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<p>This paper is dedicated to the investigation of conformable fractional differential equations featuring an iterative source term and integral boundary conditions. The study is particularly concentrated on cases where the order of the equation resides in the interval of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12190_2025_2489_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="35" /> </InlineMediaObject> <EquationSource Format="TEX">\((2, 3]\)</EquationSource> </InlineEquation>. By utilizing, fixed point theorem of Schauder, we establish results concerning the continuous dependence, existence, and uniqueness of positive solutions for such equations. To illustrate our theoretical results, we present two illustrative examples.</p>

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Positive bounded solutions for iterative BVP with conformable fractional operator of order in (2,3]

  • 期刊论文

  • 发表日期：

    2025年4月24日

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  • Manal Menchih,
  • Hiba El Asraoui,
  • Khalid Hilal,
  • Ahmed Kajouni,
  • Mohammad Esmael Samei

摘要

This paper is dedicated to the investigation of conformable fractional differential equations featuring an iterative source term and integral boundary conditions. The study is particularly concentrated on cases where the order of the equation resides in the interval of \((2, 3]\) . By utilizing, fixed point theorem of Schauder, we establish results concerning the continuous dependence, existence, and uniqueness of positive solutions for such equations. To illustrate our theoretical results, we present two illustrative examples.