Fractional Adams-Moulton methods. - Luciano Galeone; Roberto Garrappa (Math. Comput. Simul., 2008)

On linear stability of predictor-corrector algorithms for fractional differential equations. - Roberto Garrappa (Int. J. Comput. Math., 2010)

Generalized exponential time differencing methods for fractional order problems. - Roberto Garrappa; Marina Popolizio (Comput. Math. Appl., 2011)

On accurate product integration rules for linear fractional differential equations. - Roberto Garrappa; Marina Popolizio (J. Comput. Appl. Math., 2011)

On the use of matrix functions for fractional partial differential equations. - Roberto Garrappa; Marina Popolizio (Math. Comput. Simul., 2011)

Stability-Preserving High-Order Methods for Multiterm fractional differential equations. - Roberto Garrappa (Int. J. Bifurc. Chaos, 2012)

Evaluation of generalized Mittag-Leffler functions on the real line. - Roberto Garrappa; Marina Popolizio (Adv. Comput. Math., 2013)

Sustaining stable dynamics of a fractional-order chaotic financial system by parameter switching. - Marius-F. Danca; Roberto Garrappa; Wallace Kit-Sang Tang; Guanrong Chen (Comput. Math. Appl., 2013)

A family of Adams exponential integrators for fractional linear systems. - Roberto Garrappa (Comput. Math. Appl., 2013)

On some generalizations of the implicit Euler method for discontinuous fractional differential equations. - Roberto Garrappa (Math. Comput. Simul., 2014)

Modeling and numerical analysis of fractional-order dynamics in electro-injectors pipes. - Roberto Garrappa; Paolo Lino; Guido Maione; Fabrizio Saponaro (CDC, 2015)

Suppressing chaos in discontinuous systems of fractional order by active control. - Marius-F. Danca; Roberto Garrappa (Appl. Math. Comput., 2015)

A pseudo-spectral scheme for the approximate solution of a time-fractional diffusion equation. - Shahrokh Esmaeili; Roberto Garrappa (Int. J. Comput. Math., 2015)

Solving the time-fractional Schrödinger equation by Krylov projection methods. - Roberto Garrappa; Igor Moret; Marina Popolizio (J. Comput. Phys., 2015)

On complete monotonicity of the Prabhakar function and non-Debye relaxation in dielectrics. - Francesco Mainardi; Roberto Garrappa (J. Comput. Phys., 2015)

Trapezoidal methods for fractional differential equations: Theoretical and computational aspects. - Roberto Garrappa (Math. Comput. Simul., 2015)

Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions. - Roberto Garrappa (SIAM J. Numer. Anal., 2015)

Grünwald-Letnikov operators for fractional relaxation in Havriliak-Negami models. - Roberto Garrappa (Commun. Nonlinear Sci. Numer. Simul., 2016)

SDS2014 Guest Editorial. - Nicoletta Del Buono; Roberto Garrappa; Giulia Spaletta (Math. Comput. Simul., 2016)

On the time-fractional Schrödinger equation: Theoretical analysis and numerical solution by matrix Mittag-Leffler functions. - Roberto Garrappa; Igor Moret; Marina Popolizio (Comput. Math. Appl., 2017)

The Prabhakar or three parameter Mittag-Leffler function: Theory and application. - Roberto Garra; Roberto Garrappa (Commun. Nonlinear Sci. Numer. Simul., 2018)

Computing the Matrix Mittag-Leffler Function with Applications to Fractional Calculus. - Roberto Garrappa; Marina Popolizio (J. Sci. Comput., 2018)

Corrigendum to "Neglecting nonlocality leads to unreliable numerical methods for fractional differential equations" [Commun. Nonlinear Sci. Numer. Simulat. 70 (2019) 302-306]. - Roberto Garrappa (Commun. Nonlinear Sci. Numer. Simul., 2019)

Neglecting nonlocality leads to unreliable numerical methods for fractional differential equations. - Roberto Garrappa (Commun. Nonlinear Sci. Numer. Simul., 2019)

On initial conditions for fractional delay differential equations. - Roberto Garrappa; Eva Kaslik (Commun. Nonlinear Sci. Numer. Simul., 2020)

Stability of fractional-order systems with Prabhakar derivatives. - Roberto Garrappa; Eva Kaslik (CoRR, 2020)

Variable-order fractional calculus: A change of perspective. - Roberto Garrappa; Andrea Giusti; Francesco Mainardi (Commun. Nonlinear Sci. Numer. Simul., 2021)

An analysis of solutions to fractional neutral differential equations with delay. - Hoang The Tuan; Ha Duc Thai; Roberto Garrappa (Commun. Nonlinear Sci. Numer. Simul., 2021)

A computationally efficient strategy for time-fractional diffusion-reaction equations. - Roberto Garrappa; Marina Popolizio (Comput. Math. Appl., 2022)

Neuroadaptive Optimal Fixed-Time Synchronization and its Circuit Realization for Unidirectionally Coupled FO Self-Sustained Electromechanical Seismograph Systems. - Shaohua Luo; Yongduan Song; Frank L. Lewis; Roberto Garrappa (IEEE Trans. Cybern., 2023)

Dynamic Analysis and Fuzzy Fixed-Time Optimal Synchronization Control of Unidirectionally Coupled FO Permanent Magnet Synchronous Generator System. - Shaohua Luo; Yongduan Song; Frank L. Lewis; Roberto Garrappa; Shaobo Li 001 (IEEE Trans. Fuzzy Syst., 2023)

A Computational Approach to Exponential-Type Variable-Order Fractional Differential Equations. - Roberto Garrappa; Andrea Giusti (J. Sci. Comput., 2023)