Abstract
This present paper investigates essentially combination synchronization of different dimensions fractional-order non-autonomous chaotic systems using a scaling matrix. Combination synchronization of fractional-order autonomous chaotic systems has previously been considered, but for the non-autonomous chaotic systems, it’s the primary of its kind. Based on the Gronwall–Bellman’s inequality, Laplace transforms, Mittag–Leffler functions, scaling matrix and non-linear control, combination synchronization of different dimensions fractional-order non-autonomous chaotic systems is investigated. In this method, we achieve combination synchronization particularly between almost all different dimensions fractional-order non-autonomous chaotic systems. The foremost important point of combination synchronization of fractional-order non auto-nomous chaotic systems is to create more prominent security in secure communication. The corresponding theoretical results are simulated according to the Adams–Bashforth–Moulton method to verify the feasibility and effectiveness of the proposed combination synchronization strategy, the results are illustrated graphically for various particular cases.
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