| 分数阶微分方程耦合奇异系统解的存在性 |
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| 引用本文： | 王翠菁,张金陵.分数阶微分方程耦合奇异系统解的存在性[J].常熟理工学院学报,2011,25(10):28-34. |
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| 作者姓名： | 王翠菁 张金陵 |
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| 作者单位： | 中国矿业大学理学院,江苏徐州,221008 |
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| 摘 要： | 讨论非线性分数阶微分方程耦合系统三点奇异边值问题,应用Green函数,将其转化为等价的积分方程耦合系统,利用Schauder不动点定理,考察了解的存在性.
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| 关 键 词： | 三点边值 Schauder不动点定理 耦合系统 |
Existence of Solutions for a Singular Coupled System of Fractional Differential Equations |
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| WANG Cui-jing,ZHANG Jin-ling.Existence of Solutions for a Singular Coupled System of Fractional Differential Equations[J].Journal of Changshu Institute of Technology,2011,25(10):28-34. |
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| Authors: | WANG Cui-jing ZHANG Jin-ling |
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| Institution: | 1,3 (1.College of Science, China University of Mining & Technology, Xuzhou 221008, China; 2. College of Information Management & Technology, Xuzhou College of Industrial Technology, Xuzhou 221140, China; 3. Department of Math and Physics, Xuzhou Normal School, Xuzhou 221116, China) |
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| Abstract: | This paper discussed the existence of positive solution for a singular coupled system of nonlinear fractional differential equations with three-point boundary conditions. The existence of solutions relies on the Schauder fixed point theorem and the reduction of the considered problem to the equivalent coupled system of integral equations. |
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| Keywords: | three-point boundary Schauder fixed point theorem coupled system |
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