Contact

All Stories

  1. Why fractional derivatives with nonsingular kernels should not be used

    Article • Fractional Calculus and Applied Analysis, June 2020, De Gruyter

    Prof. Roberto Garrappa

  2. A practical guide to Prabhakar fractional calculus

    Article • Fractional Calculus and Applied Analysis, February 2020, De Gruyter

    Prof. Roberto Garrappa, Francesco MAINARDI

  3. Some results on the complete monotonicity of Mittag-Leffler functions of Le Roy type

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

    Prof. Roberto Garrappa

  4. FCAA related news, events and books (FCAA–volume 21–1–2018)

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

    Prof. Virginia S. Kiryakova, Prof. Roberto Garrappa, Professor Alberto Cabada, Francesco Paolo Pinnola

  5. On a generalized three-parameter wright function of Le Roy type

    Article • Fractional Calculus and Applied Analysis, October 2017, De Gruyter

    Prof. Roberto Garrappa, Francesco MAINARDI

  6. On the time-fractional Schrödinger equation: Theoretical analysis and numerical solution by matrix Mittag-Leffler functions

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

    Prof. Roberto Garrappa

  7. Grünwald–Letnikov operators for fractional relaxation in Havriliak–Negami models

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

    Prof. Roberto Garrappa

  8. Fractional Prabhakar Derivative and Applications in Anomalous Dielectrics: A Numerical Approach

    Article • August 2016, Springer Science + Business Media

    Prof. Roberto Garrappa

  9. SDS2014 Guest Editorial

    Article • Mathematics and Computers in Simulation, July 2016, Elsevier

    Prof. Roberto Garrappa

  10. Properties of the Volterra functions and correlations to Ramanujan integrals

    Article • Analysis, January 2016, De Gruyter

    Prof. Roberto Garrappa, Francesco MAINARDI

  11. 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

  12. Relaxation in dielectric materials according to functions that have a completely monotone property

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

    Prof. Roberto Garrappa, Dr. Guido Maione, Francesco MAINARDI

  13. Model Optimization and Flow Rate Prediction in Electro-injectors of Diesel Injection Systems

    Article • IFAC-PapersOnLine, January 2016, Elsevier

    Prof. Roberto Garrappa

  14. Modeling and numerical analysis of fractional-order dynamics in electro-injectors pipes

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

    Prof. Roberto Garrappa

  15. On complete monotonicity of the Prabhakar function and non-Debye relaxation in dielectrics

    Article • Journal of Computational Physics, July 2015, Elsevier

    Prof. Roberto Garrappa

  16. Solving the time-fractional Schrödinger equation by Krylov projection methods

    Article • Journal of Computational Physics, July 2015, Elsevier

    Prof. Roberto Garrappa

  17. Suppressing chaos in discontinuous systems of fractional order by active control

    Article • Applied Mathematics and Computation, April 2015, Elsevier

    Prof. Roberto Garrappa, Dr. Marius-F. Danca

  18. Trapezoidal methods for fractional differential equations: Theoretical and computational aspects

    Article • Mathematics and Computers in Simulation, April 2015, Elsevier

    Prof. Roberto Garrappa

  19. Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions

    Article • SIAM Journal on Numerical Analysis, January 2015, Society for Industrial & Applied Mathematics (SIAM)

    Prof. Roberto Garrappa

  20. Fast evaluation of the Mittag-Leffler function on the imaginary axis

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

    Prof. Roberto Garrappa

  21. Time-domain simulation for fractional relaxation of Havriliak-Negami type

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

    Prof. Roberto Garrappa

  22. A pseudo-spectral scheme for the approximate solution of a time-fractional diffusion equation

    Article • International Journal of Computer Mathematics, May 2014, Taylor & Francis

    Prof. Roberto Garrappa

  23. Exponential Quadrature Rules for Linear Fractional Differential Equations

    Article • Mediterranean Journal of Mathematics, February 2014, Springer Science + Business Media

