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<p>The purpose of this paper is devoted to establishing the existence of solutions for <i>m</i>-product non-linear functional integral equations with weakly singular and Riemann–Liouville integral terms. Our technique is based on Petryshyn’s theorem associated with the Hausdorff measure of non-compactness. Further, some examples are provided to illustrate the practicality of the results obtained.</p>

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Solvability of m-product mixed non-linear functional integral equations

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年1月5日

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  • Amar Deep,
  • Manochehr Kazemi,
  • Mohammad Ali Fariborzi Araghi,
  • Mohammad Esmael Samei

摘要

The purpose of this paper is devoted to establishing the existence of solutions for m-product non-linear functional integral equations with weakly singular and Riemann–Liouville integral terms. Our technique is based on Petryshyn’s theorem associated with the Hausdorff measure of non-compactness. Further, some examples are provided to illustrate the practicality of the results obtained.