This paper is devoted to the existence of positive solutions for a nonlinear coupled Hadamard fractional differential system, with multistrip and multipoint mixed boundary conditions on an infinite interval. Based on the Arzelá-Ascoli theorem, we establish an important lemma to prove the complete continuity of operators on the infinite interval. Using the monotone iterative technique, the existence criteria for positive extremal solutions can be acquired, and an example is given to illustrate the feasibility of the above study as well.

中文翻译：

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多带多点混合边界条件下无限域耦合Hadamard型分数阶微分系统的迭代正解

本文致力于非线性耦合Hadamard分数阶微分系统的正解的存在性，它具有无限区间上的多带和多点混合边界条件。基于Arzelá-Ascoli定理，我们建立了一个重要引理，以证明算子在无限区间上的完全连续性。使用单调迭代技术，可以获得正极端解的存在准则，并通过一个例子说明了上述研究的可行性。