In this paper, we are concerned with the existence and uniqueness of solutions to some coupled systems of higher-order fractional differential equations. By using some fixed point theorems in ordered Banach space, we establish proper conditions under which the considered coupled system dependent on two positive constants has a unique nontrivial solution and the coupled system with two parameters has a unique positive solution. Also we construct iterative scheme for given initial point of the product set to approximate the obtained unique solution. As applications, some specific examples are provided to illustrate our main results.

中文翻译：

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具有多点边界条件的高阶耦合分数阶微分系统的唯一性方法

在本文中，我们关注一些高阶分数阶微分方程耦合系统解的存在性和唯一性。通过在有序Banach空间中使用一些不动点定理，我们建立了适当的条件，在该条件下，所考虑的依赖于两个正常数的耦合系统具有唯一的平凡解，而具有两个参数的耦合系统具有唯一的正解。此外，我们针对给定的产品集初始点构造迭代方案，以近似获得的唯​​一解。作为应用程序，提供了一些特定的示例来说明我们的主要结果。