Fractional Elzaki Variational Iteration Method for Solving Nonlinear Biological Population Model

The approximate solutions for the two dimensional nonlinear PDEs with Liouville-Caputo fractional derivative are determined and presented in this paper. Comparative numerical simulations obtained from alternative models are introduced in order to demonstrate the effectiveness and precision of the proposed techniques. Various source terms are taken into account in the fractional nonlinear differential equations. It is shown that the classical behaviors are restored in case that the fractional order \(\alpha \) is equal to 1.