| 分数阶微分方程的比较定理 |
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| 引用本文： | 胡桐春,钱德亮,李常品.分数阶微分方程的比较定理[J].应用数学与计算数学学报,2009,23(1):97-103. |
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| 作者姓名： | 胡桐春 钱德亮 李常品 |
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| 作者单位： | 1. 上海大学理学院,上海,200444;杭州科技职业技术学院公共教学部,枕州,310012
2. 上海大学理学院,上海,200444 |
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| 摘 要： | 本文给出了非线性Riemann—Liouville分数阶微分方程和Caputo分数阶微分方程与相应的非线性Volterra积分方程的等价性，并在此基础上建立了分数阶微分方程的比较定理．
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| 关 键 词： | Riemann—Liouville导数 Caputo导数 分数阶比较定理 |
Comparison Theorems of Fractional Differential Equations |
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| Hu Tongchun,Qian Deliang,Li Changpin.Comparison Theorems of Fractional Differential Equations[J].Communication on Applied Mathematics and Computation,2009,23(1):97-103. |
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| Authors: | Hu Tongchun Qian Deliang Li Changpin |
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| Institution: | Hu Tongchun, Qian Deliang Li Changpin (Sciences College, Shanghai University, Shanghai 200444, China;Department of Fundamental Courses, Hangzhou Academy of Scientific Professional Technology, Hangzhou 310012, China) |
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| Abstract: | In this paper, we show the equivalence between the nonlinear Riemann- Liouville and Caputo fractional differential equations and the Volterra integral equations, respectively. And we also establish the comparison theorems of the fractional differential equations. |
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| Keywords: | Riemann-Liouville fractional derivative Caputo fractional derivative fractional comparison theorems |
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