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<p>This paper discusses the existence of solutions to quadratic fractional integral equations via fixed point theorem. Our method are based on the measure of noncompactness concept combined with a special version of Leray-Schauder fixed point theorem. This theorem eliminates the necessity for the operators to possess closedness, convexity, and compactness properties. Finally some examples have been provided at the end in support of the results.</p>

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Solvability of a generalized two dimensional nonlinear fractional integral equation

  • 期刊论文

  • 发表日期：

    2025年6月11日

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  • Hamid Reza Sahebi,
  • Manochehr Kazemi

摘要

This paper discusses the existence of solutions to quadratic fractional integral equations via fixed point theorem. Our method are based on the measure of noncompactness concept combined with a special version of Leray-Schauder fixed point theorem. This theorem eliminates the necessity for the operators to possess closedness, convexity, and compactness properties. Finally some examples have been provided at the end in support of the results.