On Nonlinear Conformable Fractional Order Dynamical System via Differential Transform Method

This article studies a nonlinear fractional order Lotka-Volterra prey-predator type dynamical system. For the proposed study, we consider model under conformable derivative (CFOD). We investigate mentioned system for existence and uniqueness of at least one solution. Indeed, Schauder Banach fixed point theorems are utilized to prove our claim. Further, an algorithm approximate analytical solution problem has been established. In this regard, differential transform (CFDT) technique is used compute required results in form series. Using Matlab-16, simulate series illustrate graphically. Finally, comparison that obtained Caputo via perturbation method given.