| 非线性分数阶微分系统边值问题正解的存在性 |
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| 引用本文： | 史小艺,陈春香,黄玲君. 非线性分数阶微分系统边值问题正解的存在性[J]. 四川理工学院学报(自然科学版), 2011, 24(5): 583-586 |
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| 作者姓名： | 史小艺 陈春香 黄玲君 |
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| 作者单位： | 中国矿业大学理学院,江苏徐州,221116 |
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| 基金项目： | 中央高校基本科研业务费专项基金 |
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| 摘 要： | 研究了一类非线性分数阶微分系统边值问题正解的存在性,通过利用上下解方法以及schauder不动点定理,得到了该微分系统边值问题正解存在的充分条件。
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| 关 键 词： | 非线性 分数阶微分系统 边值问题 上下解方法 正解 存在性 |
Existence of Solution to Boundary Value Problems for a System of Nonlinear Fractional Differential Equations |
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| SHI Xiaoyi,CHEN Chun-xiang,HUANG Ling-jun. Existence of Solution to Boundary Value Problems for a System of Nonlinear Fractional Differential Equations[J]. Journal of Sichuan University of Science & Engineering(Natural Science Editton), 2011, 24(5): 583-586 |
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| Authors: | SHI Xiaoyi CHEN Chun-xiang HUANG Ling-jun |
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| Affiliation: | 1(College of Sciences,China University of Mining & Technology,Jiangsu 221116,China) |
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| Abstract: | The existence of solution to boundary value problems for a system of nonlinear fractional differential equations is investigated.Based upon upper and lower solution method and the fixed-point theorem sufficient condition of the problem is obtained. |
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| Keywords: | nonlinear fractional differential equations system boundary-value problem upper and lower solution method positive solution existence |
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