| 一类分数阶微分方程初值问题解的存在性 |
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| 引用本文： | 李秋萍,孙书荣,韩振来,赵以阁.一类分数阶微分方程初值问题解的存在性[J].滨州学院学报,2010,26(6). |
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| 作者姓名： | 李秋萍 孙书荣 韩振来 赵以阁 |
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| 基金项目： | 山东省自然科学基金资助项目，济南大学博士基金资助项目，济南大学研究生创新基金资助项目 |
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| 摘 要： | 利用Schauder不动点定理,研究了一类阶数在(1,2)上的分数阶微分方程初值问题解的存在性,得到该问题至少存在一个解的充分条件.
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| 关 键 词： | Riemann-Liouville分数阶导数 分数阶微分方程 Schauder不动定理 初值问题 |
Existence of Solution for Initial Value Problem of Fractional Differential Equations |
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| LI Qiu-ping,SUN Shu-rong,HAN Zhen-lai,ZHAO Yi-ge.Existence of Solution for Initial Value Problem of Fractional Differential Equations[J].Journal of Binzhou University,2010,26(6). |
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| Authors: | LI Qiu-ping SUN Shu-rong HAN Zhen-lai ZHAO Yi-ge |
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| Abstract: | By using Schauder fixed point theorem,the existence of solution of initial value problem for fractional order differential equations with the order in the range of(1,2) is studied,and a sufficient condition is obtained for the existence of at least one solution of this problem. |
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| Keywords: | Riemann-Liouville fractional derivative fractional differential equation Schauder fixed point theorem initial value problem |
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