A new analytical solutions for systems of nonlinear time-fractional partial differential equations using the Khalouta-Daftardar-Jafari method

In this paper, we investigate the analytical solutions for systems of nonlinear time-fractional partial differential equations by using Khalouta-Daftardar-Jafari method (KHDJM). The fractional derivatives are described in Caputo sense. We discuss the method in general and provide examples for the illustration purpose. Also we provide some results for the convergence of Khalouta-Daftardar-Jafari method. The results in this work show that the proposed method is an effective tool for the solutions of systems of nonlinear time-fractional partial differential equations.