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Some boundary value problems of fractional differential equations with fractional impulsive conditions

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成果类型:
期刊论文
作者:
Xu, Youjun;Liu, Xiaoyou*
通讯作者:
Liu, Xiaoyou
作者机构:
[Liu, Xiaoyou; Xu, Youjun] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, 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 differential equations;Impulse;Mixed boundary conditions;Closed boundary conditions;Existence
期刊:
Journal of Computational Analysis and Applications
ISSN:
1521-1398
年:
2015
卷:
19
期:
3
页码:
426-443
基金类别:
NNSFCNational Natural Science Foundation of China (NSFC) [11126170]; Hunan Provincial Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province [11JJ4006]; University of South China [5-2011-XQD-008, 2013XQD16]
机构署名:
本校为第一且通讯机构
院系归属:
数理学院
摘要:
This paper is concerned with the existence of solutions for nonlinear impulsive fractional differential equations with families of mixed and closed boundary conditions. In both cases, the fractional derivative of lower order is involved in the formulation of impulsive conditions. By means of the Banach fixed point theorem, Schaefer fixed point theorem and Nonlinear alternative of Leray-Sthauder type, some existence results are obtai...

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