A numerical method to solve higher-order fractional differential equations
Numerical Analysis
2015-12-16 v1
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.
Cite
@article{arxiv.1512.04579,
title = {A numerical method to solve higher-order fractional differential equations},
author = {Ricardo Almeida and Nuno R. O. Bastos},
journal= {arXiv preprint arXiv:1512.04579},
year = {2015}
}
Comments
This is a preprint of a paper whose final and definite form will be published in Mediterr. J. Math