مصطفی اسلامی

In this article two methods, q-Homotopy analysis Method (q-HAM) andSine-Gordon expansion method are proposed for solving fractional Diffusive Predator-Prey system. The fractional derivative is considered in the conformable sense. Theobtained solutions using the suggested methods are in good agreement with the exist-ing ones and show that these approaches can be used for solving various conformabletime fractional partial differential equations arising in different branches of science.