On the solution of time-fractional coupled system of partial differential equations

Abstract

In this research, a newly proposed Laplace Pade reduced differential transform method (LPRDTM) has been applied for solving a coupled system of partial differential equations with time-fractional derivatives. Here the fractional derivatives are defined in the Caputo sense. This is a hybrid technique which is the coupling of laplace transform, Pade approximant, and the reduced differential transform method. Two examples are solved using the present method, and the obtained results are compared with the analytical solutions in terms of the tables, which recommend that LPRDTM provides exact solutions with a few iterations. The main benefit of applying this method is that it does not require any assumption, perturbation, and discretization for solving the governing fractional PDEs. Also, the computation time of this method is less compared to other techniques.