The existence and averaging principle for Caputo fractional stochastic delay differential systems

被引：0
作者：
Mengmeng Li
Jinrong Wang
机构：
[1] Guizhou University,Department of Mathematics
[2] Supercomputing Algorithm and Application Laboratory of Guizhou University and Gui’an Scientific Innovation Company,undefined
来源：
Fractional Calculus and Applied Analysis | 2023年 / 26卷
关键词：
Stochastic fractional delay differential systems; Delayed Mittag-Leffler type matrix function; Existence and uniqueness; Averaging principle; 34A08 (primary); 34F05; 60H10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we first establish the existence and uniqueness theorem for solutions of Caputo type fractional stochastic delay differential systems by using delayed perturbation of Mittag-Leffler function. Secondly, we obtain an averaging principle for the solution of the considered system under some suitable assumptions. Finally, two simulation examples are given to verify the theoretical results.
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页码：893 / 912
页数：19
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