A numerical method to solve higher-order fractional differential equations

Abstract

In this paper, we present a new numerical method to solve fractional differential equations. Given a fractional derivative of arbitrary real order, we present an approximation formula for the fractional operator that involves integer-order derivatives only. With this, we can rewrite FDEs in terms of a classical one and then apply any known technique. With some examples, we show the accuracy of the method.

This is a preprint of a paper whose final and definite form will be published in Mediterr. J. Math