| 非线性分数阶微分方程耦合系统三点边值问题解的存在性 |
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| 引用本文： | 姜小霞,欧阳自根,彭湘凌.非线性分数阶微分方程耦合系统三点边值问题解的存在性[J].南华大学学报(自然科学版),2015,29(1):94-99. |
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| 作者姓名： | 姜小霞 欧阳自根 彭湘凌 |
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| 作者单位： | 南华大学数理学院 |
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| 摘 要： | 讨论了非线性分数阶微分方程耦合系统的三点边值问题,利用Green函数的性质,将其转化为等价的积分方程耦合系统,应用Schauder不动点定理得到解的存在的充分条件.
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| 关 键 词： | 耦合系统 边值问题 Riemann-Liouville分数阶导数 Schauder不动点定理 |
| 收稿时间： | 2014/5/26 0:00:00 |
Existence of the Solutions for a Coupled Systems of NonlinearFractional Order with Three-point Boundary Value Problem |
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| JIANG Xiao-xi,OUYANG Zi-gen and PENG Xiang-ling.Existence of the Solutions for a Coupled Systems of NonlinearFractional Order with Three-point Boundary Value Problem[J].Journal of Nanhua University:Science and Technology,2015,29(1):94-99. |
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| Authors: | JIANG Xiao-xi OUYANG Zi-gen and PENG Xiang-ling |
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| Institution: | JIANG Xiao-xia;OUYANG Zi-gen;PENG Xiang-ling;School of Mathematics and Physics,University of South China; |
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| Abstract: | |
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| Keywords: | coupled system boundary value problem Riemann-Liouville fractional derivative Schauder fixed-point theorem |
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