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Weak solvability of a fractional viscoelastic frictionless contact problem

Author

Listed:
  • Han, Jiangfeng
  • Migórski, Stanisław
  • Zeng, Huidan

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.

Suggested Citation

  • Han, Jiangfeng & Migórski, Stanisław & Zeng, Huidan, 2017. "Weak solvability of a fractional viscoelastic frictionless contact problem," Applied Mathematics and Computation, Elsevier, vol. 303(C), pages 1-18.
    • Handle: RePEc:eee:apmaco:v:303:y:2017:i:c:p:1-18
    DOI: 10.1016/j.amc.2017.01.009
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    Cited by:

    1. Prakash, Amit & Kumar, Manoj & Baleanu, Dumitru, 2018. "A new iterative technique for a fractional model of nonlinear Zakharov–Kuznetsov equations via Sumudu transform," Applied Mathematics and Computation, Elsevier, vol. 334(C), pages 30-40.

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