Exact controllability of fractional order evolution equations in Banach spaces

被引：6

作者：

Cheng, Yi ^{[1
]}

Gao, Shanshan ^{[1
,2
]}

Wu, Yuhu ^{[3
]}

机构：

[1] Bohai Univ, Dept Math, Jinzhou, Peoples R China

[2] Liaoning Univ Sci & Engn, Dept Informat Engn, Jinzhou, Peoples R China

[3] Dalian Univ Technol, Dept Math, Dalian, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

基金：

中国国家自然科学基金;

关键词：

Fractional order evolution equation; Caputo fractional derivative; Banach space; CAUCHY-PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS; APPROXIMATE CONTROLLABILITY; SOBOLEV TYPE; EXISTENCE; OBSERVABILITY; INCLUSIONS; SYSTEMS; DELAY;

D O I：

10.1186/s13662-018-1794-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with the exact controllability of a class of fractional evolution equations with time-varying delay. Under the nonlocal condition, the exact controllability of this system is established by applying a Leray-Schauder alternative theorem and the theory of propagation families in a Banach space. As an application, the controllability of a fractional partial differential equation is examined to show the effectiveness of our result.

引用

页数：16

共 48 条

[41] Approximate Controllability of Fractional Order Semilinear Delay Systems [J].