This article mainly explores and applies a modified form of the analytical method, namely the homotopy analysis transform method (HATM) for solving time-fractional Cauchy reaction-diffusion equations (TFCRDEs). Then mainly ...

In this paper, the residual power series method (RPSM) is effectively applied to find the exact solutions of fractional-order time dependent Schrodinger equations. The competency of the method is examined by applying it ...

In this paper, an analytical method based on the generalized Taylors series formula together with residual error function, namely residual power series method (RPSM), is proposed for finding the numerical solution of the ...