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Research Article | Open Access

A study of Wiener-Hopf dynamical systems for variational inequalities in the setting of fractional calculus

Kamsing Nonlaopon1, Awais Gul Khan2, Muhammad Aslam Noor3, Muhammad Uzair Awan2( )
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Department of Mathematics, Government College University, Allama Iqbal Road, Faisalabad, Pakistan
Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
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Abstract

In this paper, we consider a new fractional dynamical system for variational inequalities using the Wiener Hopf equations technique. We show that the fractional Wiener-Hopf dynamical system is exponentially stable and converges to its unique equilibrium point under some suitable conditions. We also discuss some special cases, which can be obtained from our main results.

Keywords

dynamical systemsfractional derivativeconvergencevariational inequalities
CLC number: 49J40, 46T99, 47H05

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AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 2659-2672
DOI: 10.3934/math.2023139

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Cite this article:
Nonlaopon K, Khan AG, Noor MA, et al. A study of Wiener-Hopf dynamical systems for variational inequalities in the setting of fractional calculus. AIMS Mathematics, 2023, 8(2): 2659-2672. https://doi.org/10.3934/math.2023139

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Received: 02 August 2022
Revised: 27 September 2022
Accepted: 13 October 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)