This paper mainly concerns with the stability of nonlinear Caputo fractional neutral stochastic differential system with variable delay. A sufficient condition is derived to ensure that the trivial solution is mean-square asymptotically stable by employing the Banach’s contraction principle, in which the boundedness of delays is not required. An illustrative example is provided to show the efficiency of our results.

中文翻译：

---

具有可变时滞的分数中立随机系统的渐近稳定性

本文主要研究具有可变时滞的非线性Caputo分数阶中立随机微分系统的稳定性。通过采用Banach的收缩原理，推导了一个充分的条件以确保平凡的解是均方渐近稳定的，该原理不需要延迟的有界性。提供了一个说明性示例以显示我们的结果的效率。