Discussion on boundary controllability of nonlocal fractional neutral integrodifferential evolution systems

Yong-Ki Ma; Kamalendra Kumar; Rakesh Kumar; Rohit Patel; Anurag Shukla; Velusamy Vijayakumar; Yong-Ki Ma; Kamalendra Kumar; Rakesh Kumar; Rohit Patel; Anurag Shukla; Velusamy Vijayakumar

doi:10.3934/math.2022429

AIMS Mathematics

2022, Volume 7, Issue 5: 7642-7656. doi: 10.3934/math.2022429

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Discussion on boundary controllability of nonlocal fractional neutral integrodifferential evolution systems

1.
Department of Applied Mathematics, Kongju National University, Chungcheongnam-do 32588, Korea
2.
Department of Mathematics, SRMS College of Engineering and Technology, Bareilly-243001, India
3.
Department of Mathematics, Hindu College, Moradabad-244001, India
4.
Department of Applied Science, Rajkiya Engineering College Kannauj, Kannauj-209732, India
5.
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, Tamil Nadu, India

Received: 30 November 2021 Revised: 04 February 2022 Accepted: 10 February 2022 Published: 16 February 2022
MSC : 34A08, 49J15, 34K35

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.
- integrodifferential system,
- Banach fixed point theorem,
- nonlocal condition,
- boundary controllability,
- time varying delays,
- semigroup theory
Citation: Yong-Ki Ma, Kamalendra Kumar, Rakesh Kumar, Rohit Patel, Anurag Shukla, Velusamy Vijayakumar. Discussion on boundary controllability of nonlocal fractional neutral integrodifferential evolution systems[J]. AIMS Mathematics, 2022, 7(5): 7642-7656. doi: 10.3934/math.2022429

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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.

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