Stamova, IvankaStamov, Gani2021-12-232021-12-232021-12-09Fractal and Fractional 5 (4): 268 (2021)https://hdl.handle.net/20.500.12588/781This paper investigates a class of fractional-order delayed impulsive gene regulatory networks (GRNs). The proposed model is an extension of some existing integer-order GRNs using fractional derivatives of Caputo type. The existence and uniqueness of an almost periodic state of the model are investigated and new criteria are established by the Lyapunov functions approach. The effects of time-varying delays and impulsive perturbations at fixed times on the almost periodicity are considered. In addition, sufficient conditions for the global Mittag–Leffler stability of the almost periodic solutions are proposed. To justify our findings a numerical example is also presented.Attribution 4.0 United Stateshttps://creativecommons.org/licenses/by/4.0/gene regulatory networksfractional-order derivativestime-varying delaysimpulsesalmost periodicityMittag–Leffler stabilityLyapunov methodArticle2021-12-23