer Science + Business Media

    Prof. Manuel D Ortigueira

  49. Two-sided discrete fractional derivatives and systems

    Article • January 2012, American Institute of Physics

    Prof. Manuel D Ortigueira

  50. Complex Grünwald–Letnikov, Liouville, Riemann–Liouville, and Caputo derivatives for analytic functions

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

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  51. Rising sun reticle seeker with matched filter

    Article • April 2011, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Manuel D Ortigueira

  52. Sleep spindles: Decomposition, parameterization and applications

    Article • April 2011, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Manuel D Ortigueira

  53. Fractional signals and systems

    Article • Signal Processing, March 2011, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo , Professor Jose Tenreiro Machado

  54. On the fractional signals and systems

    Article • Signal Processing, March 2011, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  55. A Travel Through the World of Fractional Calculus

    Article • January 2011, Springer Science + Business Media

    Prof. Manuel D Ortigueira

  56. ARMA Modelling of Sleep Spindles

    Article • January 2011, Springer Science + Business Media

    Prof. Manuel D Ortigueira

  57. Fractional Calculus for Scientists and Engineers

    Article • January 2011

    Prof. Manuel D Ortigueira

  58. Fractional Linear Shift-Invariant Systems

    Article • January 2011, Springer Science + Business Media

    Prof. Manuel D Ortigueira

  59. Generalized Grünwald–Letnikov Fractional Derivative and Its Laplace and Fourier Transforms

    Article • Journal of Computational and Nonlinear Dynamics, January 2011, ASME International

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  60. Integral Representations

    Article • January 2011, Springer Science + Business Media

    Prof. Manuel D Ortigueira

  61. On a Unified Fractional Derivative

    Article • January 2011, ASME International

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  62. The Causal Fractional Derivatives

    Article • January 2011, Springer Science + Business Media

    Prof. Manuel D Ortigueira

  63. The Fractional Quantum Derivative and the Fractional Linear Scale Invariant Systems

    Article • January 2011, Springer Science + Business Media

    Prof. Manuel D Ortigueira

  64. Two-Sided Fractional Derivatives

    Article • January 2011, Springer Science + Business Media

    Prof. Manuel D Ortigueira

  65. Where are We Going To?

    Article • January 2011, Springer Science + Business Media

    Prof. Manuel D Ortigueira

  66. On the Fractional Linear Scale Invariant Systems

    Article • IEEE Transactions on Signal Processing, December 2010, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Manuel D Ortigueira

  67. The fractional quantum derivative and its integral representations

    Article • Communications in Nonlinear Science and Numerical Simulation, April 2010, Elsevier

    Prof. Manuel D Ortigueira

  68. System initial conditions vs derivative initial conditions

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

    Prof. Manuel D Ortigueira

  69. A Contribution for the Automatic Sleep Classification Based on the Itakura-Saito Spectral Distance

    Article • January 2010, Springer Science + Business Media

    Prof. Manuel D Ortigueira

  70. Fractional Filters: An Optimization Approach

    Article • January 2010, Springer Science + Business Media

    Prof. Manuel D Ortigueira

  71. MicroECG: An Integrated Platform for the Cardiac Arrythmia Detection and Characterization

    Article • January 2010, Springer Science + Business Media

    Prof. Manuel D Ortigueira

  72. Railscan: A Tool for the Detection and Quantification of Rail Corrugation

    Article • January 2010, Springer Science + Business Media

    Prof. Manuel D Ortigueira

  73. Time–frequency analysis methods to quantify the time-varying microstructure of sleep EEG spindles: Possibility for dementia biomarkers?

    Article • Journal of Neuroscience Methods, December 2009, Elsevier

    Prof. Manuel D Ortigueira

  74. Comments on “Modeling fractional stochastic systems as non-random fractional dynamics driven Brownian motions”

    Article • Applied Mathematical Modelling, May 2009, Elsevier

    Prof. Manuel D Ortigueira

  75. Generalized GL Fractional Derivative and Its Laplace and Fourier Transform

    Article • January 2009, ASME International

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  76. Fractional Central Differences and Derivatives

    Article • Journal of Vibration and Control, September 2008, SAGE Publications

    Prof. Manuel D Ortigueira

  77. On the HHT, its problems, and some solutions

    Article • Mechanical Systems and Signal Processing, August 2008, Elsevier

    Prof. Manuel D Ortigueira

  78. On the relation between the fractional Brownian motion and the fractional derivatives

    Article • Physics Letters A, February 2008, Elsevier

    Prof. Manuel D Ortigueira

  79. An introduction to the fractional continuous-time linear systems: the 21st century systems

    Article • IEEE Circuits and Systems Magazine, January 2008, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Manuel D Ortigueira

  80. Identifying a Transfer Function From a Frequency Response

    Article • Journal of Computational and Nonlinear Dynamics, January 2008, ASME International

