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

页码：1146 / 1160

页数：15

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