Existence and uniqueness of solutions for stochastic differential equations of fractional-order q > 1 with finite delays

被引：0

作者：

Zhang, Xianmin ^{[1
]}

Agarwal, Praveen ^{[2
]}

Liu, Zuohua ^{[3
]}

Peng, Hui ^{[1
]}

You, Fang ^{[1
]}

Zhu, Yajun ^{[1
]}

机构：

[1] Jiujiang Univ, Sch Elect Engn, Jiujiang 332005, Jiangxi, Peoples R China

[2] Anand Int Coll Engn, Dept Math, Jaipur 303012, Rajasthan, India

[3] Chongqing Univ, Sch Chem & Chem Engn, Chongqing 400044, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

基金：

中国国家自然科学基金;

关键词：

stochastic differential equations; stochastic fractional differential equations; existence of solutions; fractional order; GENERAL-SOLUTION; STABILITY;

D O I：

10.1186/s13662-017-1169-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with stochastic differential equations of fractional-order q is an element of (m 1, m) (where m is an element of Z and m >= 2) with finite delay at a space BC([-tau, 0]; R-d). Some sufficient conditions are obtained for the existence and uniqueness of solutions for these stochastic fractional differential systems by applying the Picard iterations method and the generalized Gronwall inequality.

引用

页数：18

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