Solution of Non-linear Fractional Burger's Type Equations Using The Laplace Transform Decomposition Method

Abstract

Our goal in this paper is to use combined Laplace transform (CLT) and Adomian decomposition method (ADM) (that will be explained in section 3), to study approximate solutions for non-linear time-fractional Burger's equation, fractional Burger's Kdv equation and the fractional modied Burger's equation for the Caputo and Conformable derivatives. Comparison between the two solutions and the exact solution is made. Here we report that the Laplace transform decomposition method (LTDM) proved to be efficient and be used to obtain new analytical solutions of nonlinear fractional dierential equations (FDEs).