Approximate controllability of semilinear evolution equations of fractional order with nonlocal and impulsive conditions via an approximating technique

doi:10.1016/j.amc.2015.11.056

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	Approximate controllability of semilinear evolution equations of fractional order with nonlocal and impulsive conditions via an approximating technique
	Ge, Fu-Dong 1; Zhou, Hua-Cheng 2; Kou, Chun-Hai 3
	2016-02-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	275 页码:107-120
摘要	This paper is concerned with the approximate controllability of the semilinear fractional evolution equations with nonlocal and impulsive conditions. Our main results are obtained by utilizing the technique of approximate solution and the theory of fixed point. In addition, the impulsive functions in this paper are supposed to be continuous and the nonlocal item is divided into two cases: Lipschitz continuous and only continuous, which generalizes the previous contributions. Finally two examples are worked out to illustrate our obtained results. (C) 2015 Elsevier Inc. All rights reserved.
关键词	Fractional evolution equations Impulsive conditions Nonlocal conditions C-0-semigroup Approximate controllability
DOI	10.1016/j.amc.2015.11.056
语种	英语
资助项目	Chinese Universities Scientific Fund[CUSF-DH-D-2014061] ; Natural Science Foundation of Shanghai[15ZR1400800]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000367522400011
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21688
专题	中国科学院数学与系统科学研究院
通讯作者	Zhou, Hua-Cheng
作者单位	1.Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China
推荐引用方式 GB/T 7714	Ge, Fu-Dong,Zhou, Hua-Cheng,Kou, Chun-Hai. Approximate controllability of semilinear evolution equations of fractional order with nonlocal and impulsive conditions via an approximating technique[J]. APPLIED MATHEMATICS AND COMPUTATION,2016,275:107-120.
APA	Ge, Fu-Dong,Zhou, Hua-Cheng,&Kou, Chun-Hai.(2016).Approximate controllability of semilinear evolution equations of fractional order with nonlocal and impulsive conditions via an approximating technique.APPLIED MATHEMATICS AND COMPUTATION,275,107-120.
MLA	Ge, Fu-Dong,et al."Approximate controllability of semilinear evolution equations of fractional order with nonlocal and impulsive conditions via an approximating technique".APPLIED MATHEMATICS AND COMPUTATION 275(2016):107-120.