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

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...

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Bibliographic Details
Published inAIMS mathematics Vol. 8; no. 2; pp. 2659 - 2672
Main Authors Nonlaopon, Kamsing, Khan, Awais Gul, Noor, Muhammad Aslam, Awan, Muhammad Uzair
Format Journal Article
LanguageEnglish
Published AIMS Press 2023
Subjects
convergence
dynamical systems
fractional derivative
variational inequalities
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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2023139