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半直线上一类分数阶耦合系统边值问题解的存在性
引用本文:朱思念,王刚.半直线上一类分数阶耦合系统边值问题解的存在性[J].淮阴师范学院学报(自然科学版),2011,10(2):99-105.
作者姓名:朱思念  王刚
作者单位:中国矿业大学理学院,江苏徐州,221008
摘    要:讨论了一类半直线上分数阶耦合系统边值问题解的存在性,其中非线性项含有分数阶导数,通过建立合适的相对紧的判定准则,结合Schauder不动点定理,得到了解的存在性.

关 键 词:分数阶  无穷区间  不动点定理  边值问题

Existence Result for a Coupled System of Fractional Order Boundary Value Problem on the Half-line
ZHU Si-nian,WANG Gang.Existence Result for a Coupled System of Fractional Order Boundary Value Problem on the Half-line[J].Journal of Huaiyin Teachers College(Natrual Science Edition),2011,10(2):99-105.
Authors:ZHU Si-nian  WANG Gang
Institution:(College of Science China University Mining and Technology,Xuzhou Jiangsu 221008,China)
Abstract:This paper deals with a boundary value problem of fractional order differential equation with the nonlinear term dependent on a fractional derivative of lower order on the semi-infinite interval.An appropriate criteria is established,such that we can use Schauder fixed point theorem to obtain the existence result for solution.
Keywords:fractional order  infinite interval  fixed point theorem  boundary value problem
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