Numerical approximations and Pade approximants for a fractional population growth model

摘要

This paper presents an efficient numerical algorithm for approximate solutions of a fractional population growth model in a closed system. The time-fractional derivative is considered in the Caputo sense. The algorithm is based on Adomian's decomposition approach and the solutions are calculated in the form of a convergent series with easily computable components. Then the Pade approximants are effectively used in the analysis to capture the essential behavior of the population u(t) of identical individuals.