Impulsive Fractional Differential Inclusions and Almost Periodic Waves

Date

2021-06-18

Authors

Stamov, Gani
Stamova, Ivanka

Journal Title

Journal ISSN

Volume Title

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Abstract

In the present paper, the concept of almost periodic waves is introduced to discontinuous impulsive fractional inclusions involving Caputo fractional derivative. New results on the existence and uniqueness are established by using the theory of operator semigroups, Hausdorff measure of noncompactness, fixed point theorems and fractional calculus techniques. Applications to a class of fractional-order impulsive gene regulatory network (GRN) models are proposed to illustrate the results.

Description

Keywords

fractional differential inclusions, impulses, almost periodicity, fixed point, Hausdorff measure of noncompactness

Citation

Mathematics 9 (12): 1413 (2021)

Department

Mathematics