APPROXIMATE CONTROLLABILITY FOR SEMILINEAR COMPOSITE FRACTIONAL RELAXATION EQUATIONS

被引：21

作者：

Fan, Zhenbin ^{[1
,2
]}

Dong, Qixiang ^{[1
]}

Li, Gang ^{[1
]}

机构：

[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China

[2] Changshu Inst Technol, Dept Math, Suzhou 215500, Jiangsu, Peoples R China

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2016年 / 19卷 / 01期

关键词：

approximate controllability; optimal control; composite fractional relaxation equations; DIFFERENTIAL-EQUATIONS; EVOLUTION-EQUATIONS; SYSTEM;

D O I：

10.1515/fca-2016-0015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a control system governed by a semilinear composite fractional relaxation equation in Hilbert space. We first prove that the system has a mild solution. Then, we investigate the approximate controllability of the relaxation equation under the assumption that the corresponding linear system is approximately controllable. An example is also given to illustrate our results.

引用

页码：267 / 284

页数：18

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