APPROXIMATE CONTROLLABILITY OF RIEMANN-LIOUVILLE FRACTIONAL STOCHASTIC EVOLUTION SYSTEMS

被引：0

作者：

Yang, He ^{[1
]}

Li, Yongxiang ^{[1
]}

机构：

[1] Northwest Normal Univ, Coll Math & Stat, Gansu Prov Res Ctr Basic Disciplines Math & Stat, Lanzhou 730070, Gansu, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Fractional stochastic evolution systems; Sobolev operator; ap-proximate controllability; nonlocal function; DIFFERENTIAL-EQUATIONS; MILD SOLUTIONS; SOBOLEV TYPE; EXISTENCE;

D O I：

10.11948/20230006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence as well as the approximate controllability of Riemann-Liouville fractional stochastic evolution systems of Sobolev type with nonlocal initial conditions in abstract spaces. When the operator semigroup is noncompact and the nonlocal function is not Lipschitz continuous and not compact, the existence as well as the approximate con-trollability of the concerned problem are investigated. Finally, an application example is given.

引用

页码：2809 / 2826

页数：18

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