Stamov, Gani; Stamova, Ivanka Second method of Lyapunov and almost periodic solutions for impulsive differential systems of fractional order. (English) Zbl 1327.35377 IMA J. Appl. Math. 80, No. 5, 1619-1633 (2015). 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. Cited in 5 Documents 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 Keywords:almost periodic solutions; impulsive fractional differential systems; comparison principle; Lyapunov method PDFBibTeX XMLCite \textit{G. Stamov} and \textit{I. Stamova}, IMA J. Appl. Math. 80, No. 5, 1619--1633 (2015; Zbl 1327.35377) Full Text: DOI