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.
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页数：16
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