Different from existing researches, under non-Lipschitz condition, we establish an averaging principle for a class of fractional neutral stochastic differential equations (FNSDEs) involving delayed impulses without periodic assumptions of coefficients and impulses. To overcome the difficulties brought by the impulsive terms, we develop a new estimating approach, which can be used to improve some recent studies on periodic averaging methods for impulsive stochastic differential equations (ISDEs).

中文翻译：

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脉冲分数中立随机微分方程的平均结果

与现有研究不同，在非Lipschitz条件下，我们为一类涉及延迟脉冲的分数中立型随机微分方程（FNSDE）建立了平均原理，而没有周期性地假设系数和脉冲。为了克服由脉冲项带来的困难，我们开发了一种新的估计方法，该方法可用于改进对脉冲随机微分方程（ISDE）的周期平均方法的一些最新研究。