In this paper, we establish the Lyapunov-type inequality for boundary value problems involving generalized Caputo fractional derivatives that unite the Caputo and Caputo-Hadamrad fractional derivatives. An application about the zeros of generalized types of Mittag-Leffler functions is given.

中文翻译：

---

广义卡普托导数框架中的李雅普诺夫型不等式

在本文中，我们为边值问题建立了李雅普诺夫型不等式，这些边值问题涉及将 Caputo 和 Caputo-Hadamrad 分数阶导数联合起来的广义 Caputo 分数阶导数。给出了广义类型Mittag-Leffler函数的零点应用。