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Second method of Lyapunov and almost periodic solutions for impulsive differential systems of fractional order. (English) Zbl 1327.35377

Summary: In the paper, the problem of existence of almost periodic solutions to non-linear impulsive systems of Caputo fractional order is addressed. Sufficient conditions for stability of almost periodic solutions are also established. The investigations are carried out by using of a fractional comparison principle and the Lyapunov’s function method. We apply our results to an impulsive cellular neural network model of fractional order.

MSC:

35Q92 PDEs in connection with biology, chemistry and other natural sciences
35R11 Fractional partial differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics
68Q80 Cellular automata (computational aspects)
37B15 Dynamical aspects of cellular automata
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