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

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 systems
• fractional derivative
• convergence
• variational inequalities