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<p>This article examines a class of <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="9_2025_2811_Article_IEq4.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\psi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ψ</mi> </math></EquationSource> </InlineEquation>-Hilfer fractional neutral differential systems consisting hemivariational inequalities involving history-dependent operators. By employing fractional calculus, fixed-point technique, and generalised Clarke subdifferential, we exhibit the existence of mild solution. Additionally, an example is presented to demonstrate the main results.</p>

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A Class of \(\psi \)-Hilfer Fractional Neutral Differential Evolutions with Hemivariational Inequalities Involving History-Dependent Operators

  • 期刊论文

  • 发表日期：

    2025年2月21日

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  • G. Gokul,
  • R. Udhayakumar

摘要

This article examines a class of \(\psi \) ψ -Hilfer fractional neutral differential systems consisting hemivariational inequalities involving history-dependent operators. By employing fractional calculus, fixed-point technique, and generalised Clarke subdifferential, we exhibit the existence of mild solution. Additionally, an example is presented to demonstrate the main results.