Solution of biological population by fractional generalized homotopy analysis method

This paper aims to solve the Biological Population model problem using a hybrid method called fractional generalized homotopy analysis method (FGHAM). The fractional derivatives are described by Caputo?s sense. The method introduces a significant improvement in this field over existing techniques. Results obtained using the scheme presented here agree well with the analytical solutions and the numerical results presented in [1]. The convergence region of the Biological Population model solutions are clearly identified using form series solutions are produced using FGHAM. However, the fundamental solutions of these equations still exhibit useful scaling properties that make them attractive for applications.