| 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.[WANG Lin,OUYANG Zi-gen*,ZHONG Ji-chao.Some Existence Results for the Both Operators of Fractional Order Differentiation Equation[J].Journal of University of South China(Science and Technology),2010,24(4):69~73.] |
| 两次分数阶微分方程解的存在性 |
| Some Existence Results for the Both Operators of Fractional Order Differentiation Equation |
| 投稿时间：2010-08-30 |
| DOI： |
| 中文关键词: 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 |
| 英文关键词:fractional order differential equations existence uniqueness Leray-Schauder fixed point theorem contraction mapping principle |
| 基金项目:湖南省自然科学基金资助项目（07JJ3130）;南华大学学科带头人基金资助项目（2007XQD13）;南华大学博士启动基金资助项目（5-XQD-2006-9） |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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