Follow
Roberto Garrappa
Roberto Garrappa
Department of Mathematics, University of Bari, Italy
Verified email at uniba.it - Homepage
Title
Cited by
Cited by
Year
Numerical solution of fractional differential equations: A survey and a software tutorial
R Garrappa
Mathematics 6 (2), 16, 2018
3882018
Numerical evaluation of two and three parameter Mittag-Leffler functions
R Garrappa
SIAM Journal on Numerical Analysis 53 (3), 1350–1369, 2015
2592015
On linear stability of predictor–corrector algorithms for fractional differential equations
R Garrappa
International Journal of Computer Mathematics 87 (10), 2281-2290, 2010
2312010
The Prabhakar or three parameter Mittag–Leffler function: Theory and application
R Garra, R Garrappa
Communications in Nonlinear Science and Numerical Simulation 56, 314-329, 2018
2112018
Trapezoidal methods for fractional differential equations: Theoretical and computational aspects
R Garrappa
Mathematics and Computers in Simulation 110, 96-112, 2015
2062015
Models of dielectric relaxation based on completely monotone functions
R Garrappa, F Mainardi, M Guido
Fractional Calculus and Applied Analysis 19 (5), 1105-1160, 2016
1652016
A practical guide to Prabhakar fractional calculus
A Giusti, I Colombaro, R Garra, R Garrappa, F Polito, M Popolizio, ...
Fractional Calculus and Applied Analysis 23 (1), 9-54, 2020
1512020
Explicit methods for fractional differential equations and their stability properties
L Galeone, R Garrappa
Journal of Computational and Applied Mathematics 228 (2), 548-560, 2009
1262009
Computing the matrix Mittag-Leffler function with applications to fractional calculus
R Garrappa, M Popolizio
Journal of Scientific Computing 77 (1), 129-153, 2018
1122018
Why fractional derivatives with nonsingular kernels should not be used
K Diethelm, R Garrappa, A Giusti, M Stynes
Fractional Calculus and Applied Analysis 23 (3), 610-634, 2020
1102020
Evaluation of fractional integrals and derivatives of elementary functions: Overview and tutorial
R Garrappa, E Kaslik, M Popolizio
Mathematics 7 (5), 407, 2019
1102019
On multistep methods for differential equations of fractional order
L Galeone, R Garrappa
Mediterranean Journal of Mathematics 3 (3), 565-580, 2006
972006
On complete monotonicity of the Prabhakar function and non-Debye relaxation in dielectrics
F Mainardi, R Garrappa
Journal of Computational Physics 293, 70-80, 2015
952015
On some explicit Adams multistep methods for fractional differential equations
R Garrappa
Journal of computational and applied mathematics 229 (2), 392-399, 2009
902009
Evaluation of generalized Mittag–Leffler functions on the real line
R Garrappa, M Popolizio
Advances in Computational Mathematics 39, 205-225, 2013
862013
Fractional Adams-Moulton methods
L Galeone, R Garrappa
Mathematics and Computers in Simulation 79 (4), 1358-1367, 2008
812008
On the use of matrix functions for fractional partial differential equations
R Garrappa, M Popolizio
Mathematics and Computers in Simulation 81 (5), 1045-1056, 2011
782011
Generalized exponential time differencing methods for fractional order problems
R Garrappa, M Popolizio
Computers & Mathematics with Applications 62 (3), 876-890, 2011
772011
Grünwald–Letnikov operators for fractional relaxation in Havriliak–Negami models
R Garrappa
Communications in Nonlinear Science and Numerical Simulation 38, 178-191, 2016
762016
On accurate product integration rules for linear fractional differential equations
R Garrappa, M Popolizio
Journal of Computational and Applied Mathematics 235 (5), 1085-1097, 2011
762011
The system can't perform the operation now. Try again later.
Articles 1–20