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<p>In this paper, we use Petryshyn’s fixed point (FP) theorem to investigate the existence of solutions to a system of nonlinear fractional integral equations (FIEs) in the context of real Banach spaces (BSs). Also, the method of measuring non-compactness (MNC) is the main tool used in the analysis of the product of three compounds. Many previous theories in this field have been updated as a result of our findings. In addition, certain physical examples are discussed. Finally, several supporting examples have been included to assess the efficacy and validity of our findings.</p>

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Solving nonlinear fractional equations and some related integral equations under a measure of noncompactness

  • 期刊论文

  • 发表日期：

    2025年1月16日

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  • Hasanen A. Hammad,
  • Hassen Aydi,
  • Manuel De la Sen

摘要

In this paper, we use Petryshyn’s fixed point (FP) theorem to investigate the existence of solutions to a system of nonlinear fractional integral equations (FIEs) in the context of real Banach spaces (BSs). Also, the method of measuring non-compactness (MNC) is the main tool used in the analysis of the product of three compounds. Many previous theories in this field have been updated as a result of our findings. In addition, certain physical examples are discussed. Finally, several supporting examples have been included to assess the efficacy and validity of our findings.