Analytical solution of one dimensional time fractional parabolic beam equation by using fractional reduced differential transform method

Abstract

In this study Fractional Reduced Differential Transform Method (FRDTM) is presented for solving one dimensional parabolic beam equation. FRDTM is an effective tool to solve partial differential equations analytically. This method provides the solution in the form of a convergent series with easily calculable terms. The efficacy and accuracy of FRDTM is demonstrated by examples, which indicate that the presented method is very effective, simple and easy to implement. The plotted graphs illustrate the behavior of the solution for different values of time fractional order .