| 一类非线性分数阶微分方程解的存在性 |
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| 引用本文： | 张宏伟,刘冰. 一类非线性分数阶微分方程解的存在性[J]. 北京工商大学学报(自然科学版), 2009, 27(6): 72-74 |
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| 作者姓名： | 张宏伟 刘冰 |
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| 作者单位： | 河南工业大学,理学院,河南,郑州,450001 |
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| 基金项目： | 河南省自然科学基金资助项目 |
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| 摘 要： | 利用经典的Leray-Schauder择一定理和Banach压缩映射原理给出了分数阶微分方程Dρu(t)=f(t,u(t),Dβu(t))的初值问题解的存在惟一性.
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| 关 键 词： | 分数阶微分方程 初值问题 Leray-Schauder择一定理 Banach压缩映射原理 |
EXISTENCE OF SOLUTIONS FOR A CLASS NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION |
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| ZHANG Hong-wei,LIU Bing. EXISTENCE OF SOLUTIONS FOR A CLASS NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION[J]. Journal of Beijing Technology and Business University:Natural Science Edition, 2009, 27(6): 72-74 |
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| Authors: | ZHANG Hong-wei LIU Bing |
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| Affiliation: | ZHANG Hong-wei,LIU Bing(College of Sciences,Henan University of Technology,Zhengzhou,450001) |
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| Abstract: | The existence and uniqueness of the solutions for a class nonlinear factional differential equation Dρu(t)=f(t,u(t),Dβu(t)) is discussed by making use of the Leray-Schauder nonlinear alternative theorem and Banach contraction mapping principle. |
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| Keywords: | fractional differential equation initial value problem Leray-Schauder alternative theorem banach contraction mapping principle |
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