Anti-Synchronization of Chaotic Systems Using a Fractional Conformable Derivative With Power Law

Abstract

In this paper, we propose a new numerical method based on two-step Lagrange polynomial interpolation to get numerical simulations and adaptive anti-synchronization schemes for two fractional conformable attractors of variable order. It was considered the fractional conformable derivative in Liouville-Caputo sense. The novel numerical method was applied to derive new results from the anti-synchronization of the identical uncertain Wang-Sun attractors and three-dimensional chaotic system using fractional conformable sliding mode control. Numerical examples show the effectiveness of the adaptive fractional conformable anti-synchronization schemes for the uncertain chaotic systems considered in this paper.