| 两次分数阶微分方程解的存在性 |
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| 引用本文： | 王琳,欧阳自根,钟记超.两次分数阶微分方程解的存在性[J].南华大学学报(自然科学版),2010,24(4):69-73. |
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| 作者姓名： | 王琳 欧阳自根 钟记超 |
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| 作者单位： | 南华大学 数理学院,湖南 衡阳 421001 |
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| 基金项目： | 湖南省自然科学基金资助项目，南华大学学科带头人基金资助项目，南华大学博士启动基金资助项目 |
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| 摘 要： | 研究一类在巴拿赫空间中两次分数阶微分方程解的存在性,利用压缩映射原理和Leray-Scauder 不动点定理,得到了解存在的充分条件.最后给出例子用来阐明结论.
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| 关 键 词： | 分数阶微分方程 存在性 唯一性 压缩映射原理 Leray-Scauder 不动点定理 |
| 收稿时间： | 2010/8/30 0:00:00 |
Some Existence Results for the Both Operators of Fractional Order Differentiation Equation |
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| WANG Lin,OUYANG Zi-gen,ZHONG Ji-chao.Some Existence Results for the Both Operators of Fractional Order Differentiation Equation[J].Journal of Nanhua University:Science and Technology,2010,24(4):69-73. |
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| Authors: | WANG Lin OUYANG Zi-gen ZHONG Ji-chao |
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| Institution: | School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China |
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| Abstract: | A class of the both operators of fractional order differentiation was investigated in a Banach Space in this paper.Based on the contraction mapping principle and Leray-Schauder fixed point theorem,it obtained some sufficient conditions for the existence of the solutions.Example was inserted to illustrate this results. |
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| Keywords: | fractional order differential equations existence uniqueness Leray-Schauder fixed point theorem contraction mapping principle |
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