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非线性分数阶微分方程非奇异边值问题的多重正解
引用本文:于瑶,许晓婕.非线性分数阶微分方程非奇异边值问题的多重正解[J].数学的实践与认识,2011,41(24).
作者姓名:于瑶  许晓婕
作者单位:1. 大连教育学院,辽宁 大连,116021
2. 中国石油大学(华东)数学计算科学学院,山东 东营,257061
基金项目:国家自然科学基金(10971021)
摘    要:通过研究非线性分数阶微分方程边值问题D_(0+)~αu(t)+y(t,u(t))=0,0
关 键 词:分数阶微分方程  非奇异边值问题  正解  分数阶格林函数  不动点定理

Multiple Positive Solutions for The Nonsingular Boundary Value Problem of A Nonlinear Fractional Differential Equation
YUYao , XU Xiao-jie.Multiple Positive Solutions for The Nonsingular Boundary Value Problem of A Nonlinear Fractional Differential Equation[J].Mathematics in Practice and Theory,2011,41(24).
Authors:YUYao  XU Xiao-jie
Institution:YUYao~1,XU Xiao-jie~2 (1.Dalian Education University,Dalian 116021,China) (2.School of Mathematics and Computational Science,China University of Petroleum(east China),Dongying 257061,China)
Abstract:In this paper,we consider Green's function and its properties for the nonlinear fractional differential equation boundary value problem D_0~α+u(t) + f(t,u(t))=0,0
Keywords:fractional differential equation  nonsingular boundary-value problem  positive solution  fractional Green's function  fixed-point theorem  
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