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

Thitiporn Linitda, Kulandhaivel Karthikeyan (), Palanisamy Raja Sekar and Thanin Sitthiwirattham ()
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Thitiporn Linitda: Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, Thailand
Kulandhaivel Karthikeyan: Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore 641407, Tamil Nadu, India
Palanisamy Raja Sekar: Department of Mathematics, K.S.R. College of Engineering, Tiruchengode 637215, Tamilnadu, India
Thanin Sitthiwirattham: Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, Thailand

Mathematics, 2023, vol. 11, issue 5, 1-16

Abstract: 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.

Keywords: boundary condition; fractional calculus; impulsive condition; integro-differential system; controllability; fixed point theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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