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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.

This article specically deals with the asymptotic synchronization of non-identical complex dynamic fractional order networks with uncertainty. Initially, by using the Riemann-Liouville 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 system if nonidentical complex networks ensuring asymp-totic synchronization by using neoteric control. Second, taking into account the uncertainties of non-identical complex networks in state matrices and evaluating theirrequirements forasymptotic synchronization. In addition, to explain the eectiveness of the proposed approach, two numerical simulations are given.

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