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Research Article | Open Access

An investigation on boundary controllability for Sobolev-type neutral evolution equations of fractional order in Banach space

Yong-Ki Ma1, Kamalendra Kumar2, Rohit Patel3, Anurag Shukla4, Kottakkaran Sooppy Nisar5, Velusamy Vijayakumar6( )
Department of Applied Mathematics, Kongju National University, Chungcheongnam-do 32588, Republic of Korea
Department of Mathematics, SRMS College of Engineering and Technology, Bareilly 243001, India
Department of Mathematics, Government PG College Bisalpur, Pilibhit 244001, India
Department of Applied Science, Rajkiya Engineering College Kannauj, Kannauj 209732, India
Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamil Nadu, India
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Abstract

The main focus of this paper is on the boundary controllability of fractional order Sobolev-type neutral evolution equations in Banach space. We show our key results using facts from fractional calculus, semigroup theory, and the fixed point method. Finally, we give an example to illustrate the theory we have established.

Keywords

fractional integrodifferential systemboundary controllabilityfixed point theoremnonlocal conditions
CLC number: 34A08, 34K35, 49J15

References

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AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 11687-11707
DOI: 10.3934/math.2022651

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Ma Y-K, Kumar K, Patel R, et al. An investigation on boundary controllability for Sobolev-type neutral evolution equations of fractional order in Banach space. AIMS Mathematics, 2022, 7(7): 11687-11707. https://doi.org/10.3934/math.2022651

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Received: 13 November 2021
Revised: 06 April 2022
Accepted: 12 April 2022
Published: 15 July 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)