Short tutorial:
Solving fractional differential equations
by Matlab codes
Roberto Garrappa
Department of Mathematics
University of Bari - Italy
roberto.garrappa@uniba.it
June 30, 2014
1 Introduction
Fractional differential equations (FDEs) are becoming a very popular topic
and several real–life phenomena are described and modeled by means of
scalar or systems of FDEs.
Whilst most of the mathematical packages provide well designed and ro-
bust routines for solving ordinary differential equations, very few codes are
available for the numerical treatment of FDEs.
The aim of this short tutorial is to describe some Matlab codes recently
written for solving FDEs and provide some examples for their use.
2 The Matlab codes fde12.m and flmm.m
The Matlab code fde12.m and flmm.m are devised to numerically solve FDEs
and they are freely available on the file exchange service of Matlab central.
The code fde12.m implements the Predictor–Corrector method proposed by
Diethelm and Freed in [1]. This methods is a combination of some product
integration rules, usually known as fractional Adams–Bashforthm–Moulton
methods and its stability properties were studied in [3]. The code is available
in the file exchange service of Matlab central at
1