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一个分数阶微分方程四点边值问题正解的存在性
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, 0(4): 33-41
作者姓名:刘静  费祥历  许晓婕  孙晓雪
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
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
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
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, 0(4): 33-41
Authors:Liu Jing Fei Xiangli Xu Xiaojie Sun Xiaoxue
Affiliation: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)
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.
Keywords:Fractional Differen Tial Equation Four Points Boundary Value Problem Positive Solution Fixed -point Theorem in Cone
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