Approximate solutions of a generalized Hirota-Satsuma coupled KdV and a coupled mKdV systems with time fractional derivatives

In the present study, a relatively new approach which is the combination of fractional complex transform and modified version of Adomian decomposition method also known as new iterative method is employed to get approximate solutions of time fractional generalized Hirota-Satsuma coupled KdV system and a coupled mKdV system. To find exact and approximate solutions of diverse forms of nonlinear fractional partial differential equations and systems present technique can be used as an alternative. Only a few terms are required to find an approximate solution which is compared with the exact solution to demonstrate the efficiency and accuracy of the method.