On the numerical solution of a fractional population growth model

B. Hicdurmaz, E. Can

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. 

Tbilisi Mathematical Journal, Vol. 10(1) (2017), pp. 269-278