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<p>In this manuscript, we intend to investigate the existence of solutions for a generalized Erdély-Kober integral equations based on Petryshyan theorem associated with measure of noncompactness in Banach space. Under less stringent conditions, an existence solution is established for a general category of fractional integral equations. It is natural, relevant examples will be useful enough to confirm our achievements which are presented.</p>

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Analysis of the existence of solutions for a general class of equations, including the q-Erdélyi-Kober integral

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月21日

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  • Hamid Reza Sahebi,
  • Mohammad Esmael Samei

摘要

In this manuscript, we intend to investigate the existence of solutions for a generalized Erdély-Kober integral equations based on Petryshyan theorem associated with measure of noncompactness in Banach space. Under less stringent conditions, an existence solution is established for a general category of fractional integral equations. It is natural, relevant examples will be useful enough to confirm our achievements which are presented.