In this paper, we study boundary value problems, involving the Hilfer fractional derivative, for pantograph fractional differential equations and inclusions supplemented by nonlocal integral boundary conditions. Existence and uniqueness results are obtained by using well-known fixed point theorems for single and multi-valued functions. Examples illustrating our results are also presented.

中文翻译：

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Hilfer型受电弓分数阶微分方程和包含物的非局部边值问题

在本文中，我们研究受电弓分数阶微分方程和包含非局部积分边界条件的夹杂物的边值问题，涉及Hilfer分数导数。存在性和唯一性结果是通过使用众所周知的单值和多值函数定点定理获得的。还提供了说明我们的结果的示例。