Abstract In this paper, we investigate a class of semilinear fractional differential equations with non-instantaneous impulses and integral boundary value conditions. By the method of upper and lower solutions combined with Amann three-solution theorem, existence results of at least three solutions are obtained.

中文翻译：

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非瞬时脉冲半线性分数阶微分方程积分边值问题的上下解法

摘要 本文研究了一类具有非瞬时脉冲和积分边值条件的半线性分数阶微分方程。通过上下解法结合阿曼三解定理，得到至少三个解的存在性结果。