In this paper, we investigate a class of stochastic Riemann-Liouville type fractional differential equations driven by Lévy noise. By using Itô formula for the considered equation, we attempt to explore the non-confluence property of solution for the considered equation under some appropriate conditions. Our approach is to construct some suitable Lyapunov functions which is novel in exploring the non-confluence property of differential equations.

中文翻译：

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Lévy过程驱动的分数阶随机微分方程的不汇合

在本文中，我们研究了一类由 Lévy 噪声驱动的随机 Riemann-Liouville 型分数微分方程。通过对所考虑的方程使用Itô公式，我们试图探索所考虑的方程在某些适当条件下解的非汇合性。我们的方法是构造一些合适的李亚普诺夫函数，这在探索微分方程的非汇合性质方面是新颖的。