Almost periodic dynamics in a new class of impulsive reaction–diffusion neural networks with fractional-like derivatives

Gani Stamov, Ivanka Stamova, Anatoliy Martynyuk and Trayan Stamov

Chaos, Solitons & Fractals, 2021, vol. 143, issue C

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.

Keywords: Almost periodicity; Fractional-like derivatives; HBV infection; Impulses; Reaction-diffusion neural networks (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920310389

DOI: 10.1016/j.chaos.2020.110647

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