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On a new class of impulsive fractional evolution equations

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成果类型:
期刊论文
作者:
Fu, Xi;Liu, Xiaoyou*;Lu, Bowen
通讯作者:
Liu, Xiaoyou
作者机构:
[Lu, Bowen; Fu, Xi] Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China.
[Liu, Xiaoyou] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
[Lu, Bowen] Zhejiang Int Studies Univ, Sch Int Business, Hangzhou 310012, Zhejiang, Peoples R China.
通讯机构:
[Liu, Xiaoyou] U
Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
语种:
英文
关键词:
fractional evolution equations;impulses;PC-mild solutions;Cauchy problems;nonlocal problems
期刊:
Advances in Difference Equations
ISSN:
1687-1839
年:
2015
卷:
2015
期:
1
页码:
1-16
基金类别:
Hunan Provincial Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province [2015JJ6095]; Zhejiang Provincial Natural Science Foundation of ChinaNatural Science Foundation of Zhejiang Province [LQ14A010006]; Doctor Priming Fund Project of University of South China [2013XQD16]
机构署名:
本校为通讯机构
院系归属:
数理学院
摘要:
This paper is concerned with the existence of PC-mild solutions for Cauchy and nonlocal problems of impulsive fractional evolution equations for which the impulses are not instantaneous. By using the theory of operator semigroups, probability density functions, and some suitable fixed point theorems, we establish some existe...

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