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.

引用

页数：19

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