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<p>This paper investigates the existence of solutions for a class of nonlinear Hilfer-Katugampola fractional integro-differential equations defined on a finite interval <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math> <mo stretchy="false">[</mo> <mn>0</mn> <mo>,</mo> <mi>T</mi> <mo stretchy="false">]</mo> </math></EquationSource> <EquationSource Format="TEX">$[0,T]$</EquationSource> </InlineEquation>. By employing the Banach contraction mapping principle and Krasnoselskii’s fixed point theorem, we establish sufficient conditions that guarantee the existence of solutions to the considered initial value problem.</p>

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Existence of solutions for nonlinear Hilfer-Katugampola fractional integro-differential equations

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月19日

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  • Qiu-ju Mi,
  • Yu-bo He,
  • Chao-liang Chen

摘要

This paper investigates the existence of solutions for a class of nonlinear Hilfer-Katugampola fractional integro-differential equations defined on a finite interval [ 0 , T ] $[0,T]$ . By employing the Banach contraction mapping principle and Krasnoselskii’s fixed point theorem, we establish sufficient conditions that guarantee the existence of solutions to the considered initial value problem.