Fractional-Order Impulsive Delayed Reaction-Diffusion Gene Regulatory Networks: Almost Periodic Solutions
Date
2023-05-03
Authors
Stamov, Trayan
Stamov, Gani
Stamova, Ivanka
Journal Title
Journal ISSN
Volume Title
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Abstract
The paper is oriented on the existence of almost periodic solutions of factional-order impulsive delayed reaction-diffusion gene regulatory networks. Caputo type fractional-order derivatives and impulsive disturbances at not fixed instants of time are considered. New almost periodic and perfect Mittag–Leffler stability criteria are proposed. Lyapunov's like impulsive functions, the properties of the fractional derivatives and comparison principle are the main tools in the investigation. Illustrative examples are also presented to demonstrate the proposed criteria. Our results contribute to the development of qualitative the theory of fractional-order gene regulatory networks.
Description
Keywords
gene regulatory networks, fractional order, time delay, reaction-diffusion terms, variable impulses, almost periodicity
Citation
Fractal and Fractional 7 (5): 384 (2023)
Department
Mathematics