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

Authors : Ali Kurt, Mostafa Eslami, Hadi Rezazadeh, Orkun Tasbozan, Ozan Özkan

Pages : 33-43

View : 20 | Download : 11

Publication Date : 2019-05-07

Article Type : Research

Abstract :In this article two methods, q-Homotopy analysis Method (q-HAM) and Sine-Gordon expansion method for solving Fractional Diffusive Predator-Prey system are proposed. The fractional derivative is considered in the conformable sense. The solutions obtained using the suggested methods are in very excellent agreement with the already existing ones and show that this approach can be solved the problem effectively.
Keywords : Sine-Gordon Expansion Method, Fractional Diffusive Predator-Prey system, q-Homotopy Analysis Method, Conformable Fractional Derivative