APPROXIMATE CONTROLLABILITY OF IMPULSIVE RIEMANN-LIOUVILLE FRACTIONAL EQUATIONS IN BANACH SPACES

被引：18

作者：

Liu, Zhenhai ^{[1
,2
]}

Bin, Maojun ^{[2
]}

机构：

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

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

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2014年 / 26卷 / 04期

关键词：

Impulsive fractional evolution equations; Riemann-Liouville fractional derivatives; PC1-alpha-mild solutions; approximate controllability; DIFFERENTIAL-EQUATIONS; INITIAL CONDITIONS; INCLUSIONS; SYSTEMS; EXISTENCE;

D O I：

10.1216/JIE-2014-26-4-527

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study control systems governed by impulsive Riemann-Liouville fractional differential equations in Banach spaces. Firstly,we introduce PC1-alpha-mild solutions for impulsive Riemann-Liouville fractional differential equations. Then,we make a set of assumptions to guarantee the existence and uniqueness of mild solutions. Finally,approximate controllability of the associated impulsive Riemann-Liouville fractional evolution control systems is also formulated and proved

引用

页码：527 / 551

页数：25

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