The paper concerned with the controllability of nonlinear fractional noninstantaneous (NI) impulsive integrodifferential stochastic delay system (ISDS). Some sufficient conditions for the controllability of fractional NI impulsive ISDS have been derived by the new approach of measure of noncompactness in finite dimensional space. This NI impulsive ISDS is more reliable for the evolution process in pharmacotherapy. By using Mönch fixed point theorem, existence results have been proved. The result is new in the finite dimensional setting with NI impulse.

中文翻译：

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分数阶非瞬时脉冲积分微分随机延迟系统的可控性

该论文涉及非线性分数非瞬时（NI）脉冲积分微分随机延迟系统（ISDS）的可控性。通过有限维空间非紧性测度的新方法，推导出了分数NI脉冲ISDS可控性的一些充分条件。这种 NI 脉冲 ISDS 对于药物治疗的进化过程更可靠。利用Mönch不动点定理，证明了存在性结果。结果在有限维设置中是新的，具有 NI 脉冲。