This paper investigates the existence of solutions for Hadamard fractional differential equations with integral boundary conditions at resonance on infinite domain. By constructing two suitable Banach spaces, establishing an appropriate compactness criterion, and defining appropriate projectors, we study an existence theorem upon the coincidence degree theory of Mawhin. An example is given to illustrate our main result.

中文翻译：

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无限域共振Hadamard分数边值问题的可解性

本文研究了无限域共振积分边界条件下Hadamard分数阶微分方程解的存在性。通过构造两个合适的Banach空间，建立合适的紧性准则，并定义合适的投影仪，我们研究了Mahin重合度理论的存在定理。给出一个例子来说明我们的主要结果。