Approximate controllability of impulsive fractional neutral evolution equations with Riemann-Liouville fractional derivatives

被引：0

作者：

Liu, Xianghu ^{[1
]}

Liu, Zhenhai ^{[2
]}

Bin, Maojun ^{[2
]}

机构：

[1] Cent S Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China

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

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2014年 / 17卷 / 03期

关键词：

Impulsive fractional evolution equations; Riemann-Liouville fractional derivatives; PC1-alpha-mild solutions; Approximate controllability; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; BANACH-SPACES; SYSTEMS; INCLUSIONS; EXISTENCE; DELAY;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we study the control systems of impulsive fractional neutral evolution differential equations involving Riemann-Liouville fractional derivatives in Banach spaces. Firstly, we establish the PC1-alpha-mild solution for the impulsive fractional neutral evolution differential equations. Secondly, some assumptions is made to guarantee the existence and uniqueness results of mild solutions. And under this condition, the approximate controllability of the associated impulsive fractional neutral evolution systems are formulated and proved. An example is provided to illustrate the application of the obtained theory.

引用

页码：468 / 485

页数：18

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