A new hybrid of Khalouta transform and residual power series method for solving general nonlinear time-fractional partial differential equations with in homogeneous terms

The main purpose of this work is to propose a new hybrid method to obtain analytical approximate solutions for general nonlinear time-fractional partial dierential equations with inhomogeneous terms.This method is called Khalouta residual power series method (KHRPSM) which is based on a combination of Khalouta transform method and residual power series method.The main advantage of KHRPSM is that it does not require making any material assumptions about the problem and requires minimum computations to solve these types of equations.The analytical approximate solutions of three types of time-fractional nonlinear partial dierential equations are presented by the proposed method.The obtained results are compared with the exact solutions.Through this comparison, we conclude that the proposed method is very eective and easy to apply to dierent types of time-fractional nonlinear partial dierential equations.