Homotopy perturbation Laplace transform solution of fractional non-linear reaction diffusion system of Lotka-Volterra type differential equation

Abstract

This work investigates the fractional non linear reaction diffusion (FNRD) system of Lotka-Volterra type. The system of equations together with the boundary conditions are solved by Homotopy perturbation transform method (HPTM). The series solutions are obtained for the two cases (homogeneous and non-homogeneous) of FNRD system. The effect of fractional parameter on the mass concentration of two species are shown and discussed with the help of 3D graphs.