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Uncertain impulsive differential systems of fractional order: almost periodic solutions

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  • Gani Stamov
  • Ivanka Stamova

Abstract

In this paper, we investigate the existence and stability of almost periodic solutions of impulsive fractional-order differential systems with uncertain parameters. The impulses are realised at fixed moments of time. For the first time, we determine the impact of the uncertainties on the qualitative behaviour of such systems. The main criteria for the existence of almost periodic solutions are proved by employing the fractional Lyapunov method. The global perfect robust uniform-asymptotic stability of such solutions is also considered. We apply our results to uncertain impulsive neural network systems of fractional order.

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  • Gani Stamov & Ivanka Stamova, 2018. "Uncertain impulsive differential systems of fractional order: almost periodic solutions," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(3), pages 631-638, February.
    • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:3:p:631-638
    DOI: 10.1080/00207721.2017.1416428
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    Cited by:

    1. Jian Zhou & Yujiao Jiang & Athanasios A. Pantelous & Weiwen Dai, 2023. "A systematic review of uncertainty theory with the use of scientometrical method," Fuzzy Optimization and Decision Making, Springer, vol. 22(3), pages 463-518, September.
    2. Gani Stamov & Ivanka Stamova, 2021. "Impulsive Fractional Differential Inclusions and Almost Periodic Waves," Mathematics, MDPI, vol. 9(12), pages 1-15, June.

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