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<p>We employ Mönch’s fixed point theorem along with the technique of measure of non-compactness to establish the existence of solutions for a coupled system of tempered fractional differential equations with nonlocal boundary conditions. Additionally, we investigate the Ulam stability of the system as a qualitative aspect of our analysis. Finally, an illustrative example is provided to demonstrate that our approach meets the specific requirements set forth in the paper.</p>

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On Nonlocal Boundary Caputo Tempered Fractional Coupled Systems in Banach Spaces

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年1月16日

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  • Halima Kadari,
  • Abdelkrim Salim,
  • Mouffak Benchohra,
  • Erdal Karapinar

摘要

We employ Mönch’s fixed point theorem along with the technique of measure of non-compactness to establish the existence of solutions for a coupled system of tempered fractional differential equations with nonlocal boundary conditions. Additionally, we investigate the Ulam stability of the system as a qualitative aspect of our analysis. Finally, an illustrative example is provided to demonstrate that our approach meets the specific requirements set forth in the paper.