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<p>Based on the investigation of quasi-static viscoelastic contact mechanical models integrated with a doubly nonlinear uniform conformable Kelvin-Voigt constitutive equation, this paper proposes a class of uniform conformable evolutionary systems featuring doubly nonlinear operators. Under appropriate hypotheses, the existence and uniqueness of solutions to these systems are rigorously established by means of surjective theory. Accordingly, the existence of weak solutions for the corresponding mechanical models is deduced from the aforementioned abstract mathematical results.</p>

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Analytical advances in solving conformable differential system for contact mechanics problems

  • 期刊论文

  • 发表日期：

    2026年5月22日

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  • Suping Wang,
  • Zhenxiang Li,
  • Jingjing Fan

摘要

Based on the investigation of quasi-static viscoelastic contact mechanical models integrated with a doubly nonlinear uniform conformable Kelvin-Voigt constitutive equation, this paper proposes a class of uniform conformable evolutionary systems featuring doubly nonlinear operators. Under appropriate hypotheses, the existence and uniqueness of solutions to these systems are rigorously established by means of surjective theory. Accordingly, the existence of weak solutions for the corresponding mechanical models is deduced from the aforementioned abstract mathematical results.