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<p>In this work, leveraging our mathematical frameworks abstract existence theorems, we rigorously prove weak solution existence to a novel quasi-static viscoelastic contact mechanics model via the Rothe method, the Surjective Theorem, and Clarke generalized gradient properties. This model innovatively incorporates the fractional Kelvin-Voigt constitutive law, which introduce memory-dependent hereditary effects, and frictional contact laws based on nonsmooth analysis.</p>

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A Novel Framework of Fractional Hemivariational Inequalities

  • 期刊论文

  • 发表日期：

    2026年6月26日

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  • Xinyi Bo,
  • Jing Li,
  • Donal O’Regan

摘要

In this work, leveraging our mathematical frameworks abstract existence theorems, we rigorously prove weak solution existence to a novel quasi-static viscoelastic contact mechanics model via the Rothe method, the Surjective Theorem, and Clarke generalized gradient properties. This model innovatively incorporates the fractional Kelvin-Voigt constitutive law, which introduce memory-dependent hereditary effects, and frictional contact laws based on nonsmooth analysis.