Work

A system of Hilfer fractional differential equation combined with quasi-hemivariational inequality deriving from contact mechanics

Year: 2025

Type: article

Abstract: The current work is devoted to discussing a new problem that consists of an impulsive fractional differential nonlinear equation in the sense of Hilfer, combined with a quasi-variational and hemivariational inequality. We utilize the fixed point theorem, abstract variational inequalities, and the properties of Hilfer fractional derivatives to ensure that the problem's solution exists and is unique. Furthermore, the findings obtained are used to analyze the existence and uniqueness of the frictional contact problem between an elastic body with impulsive effects on surface traction and a rigid foundation.

Source: Evolution equations and control theory

DOI: 10.3934/eect.2025034

Authors: Abderrahmane Oultou, Jinxia Cen, Hicham Benaissa

Institutions: Université Sultan Moulay Slimane, Zhejiang Normal University

Language: English

Topic: Contact Mechanics and Variational Inequalities

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Natural Science Foundation of Chongqing, Centre Scientifique et Technique du Bâtiment, Yulin Normal University

Awards: G1348905445, G2006575907, G504305494