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Research Article | Open Access

A study on controllability for Hilfer fractional differential equations with impulsive delay conditions

Kulandhaivel Karthikeyan1, Palanisamy Raja Sekar2, Panjaiyan Karthikeyan3, Anoop Kumar4, Thongchai Botmart5, Wajaree Weera5( )
Department of Mathematics, Center for Research and Development, KPR Institute of Engineering and Technology, Coimbatore, Tamilnadu, India
Department of Mathematics, K.S.R College of Engineering, Tiruchengode, Namakkal, Tamilnadu, India
Department of Mathematics, Sri Vasavi College, Erode, Tamilnadu, India
Department of Mathematics and Statistics, School of Basic Sciences, Central University of Punjab, VPO-Ghudda, Bathinda, Punjab 151401, India
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
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Abstract

This article focuses on the controllability of a Hilfer fractional impulsive differential equation with indefinite delay. We analyze our major outcomes using fractional calculus, the measure of non-compactness and a fixed-point approach. Finally, an example is provided to show the theory.

Keywords

boundary conditionfractional calculusimplusive conditionintegro-differential systemcontrollabilityfixed-point theorem
CLC number: 93B05, 34K30, 34K40, 47H08, 47H10

References

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AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 4202-4219
DOI: 10.3934/math.2023209

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Cite this article:
Karthikeyan K, Sekar PR, Karthikeyan P, et al. A study on controllability for Hilfer fractional differential equations with impulsive delay conditions. AIMS Mathematics, 2023, 8(2): 4202-4219. https://doi.org/10.3934/math.2023209

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Received: 25 September 2022
Revised: 09 November 2022
Accepted: 13 November 2022
Published: 15 February 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)