In this paper, we study existence and uniqueness of solutions for a system of Caputo-Hadamard fractional differential equations supplemented with multi-point boundary conditions. Our results are based on some classical fixed point theorems such as Banach contraction mapping principle, Leray-Schauder fixed point theorems. At last, we have presented two examples for the illustration of main results.

中文翻译：

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具有多点边界条件的Caputo-Hadamard分数阶微分方程组的存在性和唯一性

在本文中，我们研究了带有多点边界条件的Caputo-Hadamard分数阶微分方程组解的存在性和唯一性。我们的结果基于一些经典的不动点定理，例如Banach压缩映射原理，Leray-Schauder不动点定理。最后，我们给出了两个例子来说明主要结果。