Approximate controllability and complete controllability of semilinear fractional functional differential systems with control

被引：1
|
作者：
Wen, Yanhua [1 ]
Zhou, Xian-Feng [1 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei, Anhui, 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 functional differential system; Approximate controllability; Complete controllability; Mild solution; EVOLUTION-EQUATIONS; INCLUSIONS; ORDER; DELAY; SPACES;
D O I：
10.1186/s13662-018-1842-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the approximate controllability and complete controllability of semilinear fractional functional differential systems with control involving Caputo fractional derivative. By using the operator semigroup theory and the fixed point theorem, we establish sufficient conditions for each of these types of controllability. The results are obtained under the assumption that the corresponding linear system is approximately controllable and completely controllable, respectively. In the end, an example is presented to illustrate the obtained theory.
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页数：18
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