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<p>This article examines the optimal feedback control systems governed by <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11785_2025_1741_Article_IEq1.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 differential system with hemivariational inequalities. By using fixed point theorem, we investigate the existence result of mild solutions. The existence of feasible pairs is established by employing the Filippov theorem and the Cesari property. At last, an illustration is provided to substantiate the effectiveness of our outcome.</p>

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Optimal Feedback Control of \(\psi \)-Hilfer Fractional Differential System with Hemivariational Inequalities

  • 期刊论文

  • 发表日期：

    2025年6月23日

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  • G. Gokul,
  • R. Udhayakumar

摘要

This article examines the optimal feedback control systems governed by \(\psi \) ψ -Hilfer fractional differential system with hemivariational inequalities. By using fixed point theorem, we investigate the existence result of mild solutions. The existence of feasible pairs is established by employing the Filippov theorem and the Cesari property. At last, an illustration is provided to substantiate the effectiveness of our outcome.