A study of Wiener-Hopf dynamical systems for variational inequalities in the setting of fractional calculus-Reference-Cited by-同舟云学术

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

Published:2023 Issue:2 Volume:8 Page:2659-2672
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Nonlaopon Kamsing¹,Khan Awais Gul²,Noor Muhammad Aslam³,Awan Muhammad Uzair²

Affiliation:

1. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

2. Department of Mathematics, Government College University, Allama Iqbal Road, Faisalabad, Pakistan

3. Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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