| 一类Dirichlet型非线性分数阶微分方程边值问题的正解 |
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| 引用本文： | 张丽娟,胡卫敏.一类Dirichlet型非线性分数阶微分方程边值问题的正解[J].东北师大学报(自然科学版),2012,44(2):31-35. |
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| 作者姓名： | 张丽娟 胡卫敏 |
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| 作者单位： | 1. 白城师范学院数学系,吉林白城,137000
2. 伊犁师范学院数学与统计学院,应用数学研究所,新疆伊宁835000 |
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| 基金项目： | 国家自然科学基金资助项目，新疆普通高校重点培养学科基金资助项目 |
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| 摘 要： | 主要研究了格林函数的正性,同时利用锥压缩和锥拉伸不动点定理证明了一类Dirichlet型非线性分数阶微分方程边值问题正解的存在性.
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| 关 键 词： | 分数阶微分方程 边值问题 Guo-Krasnosel'skii不动点定理 正解 格林函数 |
Positive solution for Dirichlet-type boundary value problem of nonlinear fractional differential equation |
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| ZHANG Li-juan
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HU Wei-min.Positive solution for Dirichlet-type boundary value problem of nonlinear fractional differential equation[J].Journal of Northeast Normal University (Natural Science Edition),2012,44(2):31-35. |
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| Authors: | ZHANG Li-juan HU Wei-min |
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| Institution: | 1.Department of Mathematics,Baicheng Normal University,Baicheng 137000,China; 2.School of Mathematics and Statistics,Ili Normal University,Institute of Applied Mathematics,Yining 835000,China) |
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| Abstract: | In this paper,discuss some positive properties of the Green function and show existence of positive solutions to boundary value problem of nonlinear Dirichlet-type fractional differential equation.The proof relies on fixed point theorem of cone. |
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| Keywords: | fractional differential equation boundary value problem Guo-Krasnosel’skii fixed point theorem positive solution Green’s function |
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