This paper is devoted to the investigation of a kind of generalized Caputo semilinear fractional differential inclusions with deviated-advanced nonlocal conditions. Solvability of the problem is established by means of the Leray-Schauder’s alternative approach with the help of the Lagrange mean-value classical theorem. Finally, some examples are given to delineate the efficient of theoretical results.

中文翻译：

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具有广义Caputo导数的分数阶微分包含的可解性

本文致力于研究一种具有超前非局部条件的广义Caputo半线性分数阶微分包含。该问题的可解决性是借助Leray-Schauder的替代方法并借助Lagrange中值经典定理确定的。最后，给出一些例子来描述理论结果的有效性。