Fractional Reduced Differential Transform Method for Numerical Computation of a System of Linear and Nonlinear Fractional Partial Differential Equations

Abstract

This paper presents an alternative numerical computation of a system of linear and nonlinear fractional partial differential equations obtained by employing fractional reduced differential transform method (FRDTM), where Caputo type fractional derivative is taken. The effectiveness and convergence of FRDTM is tested by means of four problems, which indicate the validity and great potential of the FRDTM for solving system of fractional partial differential equations.