| 分式微分方程的积分因子存在定理 |
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| 引用本文： | 黄晓芬,孙艳萍,田金兵,杨立兵.分式微分方程的积分因子存在定理[J].海南师院学报,2012(2):127-128,132. |
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| 作者姓名： | 黄晓芬 孙艳萍 田金兵 杨立兵 |
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| 作者单位： | [1]海南师范大学数学与统计学院,海南海口571158 [2]昆明学院自动控制与机械工程学院,云南昆明650214 [3]海南师范大学初等教育学院,海南海口571158 [4]海南师范大学附属中学,海南海口571126 |
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| 基金项目： | 海南省自然科学基金项目（111006）;海南省自然科学基金项目（610221） |
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| 摘 要： | 证明了型如dy/dx=a1x＋b1y＋c1/a2x＋b2y＋c2的一阶分式微分方程的积分因子的存在性，并给出其积分因子，从而得到分式微分方程的通解．
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| 关 键 词： | 分式微分方程 积分因子 通解 |
The Existence Theorem of Integrating Factor of the Fractional Differential Equations |
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| HUANG Xiaofen,SUN Yanping,TIAN Jinbing,YANG Libing.The Existence Theorem of Integrating Factor of the Fractional Differential Equations[J].Journal of Hainan Normal University(Humanities and Social Sciences),2012(2):127-128,132. |
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| Authors: | HUANG Xiaofen SUN Yanping TIAN Jinbing YANG Libing |
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| Institution: | 1. College of Mathematics and Statistics, Haihan Normal University, Haikou 571158, China; 2. School of Automatic Control and Mechanical Engineering, Kunming College, Kunming 650214, China; 3. College of Elementary Education, Haihan Normal University, Haikou 571158, China; 4. The Affiliated Middle School of Haihan Normal University,Haikou 571126, China) |
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| Abstract: | This article considers the integrating factors of the fractional differential equations with order one, proves the existence of the integrating factors of this kind of equations, and get the solutions of the frectional differential equations by the integrating factor. |
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| Keywords: | Fractional Differential Equation Integrating Factor General Solution |
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