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.
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页数：18
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