Stability and controllability results of ψ-Hilfer fractional integro-differential systems under the influence of impulses

Rajesh Dhayal and Quanxin Zhu

Chaos, Solitons & Fractals, 2023, vol. 168, issue C

Abstract: This paper is devoted to exploring a new class of ψ-Hilfer fractional integro-differential systems under the influence of impulses. Using semigroup theory, fixed-point technique, and fractional calculus, we analyzed the existence and uniqueness of mild solutions. Moreover, we proved the novel stability criteria for the considered system by using the Grönwall inequality. Further, we investigated the controllability results for the proposed system by using the new piecewise control function. Finally, the main results are validated with the aid of an example.

Keywords: ψ-Hilfer fractional system; Impulsive effects; Stability criteria; Controllability (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000061

DOI: 10.1016/j.chaos.2023.113105

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