论文标题

通过Mittag-Leffler函数具有两个Hadamard分数衍生物的Langevin方程的可溶性

Solvability of Langevin equations with two Hadamard fractional derivatives via Mittag-Leffler functions

论文作者

Abbas, M. I., Ragusa, M. A.

论文摘要

在本文中,我们讨论了使用两个Hadamard分数衍生物的Langevin方程的可溶性。该讨论的方法是研究等效伏击量积分方程的解决方案,从米塔格勒夫勒功能方面。分别使用Schauder固定点定理和Banach固定点定理来确定存在和唯一性结果。给出一个示例来说明主要结果。

In this paper we discuss the solvability of Langevin equations with two Hadamard fractional derivatives. The method of this discussion is to study the solutions of the equivalent Volterra integral equation in terms of Mittag- Leffler functions. The existence and uniqueness results are established by using Schauder fixed point theorem and Banach fixed point theorem respectively. An example is given to illustrate the main results.

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