| 一类非线性分数阶微分方程三点边值问题的解 |
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| 引用本文： | 朱彦,李鑫.一类非线性分数阶微分方程三点边值问题的解[J].黑龙江科技学院学报,2012(1):93-97. |
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| 作者姓名： | 朱彦 李鑫 |
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| 作者单位： | 安徽大学数学科学学院;中国矿业大学理学院 |
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| 基金项目： | 教育部博士点基金项目(20113401110001) |
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| 摘 要： | 文中研究的是关于一类非线性分数阶微分方程三点边值问题解的存在性和唯一性。首先,给出了格林函数以及其简单性质;其次,利用Schauder不动点定理和压缩映像原理得到了该边值问题解的相关性质的两个结果;最后举例说明了这两个结果。
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| 关 键 词： | 分数阶微分方程 Green函数 不动点理论 解存在性和唯一性 |
Solutions for nonlinear fractional order 3-point boundary value problem |
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| ZHU Yan,LI Xin.Solutions for nonlinear fractional order 3-point boundary value problem[J].Journal of Heilongjiang Institute of Science and Technology,2012(1):93-97. |
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| Authors: | ZHU Yan LI Xin |
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| Institution: | 1.School of Mathematical Sciences,Anhui University,Hefei 230039,China;2.College of Sciences,China University of Mining & Technology,Xuzhou 221116,China) |
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| Abstract: | This paper is concerned with the study on the existence and uniqueness of solutions to nonlinear three-point boundary problems for a fractional differential equation.The study starts with Green’s function and its properties,followed by the existence and uniqueness of solutions obtained by means of Schauder fixed point theorem and contraction mapping principle.The study concludes with two examples to illustrate the results. |
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| Keywords: | fractional differential equations Green function fixed point theorem existence and uniqueness of solutions |
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