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<p>This paper investigates the approximate controllability of <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\psi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ψ</mi> </math></EquationSource> </InlineEquation>-Caputo fractional differential evolutions involving hemivariational inequalities. With the help of the semigroup property, fractional calculus, the fixed point theorem, and the properties of generalized Clarke’s subdifferentials, mild solution’s existence is proven. We establish sufficient conditions under which approximate controllability holds and illustrate our results with an example.</p>

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Approximate controllability of \(\psi \)-Caputo fractional differential evolutions involving hemivariational inequalities

  • 期刊论文

  • 发表日期：

    2026年6月19日

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  • G. Gokul,
  • M. Sivakumar,
  • M. Sathish Kumar,
  • R. Udhayakumar

摘要

This paper investigates the approximate controllability of \(\psi \) ψ -Caputo fractional differential evolutions involving hemivariational inequalities. With the help of the semigroup property, fractional calculus, the fixed point theorem, and the properties of generalized Clarke’s subdifferentials, mild solution’s existence is proven. We establish sufficient conditions under which approximate controllability holds and illustrate our results with an example.