In this manuscript, the existence of solutions for a novel category of the fractional differential equation of hybrid type with hybrid boundary value conditions is studied. Also, we review the existence result for its related hybrid inclusion problem with hybrid conditions. In the end of the paper, two illustrative examples are given to demonstrate the consistency to our key results.

中文翻译：

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基于混合边值条件的混合包含问题

在该手稿中，研究了具有混合边值条件的混合型分数阶微分方程的一类新解的存在性。另外，我们还回顾了其与混合条件相关的混合包含问题的存在结果。在本文的最后，给出了两个说明性的例子来证明与我们的主要结果的一致性。