New numerical techniques for solving fractional partial differential equations in conformable sense

Abstract

This study adresses two new numerical techniques for solving some interesting one-dimensional time-fractional partial differential equations (PDEs). We have introduced modified homotopy perturbation method in conformable sense (MHPMC) and Adomian decomposition method in conformable sense (ADMC) which improve the solutions for linear-nonlinear fractional PDEs. In order to show the efficiencies of these methods, we have compared the numerical and exact solutions of three illustrative problems. Also, we have declared that the proposed models are very efficient and powerful techniques in finding approximate-analytical solutions for the PDEs of fractional order in conformable sense.