Work

Analysis of variational inequalities with fractional curvilinear integral functionals

Year: 2025

Type: article

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.

Source: Results in Applied Mathematics

DOI: 10.1016/j.rinam.2025.100572

Authors: Octavian Postavaru, Antonela Toma, Savin Treanţă

Institutions: Universitatea Națională de Știință și Tehnologie Politehnica București, Academia Oamenilor de Știință din România

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,770

Funder: Universitatea Politehnica din București