Analytical solutions of fractional population diffusion model: Residual power series

Abstract

We introduce a novel approach to obtain an approximate solution to time-fractional biological population diffusion equation. A very recent technique based on the generalized Taylor series called â€Residual Power Series (RPS)†is extended to handle this (2+1)-dimensional model. A detailed description of the method is given and the results thus obtained reveal that RPS is a power and efficient method for exploring nonlinear diffusive fractional models.