Analytical Study of the Complexities in a Three Species Food Web Model with Modified Caputo–Fabrizio Operator

This article presents the analytical study of three species fractional food web model in framework Modified Caputo–Fabrizio operator. With help fixed point theory, existence and uniqueness results are investigated for order model. To obtain approximate solution suggested model, well-known Laplace–Adomian decomposition method is used. The solutions validated through simulations with a variety orders initial values, where complex nature system can be observed. technique used here easily to range problems different branches science. From figures, it observed that, at integer higher order, there number oscillations behaves chaotically, while, lower orders, oscillation amplitudes decrease, resulting faster converging towards equilibrium point. According results, fractional-order derivative may future dynamics scenarios.