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<p>The purpose of this paper is to study the existence of solutions for quadratic fractional integral equations by using fixed point theorems. A technique which is based on the concept of the measure of noncompactness together with a special form of the Leray–Schauder fixed point theorem is used. Using this technique, there is no need for the operators to be closed, convex, or compact in the theorem. Finally, some examples are given at the end of the paper to show how the results work.</p>

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Solvability of a quadratic nonlinear fractional integral equation

  • 期刊论文

  • 发表日期：

    2026年4月4日

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  • Ümit Çakan,
  • Beenu Singh

摘要

The purpose of this paper is to study the existence of solutions for quadratic fractional integral equations by using fixed point theorems. A technique which is based on the concept of the measure of noncompactness together with a special form of the Leray–Schauder fixed point theorem is used. Using this technique, there is no need for the operators to be closed, convex, or compact in the theorem. Finally, some examples are given at the end of the paper to show how the results work.