EXISTENCE AND UNIQUENESS OF RANDOM NONLOCAL DIFFERENTIAL EQUATIONS WITH COLORED NOISE

被引：0
|
作者：
Liu, R. U. O. N. A. N. [1 ]
机构：
[1] Xuzhou Univ Technol, Sch Math & Stat, Xuzhou 221018, Jiangsu, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2024年 / 17卷 / 03期
关键词：
Caputo time fractional derivative; Gronwall inequality; singular kernel; colored noise; ASYMPTOTIC-BEHAVIOR;
D O I：
10.3934/dcdss.2023143
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence and uniqueness of one kind of random differential equations with a Caputo fractional time derivative driven by colored noise are investigated by using approximating sequences. To this end, a general-ized Gronwall inequality containing singular kernel which is first proved as an auxiliary tool to handle random time fractional differential equations, which is based on the ideas mentioned in [5].
引用
收藏
页码：1146 / 1160
页数：15
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