Analysis of controllability in Caputo-Hadamard stochastic fractional differential equations with fractional Brownian motion

被引：0
|
作者：
Lavanya, M. [1 ]
Vadivoo, B. Sundara [1 ]
机构：
[1] Alagappa Univ, Dept Math, Karaikkudi 630004, Tamil Nadu, India
来源：
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL | 2024年 / 12卷 / 01期
关键词：
Stochastic fractional systems; Caputo-Hadamard fractional derivative; Controllability; Fractional Brownian motion;
D O I：
10.1007/s40435-023-01244-z
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 describing the complex system, mainly focused on the Caputo-Hadamard stochastic fractional differential equation with fractional Brownian motion-a controllability analysis. Then, an existence and uniqueness of the solution is proved based on the Banach contraction principle. By employing Schaefer's fixed point theorem, controllability of the system is studied. Finally numerical examples are presented to illustrate the theory results.
引用
收藏
页码：15 / 23
页数：9
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