A New Class of ψ-Caputo Fractional Viscoelastic Contact Problems with Adhesion in Symmetric Dual Spaces
Year: 2026
Type: article
Abstract: This paper is dedicated to the discussion of a new long memory ψ-Caputo fractional viscoelastic friction contact problem with adhesion in symmetric dual spaces. In this contact model, the contact condition is described by Clarke-generalized gradient of nonconvex and non-smooth function involving adhesion. Firstly, we investigate a new system involving a ψ-Caputo fractional variational–hemivariational inequalities with history-dependent operators coupled with a nonlinear differential equation. By employing the Rothe method in conjunction with surjectivity results for multivalued pseudomonotone operators, the solvability of weak solutions to ψ-Caputo fractional differential variational–hemivariational inequality system is obtained. Furthermore, we applied the abstract results obtained to the history-dependent viscoelastic contact problem considering adhesion phenomena and provided the existence of solution for this contact problem.
Source: Symmetry
DOI: 10.3390/sym18020294
Author: Furi Guo
Institution: Shanxi Datong University
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
OpenAlex ID: W7128082354
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