An averaging result for fractional variable-order neutral differential equations with variable delays driven by Markovian switching and Lévy noise

被引：5

作者：

Moualkia, Seyfeddine ^{[1
,3
]}

Liu, Yang ^{[1
,2
]}

Qiu, Jianlong ^{[4
]}

Lu, Jianquan ^{[5
]}

机构：

[1] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China

[2] Zhejiang Normal Univ, Key Lab Intelligent Educ Technol & Applicat Zhejia, Jinhua 321004, Peoples R China

[3] Univ 8 Mai 1945, Dept Math, Guelma 24000, Algeria

[4] Linyi Univ, Sch Automat & Elect Engn, Linyi 276005, Peoples R China

[5] Southeast Univ, Sch Math, Dept Syst Sci, Nanjing 210096, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2024年 / 182卷

基金：

中国国家自然科学基金;

关键词：

Averaging principle; Fractional variable-order; Neutral differential equation; L & eacute; vy noise; Markovian switching; Variable delay;

D O I：

10.1016/j.chaos.2024.114795

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we derive new results on the averaging principle for a class of Caputo neutral stochastic system driven by Markovian switching and L & eacute;vy noise with variable delays and time-varying fractional order. Under a set of appropriate conditions, we showed that solutions of the averaged stochastic systems approach the solutions of the original stochastic systems in the sense of both convergences in mean square and convergence in probability. Finally, we attach two examples with numerical simulations to justify the validity of our theory.

引用

页数：10

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