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<p>We obtain new results regarding the existence, uniqueness, and stability of solutions for a class of fractional Caputo sequential coupled hybrid system which are investigated by applying fixed-point theorems such as Banach’s contraction mapping principle and Leray–Schauder’s alternative. Also, the stability of the mentioned fractional sequential hybrid system is defined and studied. Lastly, we demonstrate some numerical examples in order to confirm our results.</p>

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Solvability and stability results for coupled hybrid system with sequential Caputo fractional derivatives

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月27日

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  • Mohamed Houas,
  • Abdul Hamid Ganie,
  • Mohammad Esmael Samei,
  • Tina Maniee

摘要

We obtain new results regarding the existence, uniqueness, and stability of solutions for a class of fractional Caputo sequential coupled hybrid system which are investigated by applying fixed-point theorems such as Banach’s contraction mapping principle and Leray–Schauder’s alternative. Also, the stability of the mentioned fractional sequential hybrid system is defined and studied. Lastly, we demonstrate some numerical examples in order to confirm our results.