Stability analysis of Atangana-Baleanu fractional stochastic differential systems with impulses

被引：13

作者：

Dhayal, Rajesh ^{[1
]}

Gomez-Aguilar, J. F.

Torres-Jimenez, J. ^{[2
]}

机构：

[1] Thapar Inst Engn & Technol, Sch Math, Patiala, Punjab, India

[2] Tecnol Nacl Mexico, Inst Tecnol Super Huauchinango, Ingn Elect Maestria Tecnol Informac, Huauchinango, Mexico

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2022年 / 53卷 / 16期

关键词：

Stochastic system; Atangana-Baleanu fractional derivative; fractional Brownian motion; non-instantaneous impulses; stability; CONTROLLABILITY; EQUATIONS; DELAY;

D O I：

10.1080/00207721.2022.2090638

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is devoted to exploring a new class of Atangana-Baleanu fractional stochastic differential systems driven by fractional Brownian motion with non-instantaneous impulsive effects. Using resolvent family, fixed point technique, and fractional calculus, we analysed the existence and uniqueness of the mild solution. Moreover, we discussed the stability criteria for the proposed problem. A numerical example is given to illustrate the theoretical results.

引用

页码：3481 / 3495

页数：15

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