The New Exact and Approximate Solution for the Nonlinear Fractional Diffusive Predator-Prey system Arising in Mathematical Biology

Abstract

In this article two methods, q-Homotopy analysis Method (q-HAM) and Sine-Gordon expansionmethod for solving Fractional Diffusive Predator-Prey system are proposed. The fractional derivativeis considered in the conformable sense. The solutions obtained using the suggested methods are invery excellent agreement with the already existing ones and show that this approach can be solved theproblem effectively.