This research introduces a model of a delayed reaction–diffusion fractional neural network with time-varying delays. The Mittag–Leffler-type stability of the solutions is investigated, and new sufficient conditions are established by the use of the fractional Lyapunov method. Mittag–Leffler-type synchronization criteria are also derived. Three illustrative examples are established to exhibit the proposed sufficient conditions.
Delayed Reaction–Diffusion Cellular Neural Networks of Fractional Order: Mittag–Leffler Stability and Synchronization
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received June 22, 2017; final manuscript received October 19, 2017; published online November 17, 2017. Assoc. Editor: Dumitru Baleanu.
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Stamova, I. M., and Simeonov, S. (November 17, 2017). "Delayed Reaction–Diffusion Cellular Neural Networks of Fractional Order: Mittag–Leffler Stability and Synchronization." ASME. J. Comput. Nonlinear Dynam. January 2018; 13(1): 011015. https://doi.org/10.1115/1.4038290
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