FDE-Testset: Comparing Matlab© Codes for Solving Fractional Differential Equations of Caputo Type

Luigi Brugnano; Gianmarco Gurioli; Felice Iavernaro; Mikk Vikerpuur

doi:10.3390/fractalfract9050312

Fractal and Fractional (May 2025)

FDE-Testset: Comparing Matlab© Codes for Solving Fractional Differential Equations of Caputo Type

Luigi Brugnano,
Gianmarco Gurioli,
Felice Iavernaro,
Mikk Vikerpuur

Affiliations

Luigi Brugnano: Department of Mathematics and Informatics “U. Dini”, University of Firenze, 50134 Firenze, Italy
Gianmarco Gurioli: Department of Mathematics and Informatics “U. Dini”, University of Firenze, 50134 Firenze, Italy
Felice Iavernaro: Department of Mathematics, University of Bari Aldo Moro, 70125 Bari, Italy
Mikk Vikerpuur: Institute of Mathematics and Statistics, University of Tartu, 50090 Tartu, Estonia

DOI: https://doi.org/10.3390/fractalfract9050312
Journal volume & issue: Vol. 9, no. 5
p. 312

Abstract

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Fractional differential equations (FDEs) have attracted more and more attention in the last years; among them, equations of Caputo type allow for “more natural” initial conditions when the order is greater than one. As a result, many numerical methods have been devised and investigated for approximating their solution: the Matlab© codes of some of them are also available. The aim of this paper is a systematic comparison of such codes on a selected set of test problems. The obtained results are available on the web.

Published in Fractal and Fractional

ISSN: 2504-3110 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Physics: Heat: Thermodynamics; Science: Mathematics: Analysis
Website: http://www.mdpi.com/journal/fractalfract

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