APPROXIMATE CONTROLLABILITY OF RIEMANN-LIOUVILLE FRACTIONAL EVOLUTION EQUATIONS WITH INTEGRAL CONTRACTOR ASSUMPTION

被引：21

作者：

Zhu, Shouguo ^{[1
,2
]}

Fan, Zhenbin ^{[1
]}

Li, Gang ^{[1
]}

机构：

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

[2] Nanjing Normal Univ, Sch Math, Taizhou Coll, Taizhou 225300, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2018年 / 8卷 / 02期

关键词：

Approximate controllability; Riemann-Liouville fractional derivatives; resolvent; regular integral contractor; SEMILINEAR CONTROL-SYSTEMS; INFINITE DELAY; EXISTENCE; RESOLVENTS;

D O I：

10.11948/2018.532

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose and investigate an evolution system with a Riemann-Liouville fractional derivative. With the aid of a resolvent method, we formulate a suitable notion of solutions to this system and demonstrate the corresponding existence and uniqueness of solutions under a regular integral contractor condition. Furthermore, by applying a space decomposition technique, we exhibit the approximate controllability result of the system. This paper closes with a simple example, which confirms our analytical findings.

引用

页码：532 / 548

页数：17

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