This investigation is devoted to the study of a certain class of coupled systems of higher-order Hilfer fractional boundary value problems at resonance. Combining the coincidence degree theory with the Lipschitz-type continuity conditions on nonlinearities, we present some existence and uniqueness criteria. Finally, to practically implement the obtained theoretical criteria, we give an illustrative application.

中文翻译：

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共振时高阶Hilfer分数边值问题的存在性和唯一性准则

这项研究致力于研究共振时高阶Hilfer分数边值问题的一类耦合系统。结合符合度理论和非线性上的Lipschitz型连续性条件，我们提出了一些存在性和唯一性准则。最后，为切实执行所获得的理论标准，我们给出了说明性应用。