Approximate Methods For Solving Fractional Differential Equations
Mohammed Abdullah Hussein
Abstract
In this paper, exact and approximate solutions of the nonlinear Burgers equation, heat-like equationand coupled nonlinear fractional Burger’s equations with Caputo-Fabrizio fractional operator byusing Daftardar-Jafari method (DJM) and Sumudu decomposition method (SDM) are presented anddiscussed. The solutions of our equations are calculated in the form of rabidly convergent serieswith easily computable components. Three illustrative applications are given to demonstrate theeffectiveness and the leverage of the present methods. Graphical results are utilized and discussedquantitatively to illustrate the solution. The results reveal that the methods are very effective andsimple in determination of solution of the fractional partial differential equations.