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Roberto Garrappa
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2020 – today
- 2023
- [j30]Roberto Garrappa, Andrea Giusti:
A Computational Approach to Exponential-Type Variable-Order Fractional Differential Equations. J. Sci. Comput. 96(3): 63 (2023) - [j29]Shaohua Luo, Yongduan Song, Frank L. Lewis, Roberto Garrappa:
Neuroadaptive Optimal Fixed-Time Synchronization and its Circuit Realization for Unidirectionally Coupled FO Self-Sustained Electromechanical Seismograph Systems. IEEE Trans. Cybern. 53(4): 2454-2466 (2023) - [j28]Shaohua Luo, Yongduan Song, Frank L. Lewis, Roberto Garrappa, Shaobo Li:
Dynamic Analysis and Fuzzy Fixed-Time Optimal Synchronization Control of Unidirectionally Coupled FO Permanent Magnet Synchronous Generator System. IEEE Trans. Fuzzy Syst. 31(5): 1742-1755 (2023) - [i4]Roberto Garrappa, Andrea Giusti:
A computational approach to exponential-type variable-order fractional differential equations. CoRR abs/2303.06653 (2023) - 2022
- [j27]Roberto Garrappa, Marina Popolizio:
A computationally efficient strategy for time-fractional diffusion-reaction equations. Comput. Math. Appl. 116: 181-193 (2022) - 2021
- [j26]Hoang The Tuan, Ha Duc Thai, Roberto Garrappa:
An analysis of solutions to fractional neutral differential equations with delay. Commun. Nonlinear Sci. Numer. Simul. 100: 105854 (2021) - [j25]Roberto Garrappa, Andrea Giusti, Francesco Mainardi:
Variable-order fractional calculus: A change of perspective. Commun. Nonlinear Sci. Numer. Simul. 102: 105904 (2021) - 2020
- [j24]Roberto Garrappa, Eva Kaslik:
On initial conditions for fractional delay differential equations. Commun. Nonlinear Sci. Numer. Simul. 90: 105359 (2020) - [i3]Roberto Garrappa, Eva Kaslik:
On initial conditions for fractional delay differential equations. CoRR abs/2006.04051 (2020) - [i2]Roberto Garrappa, Eva Kaslik:
Stability of fractional-order systems with Prabhakar derivatives. CoRR abs/2008.03751 (2020)
2010 – 2019
- 2019
- [j23]Roberto Garrappa:
Neglecting nonlocality leads to unreliable numerical methods for fractional differential equations. Commun. Nonlinear Sci. Numer. Simul. 70: 302-306 (2019) - [j22]Roberto Garrappa:
Corrigendum to "Neglecting nonlocality leads to unreliable numerical methods for fractional differential equations" [Commun. Nonlinear Sci. Numer. Simulat. 70 (2019) 302-306]. Commun. Nonlinear Sci. Numer. Simul. 76: 138-139 (2019) - [i1]Roberto Garrappa:
Trapezoidal methods for fractional differential equations: theoretical and computational aspects. CoRR abs/1912.09878 (2019) - 2018
- [j21]Roberto Garra, Roberto Garrappa:
The Prabhakar or three parameter Mittag-Leffler function: Theory and application. Commun. Nonlinear Sci. Numer. Simul. 56: 314-329 (2018) - [j20]Roberto Garrappa, Marina Popolizio:
Computing the Matrix Mittag-Leffler Function with Applications to Fractional Calculus. J. Sci. Comput. 77(1): 129-153 (2018) - 2017
- [j19]Roberto Garrappa, Igor Moret, Marina Popolizio:
On the time-fractional Schrödinger equation: Theoretical analysis and numerical solution by matrix Mittag-Leffler functions. Comput. Math. Appl. 74(5): 977-992 (2017) - 2016
- [j18]Roberto Garrappa:
Grünwald-Letnikov operators for fractional relaxation in Havriliak-Negami models. Commun. Nonlinear Sci. Numer. Simul. 38: 178-191 (2016) - [j17]Nicoletta Del Buono, Roberto Garrappa, Giulia Spaletta:
SDS2014 Guest Editorial. Math. Comput. Simul. 125: 1-2 (2016) - 2015
- [j16]Marius-F. Danca, Roberto Garrappa:
Suppressing chaos in discontinuous systems of fractional order by active control. Appl. Math. Comput. 257: 89-102 (2015) - [j15]Shahrokh Esmaeili, Roberto Garrappa:
A pseudo-spectral scheme for the approximate solution of a time-fractional diffusion equation. Int. J. Comput. Math. 92(5): 980-994 (2015) - [j14]Francesco Mainardi, Roberto Garrappa:
On complete monotonicity of the Prabhakar function and non-Debye relaxation in dielectrics. J. Comput. Phys. 293: 70-80 (2015) - [j13]Roberto Garrappa, Igor Moret, Marina Popolizio:
Solving the time-fractional Schrödinger equation by Krylov projection methods. J. Comput. Phys. 293: 115-134 (2015) - [j12]Roberto Garrappa:
Trapezoidal methods for fractional differential equations: Theoretical and computational aspects. Math. Comput. Simul. 110: 96-112 (2015) - [j11]Roberto Garrappa:
Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions. SIAM J. Numer. Anal. 53(3): 1350-1369 (2015) - [c1]Roberto Garrappa, Paolo Lino, Guido Maione, Fabrizio Saponaro:
Modeling and numerical analysis of fractional-order dynamics in electro-injectors pipes. CDC 2015: 5984-5989 - 2014
- [j10]Roberto Garrappa:
On some generalizations of the implicit Euler method for discontinuous fractional differential equations. Math. Comput. Simul. 95: 213-228 (2014) - 2013
- [j9]Roberto Garrappa, Marina Popolizio:
Evaluation of generalized Mittag-Leffler functions on the real line. Adv. Comput. Math. 39(1): 205-225 (2013) - [j8]Marius-F. Danca, Roberto Garrappa, Wallace Kit-Sang Tang, Guanrong Chen:
Sustaining stable dynamics of a fractional-order chaotic financial system by parameter switching. Comput. Math. Appl. 66(5): 702-716 (2013) - [j7]Roberto Garrappa:
A family of Adams exponential integrators for fractional linear systems. Comput. Math. Appl. 66(5): 717-727 (2013) - 2012
- [j6]Roberto Garrappa:
Stability-Preserving High-Order Methods for Multiterm fractional differential equations. Int. J. Bifurc. Chaos 22(4) (2012) - 2011
- [j5]Roberto Garrappa, Marina Popolizio:
Generalized exponential time differencing methods for fractional order problems. Comput. Math. Appl. 62(3): 876-890 (2011) - [j4]Roberto Garrappa, Marina Popolizio:
On accurate product integration rules for linear fractional differential equations. J. Comput. Appl. Math. 235(5): 1085-1097 (2011) - [j3]Roberto Garrappa, Marina Popolizio:
On the use of matrix functions for fractional partial differential equations. Math. Comput. Simul. 81(5): 1045-1056 (2011) - 2010
- [j2]Roberto Garrappa:
On linear stability of predictor-corrector algorithms for fractional differential equations. Int. J. Comput. Math. 87(10): 2281-2290 (2010)
2000 – 2009
- 2008
- [j1]Luciano Galeone, Roberto Garrappa:
Fractional Adams-Moulton methods. Math. Comput. Simul. 79(4): 1358-1367 (2008)
Coauthor Index
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