Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5011312 | Communications in Nonlinear Science and Numerical Simulation | 2018 | 25 Pages |
Abstract
In this paper a class of elliptic hemivariational inequalities involving the time-fractional order integral operator is investigated. Exploiting the Rothe method and using the surjectivity of multivalued pseudomonotone operators, a result on existence of solution to the problem is established. Then, this abstract result is applied to provide a theorem on the weak solvability of a fractional viscoelastic contact problem. The process is quasistatic and the constitutive relation is modeled with the fractional Kelvin-Voigt law. The friction and contact conditions are described by the Clarke generalized gradient of nonconvex and nonsmooth functionals. The variational formulation of this problem leads to a fractional hemivariational inequality.
Keywords
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Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Shengda Zeng, StanisÅaw Migórski,