| 带积分边值条件的分数阶微分方程解的存在性和唯一性 |
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| 引用本文： | 刘帅,贾梅,秦小娜.带积分边值条件的分数阶微分方程解的存在性和唯一性[J].上海理工大学学报,2014,36(5):409-415,442. |
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| 作者姓名： | 刘帅 贾梅 秦小娜 |
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| 作者单位： | 上海理工大学 理学院,上海,200093 |
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| 基金项目： | 国家自然科学基金资助项目(11171220);上海市教委科研创新基金重点资助项目(10ZZ93) |
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| 摘 要： | 研究了一类带积分边值条件的分数阶微分方程边值问题解的存在性和唯一性,并利用Schauder不动点定理以及压缩映像原理,得到了边值问题解的存在性及唯一性结论.
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| 关 键 词： | 积分边值条件 不动点定理 存在性和唯一性 |
| 收稿时间： | 2013/7/21 0:00:00 |
Existence and Uniqueness of Solutions of the Fractional Differential Equation with Integral Boundary Value Conditions |
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| LIU Shuai,JIA Mei and QIN Xiao-na.Existence and Uniqueness of Solutions of the Fractional Differential Equation with Integral Boundary Value Conditions[J].Journal of University of Shanghai For Science and Technology,2014,36(5):409-415,442. |
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| Authors: | LIU Shuai JIA Mei and QIN Xiao-na |
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| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | The existence and uniqueness of solutions were studied for a class of fractional differential equations with integral boundary value conditions.The conclusions about the existence and uniqueness of solutions were obtained by using the Schauder fixed point theorem and the Banach contraction principle. |
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| Keywords: | integral boundary value condition fixed point theorem existence and uniqueness |
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