Оригинал (Original)
Автори: Стамов, Г. Т., Стамов, Т. Г.
Заглавие: Almost periodic dynamics in a new class of impulsive reaction–diffusion neural networks with fractional-like derivatives
Ключови думи: reaction-diffusion neural networks

Абстракт: This paper introduces a new class of reaction–diffusion neural networks with impulses and recently defined fractional-like derivatives. Sufficient conditions for the existence-uniqueness of almost periodic solutions are proposed by constructing suitable Lyapunov-like functions. Our results are new and contribute to the development of the knowledge on impulsive fractional-like evolution models. Finally, as an example a fractional-like generalization of a reaction-diffusion model in epidemiology that simulates the hepatitis B virus (HBV) infection with spatial dependence is considered.

Библиография

    Издание

    Chaos, Solitons & Fractals, том 143, стр. стр. 110647, 2021, Обединеното кралство, Elsevier
    		Autors: Stamov, G. T., Stamov, T. G.
    Title: Almost periodic dynamics in a new class of impulsive reaction–diffusion neural networks with fractional-like derivatives
    Keywords: reaction-diffusion neural networks

    Abstract: This paper introduces a new class of reaction–diffusion neural networks with impulses and recently defined fractional-like derivatives. Sufficient conditions for the existence-uniqueness of almost periodic solutions are proposed by constructing suitable Lyapunov-like functions. Our results are new and contribute to the development of the knowledge on impulsive fractional-like evolution models. Finally, as an example a fractional-like generalization of a reaction-diffusion model in epidemiology that simulates the hepatitis B virus (HBV) infection with spatial dependence is considered.

    References

      Issue

      Chaos, Solitons & Fractals, vol. 143, pp. 110647, 2021, United Kingdom, Elsevier

      Цитирания (Citation/s):
      1. On the existence of almost periodic solutions of impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms - 2021 - в издания, индексирани в Scopus или Web of Science
      2. On the almost periodicity in discontinuous impulsive gene regulatory networks - 2021 - в издания, индексирани в Scopus или Web of Science
      3. Lyapunov Approach for Almost Periodicity in Impulsive Gene Regulatory Networks of Fractional Order with Time-Varying Delays - 2021 - в издания, индексирани в Scopus или Web of Science
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      12. Synchronization of fractional-order reaction–diffusion neural networks with Markov parameter jumping: Asynchronous boundary quantization control - 2023 - в издания, индексирани в Scopus или Web of Science
      13. Stabilization of reaction–diffusion fractional-order memristive neural networks - 2023 - в издания, индексирани в Scopus или Web of Science
      14. Tree-structured neural networks: Spatiotemporal dynamics and optimal control - 2023 - в издания, индексирани в Scopus или Web of Science

      Вид: пленарен доклад в международен форум, публикация в издание с импакт фактор, публикация в реферирано издание, индексирана в Scopus