Analysis of food chain mathematical model under fractal fractional Caputo derivative.

In this article, the dynamical behavior of a complex food chain model under a fractal fractional Caputo (FFC) derivative is investigated. The dynamical population of the proposed model is categorized as prey populations, intermediate predators, and top predators. The top predators are subdivided into mature predators and immature predators.

Investigation of a time-fractional COVID-19 mathematical model with singular kernel.

We investigate the fractional dynamics of a coronavirus mathematical model under a Caputo derivative. The Laplace-Adomian decomposition and Homotopy perturbation techniques are applied to attain the approximate series solutions of the considered system. The existence and uniqueness solution of the system are presented by using the Banach fixed-point theorem.