    Prof. Roberto Garrappa

  24. On some generalizations of the implicit Euler method for discontinuous fractional differential equations

    Article • Mathematics and Computers in Simulation, January 2014, Elsevier

    Prof. Roberto Garrappa

  25. Editorial

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

    Professor Vasily E Tarasov, Prof. Roberto Garrappa, Professor Juan J Trujillo

  26. Sustaining stable dynamics of a fractional-order chaotic financial system by parameter switching

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

    Prof. Roberto Garrappa, Dr. Marius-F. Danca

  27. Exponential integrators for time–fractional partial differential equations

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

    Prof. Roberto Garrappa

  28. A family of Adams exponential integrators for fractional linear systems

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

    Prof. Roberto Garrappa

  29. Model order reduction on Krylov subspaces for fractional linear systems * *This work is supported by the national project PRIN 2009F4NZJP “Non integer order systems in modeling and control”, funded by the Italian Ministry of University and Research (MI...

    Article • IFAC Proceedings Volumes, February 2013, Elsevier

    Prof. Roberto Garrappa

  30. Pseudo-recursive Trapezoidal Rule for the Numerical Solution of Linear Fractional Differential Equations * *The work of A. Pisano, D. Nessi and R. Garrappa has been supported by the Italian Ministry of University and Research (MIUR) under project “Non ...

    Article • IFAC Proceedings Volumes, February 2013, Elsevier

    Prof. Roberto Garrappa

  31. Nonstandard finite difference schemes for a fractional-order Brusselator system

    Article • Advances in Difference Equations, January 2013, Springer Science + Business Media

    Prof. Roberto Garrappa

  32. Evaluation of generalized Mittag–Leffler functions on the real line

    Article • Advances in Computational Mathematics, August 2012, Springer Science + Business Media

    Prof. Roberto Garrappa

  33. STABILITY-PRESERVING HIGH-ORDER METHODS FOR MULTITERM FRACTIONAL DIFFERENTIAL EQUATIONS

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

    Prof. Roberto Garrappa

  34. Generalized exponential time differencing methods for fractional order problems

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

    Prof. Roberto Garrappa

  35. On accurate product integration rules for linear fractional differential equations

    Article • Journal of Computational and Applied Mathematics, January 2011, Elsevier

    Prof. Roberto Garrappa

  36. On the use of matrix functions for fractional partial differential equations

    Article • Mathematics and Computers in Simulation, January 2011, Elsevier

    Prof. Roberto Garrappa

  37. Study and improve stability of methods for FDEs

    Article • International Journal of Computer Mathematics, August 2010, Taylor & Francis

    Prof. Roberto Garrappa

  38. Order conditions for Volterra Runge–Kutta methods

    Article • Applied Numerical Mathematics, May 2010, Elsevier

    Prof. Roberto Garrappa

  39. On some explicit Adams multistep methods for fractional differential equations

    Article • Journal of Computational and Applied Mathematics, July 2009, Elsevier

    Prof. Roberto Garrappa

  40. Explicit methods for fractional differential equations and their stability properties

    Article • Journal of Computational and Applied Mathematics, June 2009, Elsevier

    Prof. Roberto Garrappa

  41. Fractional Adams–Moulton methods

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

    Prof. Roberto Garrappa

  42. A Comparison of Some Explicit Methods for Fractional Differential Equations

    Article • January 2008, American Institute of Physics

    Prof. Roberto Garrappa

  43. The use of geometric meshes in product integration Simpson's rules

    Article • Journal of Computational and Applied Mathematics, December 2007, Elsevier

    Prof. Roberto Garrappa

  44. Some formulas for sums of binomial coefficients and gamma functions

    Article • International Mathematical Forum, January 2007, Hikari, Ltd.

    Prof. Roberto Garrappa

  45. On Multistep Methods for Differential Equations of Fractional Order

    Article • Mediterranean Journal of Mathematics, November 2006, Springer Science + Business Media

    Prof. Roberto Garrappa

  46. An analysis of convergence for two-stage waveform relaxation methods

    Article • Journal of Computational and Applied Mathematics, August 2004, Elsevier

    Prof. Roberto Garrappa

  47. Convergence analysis of time-point relaxation iterates for linear systems of differential equations

    Article • Journal of Computational and Applied Mathematics, May 1997, Elsevier

    Prof. Roberto Garrappa