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<p>This paper deals with the existence, uniqueness and Ulam-Hyers stability of solutions for a hybrid fractional integro-differential dynamical system involving boundary conditions of hybrid type. Firstly, we obtain new properties of the presented Green’s function. Based on the fixed point theorems of Banach and Dhage, results of existence and uniqueness are achieved. Also, stabilities conditions of Ulam-Hyers and generalized Ulam-Hyers stability are discussed. Finally, two numerical examples confirms the efficiency of our theoretical findings.</p>

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Results on existence and stability of hybrid fractional integro-differential equations involving hybrid boundary conditions

  • 期刊论文

  • 发表日期：

    2025年7月4日

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  • Faouzi Haddouchi,
  • Salim Baadj,
  • Mohammad Esmael Samei

摘要

This paper deals with the existence, uniqueness and Ulam-Hyers stability of solutions for a hybrid fractional integro-differential dynamical system involving boundary conditions of hybrid type. Firstly, we obtain new properties of the presented Green’s function. Based on the fixed point theorems of Banach and Dhage, results of existence and uniqueness are achieved. Also, stabilities conditions of Ulam-Hyers and generalized Ulam-Hyers stability are discussed. Finally, two numerical examples confirms the efficiency of our theoretical findings.