A non-linear system of Volterra integro-fractional delay differential equations with Caputo fractional derivatives is considered. New sufficient conditions for uniform stability, asymptotic stability, and Mittag-Leffler stability of the zero solution of the unperturbed system, and the boundedness of all solutions of the perturbed system, are presented. The technique of proof involves the Razumikhin method with an appropriate Lyapunov function. For illustrative purposes, two examples are provided.

中文翻译：

---

带卡普托导数的 Volterra 积分分数延迟微分方程的 Razumikhin 定性分析

考虑了具有 Caputo 分数阶导数的 Volterra 积分分数延迟微分方程的非线性系统。提出了无扰系统零解的均匀稳定性、渐近稳定性和 Mittag-Leffler 稳定性的新充分条件，以及扰动系统的所有解的有界性。证明技术涉及具有适当李雅普诺夫函数的 Razumikhin 方法。为了说明的目的，提供了两个例子。