Weak solvability of a fractional viscoelastic frictionless contact problem

Jiangfeng Han, Stanisław Migórski and Huidan Zeng

Applied Mathematics and Computation, 2017, vol. 303, issue C, 1-18

Abstract: The goal of this paper is to study a quasistatic frictionless contact problem for a viscoelastic body in which the constitutive equation is modeled with the fractional Kelvin–Voigt law and the contact condition is described by the Clarke subdifferential of a nonconvex and nonsmooth functional. The variational formulation of this problem is provided in the form of a fractional hemivariational inequality. In order to solve this inequality, we apply the Rothe method and prove that the associated abstract Volterra inclusion has at least one solution.

Keywords: Caputo derivative; Fractional hemivariational inequality; Rothe method; Clarke subdifferential; Frictionless contact; Weak solvability (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:303:y:2017:i:c:p:1-18

DOI: 10.1016/j.amc.2017.01.009

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