Approximate controllability and optimal control in fractional differential equations with multiple delay controls, fractional Brownian motion with Hurst parameter in 0 < H < 1/2, and Poisson jumps

被引：2

作者：

Zhao, Hengzhi ^{[1
]}

Zhang, Jiwei ^{[2
]}

Lu, Jing ^{[1
]}

Hu, Jiang ^{[1
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Key Lab Appl Stat, MOE, Changchun 130024, Jilin, Peoples R China

[2] Northeast Normal Univ, Fac Educ, Changchun 130024, Jilin, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2024年 / 128卷

关键词：

Approximate controllability; Optimal control; Multi-delay; Poisson jumps; Hurst parameter; Stochastic fractional differential equation; EVOLUTION-EQUATIONS; DRIVEN; SYSTEMS; EXISTENCE; INCLUSIONS; FBM;

D O I：

10.1016/j.cnsns.2023.107636

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we primarily employ the principle of contraction mapping to establish the approximate controllability and existence of optimal control for a multi-delay stochastic fractional differential equation system with a control function featuring Poisson jumps, given the Hurst parameter in the range of 0 < H < 1/2. Ultimately, we substantiate the validity of our theory through the implementation of a pertinent example.

引用

页数：18

共 39 条

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[39] Existence of Solutions and Approximate Controllability of Fractional Nonlocal Stochastic Differential Equations of Order 1<q≤2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$1<q\le 2$$\end{document} with Infinite Delay and Poisson Jumps
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Approximate controllability and optimal control in fractional differential equations with multiple delay controls, fractional Brownian motion with Hurst parameter in 0 &lt; H &lt; 1/2, and Poisson jumps

Approximate controllability and optimal control in fractional differential equations with multiple delay controls, fractional Brownian motion with Hurst parameter in 0 < H < 1/2, and Poisson jumps