In this paper, we introduce and study a tripled system of three associated fractional differential equations. Prior to proceeding to the main results, the proposed system is converted into an equivalent integral form by the help of fractional calculus. Our approach is based on using the addressed tripled system with cyclic permutation boundary conditions. The existence and uniqueness of solutions are investigated. We employ the Banach and Krasnoselskii fixed point theorems to prove our main results. Illustrative examples are presented to explain the theoretical results.

中文翻译：

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涉及循环置换边界条件的三阶分数阶微分方程组解的存在性

在本文中，我们介绍并研究了三个相关的分数阶微分方程的三元组系统。在进行主要结果之前，借助分数演算将拟议的系统转换为等效的积分形式。我们的方法基于使用具有循环置换边界条件的寻址三元组系统。研究了解决方案的存在性和唯一性。我们采用Banach和Krasnoselskii不动点定理来证明我们的主要结果。给出了说明性的例子来解释理论结果。