An analysis on approximate controllability of Atangana–Baleanu fractional semilinear control systems-Reference-Cited by-同舟云学术

An analysis on approximate controllability of Atangana–Baleanu fractional semilinear control systems

Published:2022-10-11 Issue:0 Volume:0 Page:
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Kavitha Williams Williams¹,Vijayakumar Velusamy¹^ORCID,Shukla Anurag²,Nisar Kottakkaran Sooppy³

Affiliation:

1. Department of Mathematics, School of Advanced Sciences , Vellore Institute of Technology , Vellore 632 014 , Tamilnadu , India

2. Department of Applied Science , Rajkiya Engineering College Kannauj , Kannauj 209732 , India

3. Department of Mathematics, College of Arts and Sciences , Prince Sattam bin Abdulaziz University , Wadi Aldawaser 11991 , Saudi Arabia

Abstract

Abstract The article deals with the approximate controllability of Atangana–Baleanu semilinear control systems. The outcomes are derived by applying Gronwall’s inequality and Cauchy sequence, and avoid the use of the fixed point theorem. We have also included an example for the validation of theoretical results.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2021-0371/pdf

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