Efficient computation of the Wright function and its applications to fractional diffusion-wave equations

Lidia Aceto, Fabio Durastante

Risultato della ricerca: Contributo su rivistaArticolo in rivistapeer review

Abstract

In this article, we deal with the efficient computation of the Wright function in the cases of interest for the expression of solutions of some fractional differential equations. The proposed algorithm is based on the inversion of the Laplace transform of a particular expression of the Wright function for which we discuss in detail the error analysis. We also present a code package that implements the algorithm proposed here in different programming languages. The analysis and implementation are accompanied by an extensive set of numerical experiments that validate both the theoretical estimates of the error and the applicability of the proposed method for representing the solutions of fractional differential equations.

Lingua originaleInglese
pagine (da-a)2181-2196
Numero di pagine16
RivistaESAIM: Mathematical Modelling and Numerical Analysis
Volume56
Numero di pubblicazione6
DOI
Stato di pubblicazionePubblicato - 1 nov 2022

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