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
收藏
页码：527 / 551
页数：25
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