Existence and Stability of Square-Mean S-Asymptotically Periodic Solutions to a Fractional Stochastic Diffusion Equation with Fractional Brownian Motion

被引：1
|
作者：
Mu, Jia [1 ,2 ]
Nan, Jiecuo [2 ]
Zhou, Yong [3 ,4 ]
机构：
[1] Northwest Minzu Univ, Key Lab Streaming Data Comp Technol & Applicat, Lanzhou 730000, Peoples R China
[2] Northwest Minzu Univ, Sch Math & Comp Sci, Lanzhou 730000, Peoples R China
[3] Xiangtan Univ, Sch Math & Comp Sci, Xiangtan 411105, Hunan, Peoples R China
[4] King Abdulaziz Univ, Nonlinear Anal & Appl Math Res Grp, Fac Sci, Jeddah 21589, Saudi Arabia
来源：
COMPLEXITY | 2020年 / 2020卷
基金：
中国国家自然科学基金;
关键词：
EVOLUTION-EQUATIONS; EXPONENTIAL STABILITY; MOMENT STABILITY; HURST PARAMETER; DRIVEN; BEHAVIOR; SYSTEMS; REGULARITY; CALCULUS; DELAY;
D O I：
10.1155/2020/1045760
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a generalized Gronwall inequality is demonstrated, playing an important role in the study of fractional differential equations. In addition, with the fixed-point theorem and the properties of Mittag-Leffler functions, some results of the existence as well as asymptotic stability of square-meanS-asymptotically periodic solutions to a fractional stochastic diffusion equation with fractional Brownian motion are obtained. In the end, an example of numerical simulation is given to illustrate the effectiveness of our theory results.
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页数：15
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