Asymptotic synchronization of fractional-order non-identical complex dynamical networks with parameter uncertainties

This article specifically deals with the asymptotic synchronization of non-identical complex dynamic fractional-order networks with uncertainty. Initially, by using the Riemann–Liouville fractional derivative, we developed a model for the general non-identical complex network, and based on the properties of fractional-order calculus and the direct Lyapunov method in fractional order, we proposed that drive and response systems of non-identical complex networks ensuring asymptotic synchronization by using neoteric control. Second, taking into account the uncertainties of non-identical complex networks in state matrices and evaluating their requirements for asymptotic synchronization. In addition, to explain the effectiveness of the proposed approach, two numerical simulations are given.