Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions

Thitiporn Linitda,Kulandhaivel Karthikeyan, Palanisamy Raja Sekar,Thanin Sitthiwirattham

MATHEMATICS（2023）

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摘要

In this paper, we investigate the controllability of the system with non-local conditions. The existence of a mild solution is established. We obtain the results by using resolvent operators functions, the Hausdorff measure of non-compactness, and Monch's fixed point theorem. We also present an example, in order to elucidate one of the results discussed.

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关键词

boundary condition,fractional calculus,impulsive condition,integro-differential system,controllability,fixed point theorem

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