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-  2015 

(n-1,1)-型分数阶共轭边值问题的正解
POSITIVE SOLUTIONS FOR (n-1, 1)-TYPE FRACTIONAL CONJUGATE BOUNDARY VALUE PROBLEM

Keywords: 分数阶边值问题 Green函数 正解 不动点定理
fractional boundary value problem Green function positive solution fixed point theorem

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Abstract:

本文研究了(n -1, 1)-型分数阶共轭边值问题正解的存在性与多解性问题.利用Krasnoselskii-Zabreiko不动点定理,结合与Green函数相关的不等式,获得了几个存在性结果,推广了一些现有的结果.
This paper studies the existence and multiplicity of positive solutions for (n-1, 1)-type fractional conjugate boundary value problem. By virtue of Krasnoselskii-Zabreiko fixed point theorem, several results are formulated in terms of some inequalities associated with Green's function. The results obtained here improve some existing results in the literature

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