Note on a Picard-like Method for Caputo Fuzzy Fractional Differential Equations

Authors

Stefania Tomasiello, Consorzio di Ricerca Sistemi ad Agenti, Dipartimento di Ingegneria dell’Informazione e Elettrica, Matematica Applicata, Universita` degli Studi di Salerno, Via Giovanni Paolo II 132, 84084 Fisciano, Salerno, ItalyFollow
Jorge E. Macıas-Dıaz, Departamento de Matema´ticas y F´ısica, Universidad Auto´noma de Aguascalientes, Avenida Universidad 940, Ciudad Universitaria, Aguascalientes, Ags. 20131, MexicoFollow

Author Country (or Countries)

Italy

Abstract

A Picard-like approach which has been used to solve a class of Volterra integro-differential equations, is extended in this manuscript to solve fuzzy fractional differential equations. Such technique uses quadrature rules and Picard’s iterations in the fuzzy context. In spite of this, it is conceived to become a non-recursive scheme, in terms of operational matrices, in the linear regime. Some properties of the method are thoroughly discussed, and some numerical examples are provided in order to illustrate the effectiveness of the approach.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110134

Recommended Citation

Tomasiello, Stefania and E. Macıas-Dıaz, Jorge (2017) "Note on a Picard-like Method for Caputo Fuzzy Fractional Differential Equations," Applied Mathematics & Information Sciences: Vol. 11: Iss. 1, Article 34.
DOI: http://dx.doi.org/10.18576/amis/110134
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss1/34