Riemann-Liouville fractional stochastic evolution equations driven by both Wiener process and fractional Brownian motion

被引：10
|
作者：
Yang, Min [1 ]
Gu, Haibo [2 ]
机构：
[1] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Peoples R China
[2] Xinjiang Normal Univ, Sch Math Sci, Urumqi 830017, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2021年 / 2021卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Riemann-Liouville fractional derivative; Stochastic evolution equations; Fractional Brownian motion; Mild solution; DIFFERENTIAL-EQUATIONS; CAUCHY-PROBLEMS; EXISTENCE;
D O I：
10.1186/s13660-020-02541-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article is devoted to the study of the existence and uniqueness of mild solution to a class of Riemann-Liouville fractional stochastic evolution equations driven by both Wiener process and fractional Brownian motion. Our results are obtained by using fractional calculus, stochastic analysis, and the fixed-point technique. Moreover, an example is provided to illustrate the application of the obtained abstract results.
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收藏
页数：19
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