Numerical computation of fractional Lotka-Volterra equation arising in biological systems

[摘要] In this paper, we present the homotopy analysis transform method (HATM) to solve fractional Lotka- Volterra equation, which describes the long term servival of species. The HATM solutions, denotes less error compare with their respective exact solution for alpha = 1. In addition to non-proposed techniques, HATMis valid for both small and large parameters, it also provides us with a simpleway to adjust and control the parameter hbar and auxiliary function H(t), which play effective role for convergence solutions of fractional differential-difference equations (FDDEs).

[关键词] Laplace transform;Homotopy analysis transform method;Fractional Lotka-Volterra equation;Fractional Volterra equation;hbar-curves