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

	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
刊名	APPLIED MATHEMATICS AND COMPUTATION
	2016-02-15
卷号	275 页码:107-120
关键词	Fractional evolution equations Impulsive conditions Nonlocal conditions C-0-semigroup Approximate controllability
ISSN号	0096-3003
DOI	10.1016/j.amc.2015.11.056
英文摘要	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.
资助项目	Chinese Universities Scientific Fund[CUSF-DH-D-2014061] ; Natural Science Foundation of Shanghai[15ZR1400800]
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000367522400011
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/21687]
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.