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

AIMS Mathematics

article

Kamsing Nonlaopon¹  Awais Gul Khan²  Muhammad Aslam Noor³  Muhammad Uzair Awan² 

[1] Department of Mathematics, Faculty of Science, Khon Kaen University;Department of Mathematics, Government College University, Allama Iqbal Road, Faisalabad;Department of Mathematics, COMSATS University Islamabad

关键词: dynamical systems;    fractional derivative;    convergence;    variational inequalities;   

DOI  :  10.3934/math.2023139

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY