Explicit and Approximate Solutions for the Conformable-Caputo Time-Fractional Diffusive Predator–Prey Model

Abstract

The aim of this work is twofold. First, we seek functional explicit solutions to the conformable-time fractional predator–prey model by adapting the extended Kudryashov method. Second, we find fractional power series solution to the same model when the fractional derivative is of Caputo type. Graphical analysis will be presented to serve two features; to recognize the physical shapes and the propagations of the predator–prey densities, and to observe the impact of the fractional derivatives acting in the model.