NEW IMPULSIVE-INTEGRAL INEQUALITY FOR STOCHASTIC DIFFERENTIAL EQUATIONS WITH POISSON JUMPS AND CAPUTO FRACTIONAL DERIVATIVE

被引：1

作者：

Gao, Dongdong ^{[1
]}

Li, Jianli ^{[2
]}

机构：

[1] Tongling Univ, Dept Math & Comp Sci, Tongling 244000, Anhui, Peoples R China

[2] Hunan Normal Univ, Coll Math & Stat, Changsha 410081, Hunan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2023年 / 17卷 / 03期

关键词：

Impulsive-integral inequality; Poisson jumps; exponential stability in p th mo-ment; EXPONENTIAL STABILITY; MILD SOLUTIONS; EXISTENCE; DRIVEN; DELAYS;

D O I：

10.7153/jmi-2023-17-53

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence and exponential stability in pth moment of mild solutions for a class of impulsive fractional stochastic differential equations driven by Poisson jumps. Firstly, we discuss the existence and uniqueness of mild solutions for the considered equations by the Banach fixed point theorem. Next, we establish a new impulsive-integral inequality that can effectively improve some previous results [4, 17, 5, 3, 6]. Then, we obtain the exponential stability in the pth moment of mild solutions for the considered equations with the aid of the new inequality. Finally, an example is given to illustrate the efficiency of the obtained theoretical results.

引用

页码：831 / 847

页数：17

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