NONLOCAL PROBLEM FOR FRACTIONAL STOCHASTIC EVOLUTION EQUATIONS WITH SOLUTION OPERATORS

被引：35
|
作者：
Chen, Pengyu [1 ]
Zhang, Xuping [1 ]
Li, Yongxiang [1 ]
机构：
[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2016年 / 19卷 / 06期
基金：
美国国家科学基金会;
关键词：
fractional stochastic evolution equations; nonlocal conditions; alpha-order fractional solution operator; alpha-resolvent family; existence; Wiener process; PARTIAL-DIFFERENTIAL-EQUATIONS; MILD SOLUTIONS; INTEGRODIFFERENTIAL EQUATIONS; EXPONENTIAL STABILITY; FIXED-POINTS; EXISTENCE; CONTROLLABILITY; REGULARITY; UNIQUENESS;
D O I：
10.1515/fca-2016-0078
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we are concerned with a class of fractional stochastic evolution equations with nonlocal initial conditions in Hilbert spaces. The existence of mild solutions is obtained under the situation that the nonlinear term satisfies some appropriate growth conditions by using fractional calculations, Schauder fixed point theorem, stochastic analysis theory, alpha-order fractional solution operator theory and alpha-resolvent family theory. The results obtained in this paper improve and extend some related conclusions on this topic. An example is also given to illustrate the feasibility of our abstract result.
引用
收藏
页码：1507 / 1526
页数：20
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