Controllability for Retarded Semilinear Neutral Control Systems of Fractional Order in Hilbert Spaces

被引：0
作者：
Kim, Daewook [1 ]
Jeong, Jin-Mun [2 ]
机构：
[1] Seowon Univ, Dept Math Educ, Cheongju 28674, South Korea
[2] Pukyong Natl Univ, Dept Appl Math, Busan 48513, South Korea
来源：
MATHEMATICS | 2021年 / 9卷 / 06期
基金：
新加坡国家研究基金会;
关键词：
approximate controllability; fractional order differential equation; retarded neutral system; semilinear system;
D O I：
10.3390/math9060671
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we discuss the approximate controllability for a class of retarded semilinear neutral control systems of fractional order by investigating the relations between the reachable set of the semilinear retarded neutral system of fractional order and that of its corresponding linear system. The research direction used here is to find the conditions for nonlinear terms so that controllability is maintained even in perturbations. Finally, we will show a simple example to which the main result can be applied.
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页数：17
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