Two dimensional fourth order time fractional parabolic equations and its analytical solutions by Fractional Reduced Differential Transform Method

Abstract

In this manuscript, the solution of two dimensional fourth order time-fractional non- homogenous parabolic equations is solved by using Fractional Reduced Differential Transform Method. The efficiency of FRDTM is confirmed by considering two test problems of the two dimensional nonhomogenous time fractional parabolic equations. The fractional derivative is taken in Caputo sense. Figures were used to compare approximate and exact solution. FRDTM is a very efficient, effective and powerful mathematical tool which provides exact or very close approximate solutions for a wide range of real-world problems arising in engineering and science