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

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 exam...

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Published in:Mathematics (Basel) 2023-03, Vol.11 (5), p.1071
Main Authors: Linitda, Thitiporn, Karthikeyan, Kulandhaivel, Sekar, Palanisamy Raja, Sitthiwirattham, Thanin
Format: Article
Language:English
Subjects:
Banach spaces
boundary condition
Control theory
Controllability
Differential equations
fixed point theorem
Fixed point theory
Fixed points (mathematics)
Fractional calculus
impulsive condition
integro-differential system
Mathematical research
Operators (mathematics)
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Karthikeyan, Kulandhaivel
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description 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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subjects Banach spaces
boundary condition
Control theory
Controllability
Differential equations
fixed point theorem
Fixed point theory
Fixed points (mathematics)
Fractional calculus
impulsive condition
integro-differential system
Mathematical research
Operators (mathematics)
title Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions
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