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<p>In this work, we explore the existence of solutions to an initial value problem for nonlinear neutral delay <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10958_2024_7485_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Psi\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Ψ</mi> </math></EquationSource> </InlineEquation>-Caputo fractional hybrid differential equations with bounded delays. The existence results are established using fixed point theorems. To demonstrate the practical applicability of our findings, we provide an illustrative example.</p>

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INITIAL VALUE PROBLEMS FOR NONLINEAR NEUTRAL DELAY \(\Psi\)-CAPUTO FRACTIONAL HYBRID DIFFERENTIAL EQUATIONS WITH BOUNDED DELAYS

  • 期刊论文

  • 发表日期：

    2025年1月9日

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  • Hayat Malghi,
  • Abdellah Taqbibt,
  • M’hamed El Omari,
  • Abdelaziz Qaffou,
  • Khalid Hilal

摘要

In this work, we explore the existence of solutions to an initial value problem for nonlinear neutral delay \(\Psi\) Ψ -Caputo fractional hybrid differential equations with bounded delays. The existence results are established using fixed point theorems. To demonstrate the practical applicability of our findings, we provide an illustrative example.