In this paper, a fractional model for population growth of species within a closed system is considered. A numerical method which is based on the implementation of the fractional Legendre functions with a pseudospectral approach is applied. The aim is to show the effectiveness of fractional Legendre functions for the numerical simulation of fractional models.
"On the numerical solution of a fractional population growth model." Tbilisi Math. J. 10 (1) 269 - 278, Jan 2017. https://doi.org/10.1515/tmj-2017-0016