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<p>In this current research, we examine a sequential coupled system of fractional differential equations, involving mixed Caputo and Erdélyi-Kober fractional derivatives, with nonlocal non-separated boundary conditions. In relation to the existence and the uniqueness solutions of the proposed system, new obtained results are established based on the contraction mapping principle of Banach, fixed point theorems of Krasnosel’skiĭ and Leray-Schauder alternative. In general, numerical applications are constructed to demonstrate the obtained theoretical achievements.</p>

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Dynamical sequential coupled FDEs mixed Caputo and Erdélyi-Kober operators via non-separated conditions

  • 期刊论文

  • 发表日期：

    2026年5月9日

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  • Ayub Samadi,
  • Mohammad Esmael Samei,
  • Jessada Tariboon

摘要

In this current research, we examine a sequential coupled system of fractional differential equations, involving mixed Caputo and Erdélyi-Kober fractional derivatives, with nonlocal non-separated boundary conditions. In relation to the existence and the uniqueness solutions of the proposed system, new obtained results are established based on the contraction mapping principle of Banach, fixed point theorems of Krasnosel’skiĭ and Leray-Schauder alternative. In general, numerical applications are constructed to demonstrate the obtained theoretical achievements.