APPROXIMATE CONTROLLABILITY OF FRACTIONAL EVOLUTION SYSTEMS WITH RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES

被引：142

作者：

Liu, Zhenhai ^{[1
,2
]}

Li, Xiuwen

机构：

[1] Guangxi Univ Nationalities, Guangxi Key Lab Univ Optimizat Control & Engn Cal, Nanning 530006, Guangxi Provinc, Peoples R China

[2] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Guangxi Provinc, Peoples R China

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2015年 / 53卷 / 04期

关键词：

approximate controllability; fractional evolution systems; Riemann-Liouville fractional derivatives; mild solutions; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS;

D O I：

10.1137/120903853

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we deal with the control systems governed by fractional evolution differential equations involving Riemann-Liouville fractional derivatives in Banach spaces. Our main purpose in this article is to establish suitable assumptions to guarantee the existence and uniqueness results of mild solutions. Under these conditions, the approximate controllability of the associated fractional evolution systems involving Riemann-Liouville fractional derivatives is formulated and proved.

引用

页码：1920 / 1933

页数：14

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