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

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.