| 一个分数阶微分方程四点边值问题正解的存在性 |
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| 引用本文： | 刘静,费祥历,许晓婕,孙晓雪.一个分数阶微分方程四点边值问题正解的存在性[J].数学理论与应用,2012(4):33-41. |
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| 作者姓名： | 刘静 费祥历 许晓婕 孙晓雪 |
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| 作者单位： | 中国石油大学（华东）理学院计算与应用数学系,青岛266555 |
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| 摘 要： | 本文研究下面的分数阶微分方程四点边值问题Dα0+u(t)+f(t,u(t))=0,0
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| 关 键 词： | 分数阶微分方程 四点边值问题 正解 锥不动点定理 |
Existence of Positive Solutions for Four Points Boundary Value Problems of a Nonlinear Fractional Differential Equation |
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| Liu Jing Fei Xiangli Xu Xiaojie Sun Xiaoxue.Existence of Positive Solutions for Four Points Boundary Value Problems of a Nonlinear Fractional Differential Equation[J].Mathematical Theory and Applications,2012(4):33-41. |
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| Authors: | Liu Jing Fei Xiangli Xu Xiaojie Sun Xiaoxue |
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| Institution: | Liu Jing Fei Xiangli Xu Xiaojie Sun Xiaoxue (School of Mathematics and Computational Science, China University of Petroleum( East China), Qingdao 266555, P. R. China) |
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| Abstract: | In this paper, the propertis of the Green function is discussed, the existence of of positive solution for four points boundary value problems of a nonlinear fractionaldifferential equation are obtained, where 2 〈 α≤ 3,0 ≤ξ≤η≤1,0≤β, γ≤1,D0n is the standard Caputo differentiation. |
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| Keywords: | Fractional Differen Tial Equation Four Points Boundary Value Problem Positive Solution Fixed -point Theorem in Cone |
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