In this paper, we present some theorems on impulsive periodic boundary value problems with fractional derivative dependence. In particular, we discuss the existence of solutions of a class of fractional-order impulsive periodic boundary values with nonlinear terms and impulsive terms satisfying certain growth conditions. Three examples are provided to illustrate our results.

中文翻译：

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具有脉冲和分数阶导数相关性的周期边值问题的解的存在性

在本文中，我们提出了关于分数阶导数相关的脉冲周期边值问题的一些定理。特别是，我们讨论了一类分数阶脉冲周期边界值的解，该解具有满足某些增长条件的非线性项和脉冲项。提供了三个示例来说明我们的结果。