Exponential stability of nonlinear fractional stochastic system with Poisson jumps

被引：10
|
作者：
Balasubramaniam, P. [1 ]
Sathiyaraj, T. [2 ]
Priya, K. [1 ]
机构：
[1] Deemed Be Univ, Gandhigram Rural Inst, Dept Math, Gandhigram, India
[2] UCSI Univ, Inst Comp Sci & Digital Innovat, Kuala Lumpur, Malaysia
来源：
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES | 2021年 / 93卷 / 06期
关键词：
Exponential stability; fixed point theorem; fractional calculus; stochastic system; Poisson jumps; EQUATIONS; DRIVEN;
D O I：
10.1080/17442508.2020.1838524
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, exponential stability of nonlinear fractional order stochastic system with Poisson jumps is studied in finite dimensional space. The existence and uniqueness of solution, stability and exponential stability results are established by using boundedness properties of Mittag-Leffler matrix function, fixed point route and local assumptions on nonlinear terms. A numerical example is given to illustrate the efficiency of the obtained results. Finally, conclusion is drawn.
引用
收藏
页码：945 / 957
页数：13
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