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Research Article | Open Access

Discussion on boundary controllability of nonlocal fractional neutral integrodifferential evolution systems

Yong-Ki Ma1, Kamalendra Kumar2, Rakesh Kumar3, Rohit Patel4, Anurag Shukla4, Velusamy Vijayakumar5( )
Department of Applied Mathematics, Kongju National University, Chungcheongnam-do 32588, Korea
Department of Mathematics, SRMS College of Engineering and Technology, Bareilly-243001, India
Department of Mathematics, Hindu College, Moradabad-244001, India
Department of Applied Science, Rajkiya Engineering College Kannauj, Kannauj-209732, India
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, Tamil Nadu, India
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Abstract

In the present work, we have established sufficient conditions for boundary controllability of nonlocal fractional neutral integrodifferential evolution systems with time-varying delays in Banach space. The outcomes are obtained by applying the fractional theory and Banach fixed point theorem. At last, we give an application for the validation of the theoretical results.

Keywords

integrodifferential systemBanach fixed point theoremnonlocal conditionboundary controllabilitytime varying delayssemigroup theory
CLC number: 34A08, 49J15, 34K35

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AIMS Mathematics
Volume 7 Issue 5,
May 2022
Pages 7642-7656
DOI: 10.3934/math.2022429

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Cite this article:
Ma Y-K, Kumar K, Kumar R, et al. Discussion on boundary controllability of nonlocal fractional neutral integrodifferential evolution systems. AIMS Mathematics, 2022, 7(5): 7642-7656. https://doi.org/10.3934/math.2022429

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Received: 30 November 2021
Revised: 04 February 2022
Accepted: 10 February 2022
Published: 15 May 2022
©2022 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)