Scholarlink

Abstract <p>This paper investigates the existence of solutions for a singular generalized <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12202_2025_8387_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Im\)</EquationSource> <!--LobJMat2560681Elhouari-m3--> </InlineEquation>-Hilfer double-phase Choquard fractional differential equation that includes a <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12202_2025_8387_Article_IEq4.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="10" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathfrak{p}\)</EquationSource> <!--LobJMat2560681Elhouari-m4--> </InlineEquation>-Laplacian operator with parameters and a nonlinear term exhibiting subcritical growth. We establish the existence of at least weak positive solutions using the fibering method and the Nehari manifold. Our analysis contributes to advancing the understanding of double-phase Choquard problems within <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12202_2025_8387_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Im\)</EquationSource> <!--LobJMat2560681Elhouari-m5--> </InlineEquation>-Hilfer generalized fractional differential equations with singular non-linearity.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Double Phase Choquard Problem with Singular Term Involving \(\boldsymbol{\Im}\)-Hilfer Fractional Operators

  • 期刊论文

  • 发表日期：

    2025年6月1日

查看全文
  • Hamza El-Houari,
  • Elhoussain Arhrrabi,
  • Leandro S. Tavares

摘要

Abstract

This paper investigates the existence of solutions for a singular generalized \(\Im\) -Hilfer double-phase Choquard fractional differential equation that includes a \(\mathfrak{p}\) -Laplacian operator with parameters and a nonlinear term exhibiting subcritical growth. We establish the existence of at least weak positive solutions using the fibering method and the Nehari manifold. Our analysis contributes to advancing the understanding of double-phase Choquard problems within \(\Im\) -Hilfer generalized fractional differential equations with singular non-linearity.