Abstract 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.
FDE-Testset: Comparing Matlab© Codes for Solving Fractional Differential Equations of Caputo Type / Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro, Mikk Vikerpuur. - In: FRACTAL AND FRACTIONAL. - ISSN 2504-3110. - ELETTRONICO. - 9(5):(2025), pp. 312.1-312.28. [10.3390/fractalfract9050312]
FDE-Testset: Comparing Matlab© Codes for Solving Fractional Differential Equations of Caputo Type
Luigi Brugnano
;Gianmarco Gurioli;Mikk Vikerpuur
2025
Abstract
Abstract 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.
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