Study of Problem Described by Fractional Differential Hemivariational Inequalities

Abstract

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wA’’ whfm T§ry ¢bK ¤ T§rsk The objective of this thesis is to prove the existence and uniqueness of the weak solution for a thermomechanical contact problem of a viscoelastic body, taking into account the long-term memory effect along with a normal compliance and friction law. This problem is mechanically modeled using fractional and quasi-variational differential inequalities in the sense of Caputo. Our study focused on the analytical aspect, relying on Banach’s fixed-point theorem and Gronwall’s inequality. TylRAft