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Existence of positive solutions to a boundary value problem for a delayed nonlinear fractional differential system

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成果类型:
期刊论文
作者:
Ouyang, Zigen*;Chen, Yuming;Zou, Shuliang
通讯作者:
Ouyang, Zigen
作者机构:
[Ouyang, Zigen] Univ S China, Sch Math & Phys, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.
[Chen, Yuming] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada.
通讯机构:
[Ouyang, Zigen] U
Univ S China, Sch Math & Phys, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.
语种:
英文
关键词:
Ordinary Differential Equation;Fractional Order;Fractional Derivative;Fixed Point Theorem;Fractional Differential Equation
期刊:
BOUNDARY VALUE PROBLEMS
ISSN:
1687-2770
年:
2011
卷:
2011
期:
1
页码:
1-17
基金类别:
Supported partially by the Doctor Foundation of University of South China under Grant no. 5-XQD-2006-9, the Foundation of Science and Technology Department of Hunan Province under Grant no. 2009RS3019 and the Subject Lead Foundation of University of South China no. 2007XQD13. Research was partially supported by the Natural Science and Engineering Re-search Council of Canada (NSERC) and the Early Researcher Award (ERA) Pro-gram of Ontario.
机构署名:
本校为第一且通讯机构
院系归属:
核科学技术学院
数理学院
摘要:
Though boundary value problems for fractional differential equations have been extensively studied, most of the studies focus on scalar equations and the fractional order between 1 and 2. On the other hand, delay is natural in practical systems. However, not much has been done for fractional differential equations with delays. Therefore, in this paper, we consider a boundary value problem of a general delayed nonlinear fractional system. With the help of some fixed point theorems and the properties of the Green function, we establish several sets of sufficient conditions on the existence of po...

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