Analysis of variational inequalities with fractional curvilinear integral functionals

Abstract

This study examines weak sharp solutions for a category of variational inequalities incorporating functionals based on fractional curvilinear integrals, expanding the conventional approach with concepts from fractional calculus. Furthermore, by using the sufficiency property of the minimum principle, the paper establishes and proves results on the weak sharpness characteristic of the solution collection for this type of inequality constraints. An application is provided to illustrate the main theoretical findings.