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

Year 2019, Issue: 28, 33 - 43, 07.05.2019

Ali Kurt Mostafa Eslami Hadi Rezazadeh Orkun Tasbozan Ozan Özkan

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

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