    Prof. Manuel D Ortigueira

  81. Potential dementia biomarkers based on the time-varying microstructure of sleep EEG spindles

    Article • August 2007, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Manuel D Ortigueira

  82. A New Look at the Fractional Brownian Motion Definition

    Article • January 2007, ASME International

    Prof. Manuel D Ortigueira

  83. Identifying a Transfer Function From a Frequency Response

    Article • January 2007, ASME International

    Prof. Manuel D Ortigueira

  84. New quasi-orthogonal BCH-derived sequences for CDMA applications

    Article • European Transactions on Telecommunications, January 2007, Wiley

    Prof. Manuel D Ortigueira

  85. Pseudo-fractional ARMA modelling using a double Levinson recursion

    Article • IET Control Theory and Applications, January 2007, the Institution of Engineering and Technology (the IET)

    Prof. Manuel D Ortigueira

  86. Riesz Potentials as Centred Derivatives

    Article • January 2007, Springer Science + Business Media

    Prof. Manuel D Ortigueira, Professor Jose Tenreiro Machado

  87. A coherent approach to non-integer order derivatives

    Article • Signal Processing, October 2006, Elsevier

    Prof. Manuel D Ortigueira

  88. A new least-squares approach to differintegration modeling

    Article • Signal Processing, October 2006, Elsevier

    Prof. Manuel D Ortigueira

  89. Fractional calculus applications in signals and systems

    Article • Signal Processing, October 2006, Elsevier

    Prof. Manuel D Ortigueira, Professor Jose Tenreiro Machado

  90. New PN Even Balanced Sequences for Spread-Spectrum Systems

    Article • EURASIP Journal on Wireless Communications and Networking, January 2005, Springer Science + Business Media

    Prof. Manuel D Ortigueira

  91. Which differintegration?

    Article • IEE Proceedings - Vision Image and Signal Processing, January 2005, the Institution of Engineering and Technology (the IET)

    Prof. Manuel D Ortigueira, Professor Jose Tenreiro Machado

  92. A Fractional Linear System View of the Fractional Brownian Motion

    Article • Nonlinear Dynamics, December 2004, Springer Science + Business Media

    Prof. Manuel D Ortigueira

  93. A new symmetric fractional B-spline

    Article • Signal Processing, November 2003, Elsevier

    Prof. Manuel D Ortigueira

  94. Fractional signal processing and applications

    Article • Signal Processing, November 2003, Elsevier

    Prof. Manuel D Ortigueira, Professor Jose Tenreiro Machado

  95. On the initial conditions in continuous-time fractional linear systems

    Article • Signal Processing, November 2003, Elsevier

    Prof. Manuel D Ortigueira

  96. Digital-domain self-calibration technique for video-rate pipeline A∕D converters using Gaussian white noise

    Article • Electronics Letters, January 2002, the Institution of Engineering and Technology (the IET)

    Prof. Manuel D Ortigueira

  97. Article • Nonlinear Dynamics, January 2002, Springer Science + Business Media

    Prof. Manuel D Ortigueira

  98. The comb signal and its Fourier transform

    Article • Signal Processing, March 2001, Elsevier

    Prof. Manuel D Ortigueira

  99. Introduction to fractional linear systems. Part 1: Continuous-time case

    Article • IEE Proceedings - Vision Image and Signal Processing, January 2000, the Institution of Engineering and Technology (the IET)

    Prof. Manuel D Ortigueira

  100. Introduction to fractional linear systems. Part 2: Discrete-time case

    Article • IEE Proceedings - Vision Image and Signal Processing, January 2000, the Institution of Engineering and Technology (the IET)

    Prof. Manuel D Ortigueira

  101. A new algorithm for the factorization and inversion of recursively generated matrices

    Article • Signal Processing, July 1996, Elsevier

    Prof. Manuel D Ortigueira

  102. ARMA realization from the reflection coefficient sequence

    Article • Signal Processing, June 1993, Elsevier

    Prof. Manuel D Ortigueira

  103. Eigendecomposition versus singular value decomposition in adaptive array signal processing

    Article • Signal Processing, October 1991, Elsevier

    Prof. Manuel D Ortigueira

  104. A three step algorithm for ARMA modeling

    Article • Signal Processing, July 1988, Elsevier

    Prof. Manuel D Ortigueira

  105. Global versus local minimization in least-squares AR spectral estimation

    Article • Signal Processing, December 1984, Elsevier

    Prof. Manuel D Ortigueira

  106. A weighted min-norm method with a recursive implementation

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Manuel D Ortigueira

  107. Fractional discrete-time linear systems

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Manuel D Ortigueira

  108. Low-voltage low-power CMOS analogue circuits for Gaussian and uniform noise generation

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Manuel D Ortigueira

  109. On the Fractional Derivative of Stationary Stochastic Processes

    Article • Civil-Comp, Ltd.

    Prof. Manuel D Ortigueira