Solving Fractional Damped Burgers' Equation Approximately by Using the Sumudu Transform (ST) Method

Abstract

In this work, the fractional damped Burger's equation (FDBE) formula Dtα+uux-uxx*δu = 0, Xϵ R >0 ,λ >0 is solved by Sumudu transform (ST) method . The purpose of the method is based on the application of ST method to nonlinear fractional partial differential equations (NLFPDE). Same initial conditions( IC) are selected to clarify this method. Also, the dependability of this method is given by several examples. In other words, some approximate solutions were gotten successfully. Finally, the curve 3D program is used for plotting the figures.