Approximate analytical solutions of systems of fractional partial differential equations

Abstract

In this article, a new technique which is called Fractional Complex Differential Transformation Method (FCDTM) is proposed for solving systems of fractional partial differential equations (FPDEs). This method is mainly combination of two methods which are Fractional Complex Transform (FCT) and Differential Transform Method (DTM). The efficiency of the new approach is illustrated by applying it successfully to systems of fractional partial differential equations. As a conclusion, the results reveal that the new approach is very effective and simple.