| 两点分数阶微分方程耦合系统边值问题的解 |
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| 引用本文： | 曹竞文,胡卫敏. 两点分数阶微分方程耦合系统边值问题的解[J]. 江汉大学学报(自然科学版), 2014, 0(3): 23-26 |
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| 作者姓名： | 曹竞文 胡卫敏 |
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| 作者单位： | 伊犁师范学院数学与统计学院,新疆伊宁835000 |
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| 基金项目： | 新疆维吾尔自治区自然科学基金项目（201318101-14） |
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| 摘 要： | 讨论一类非线性分数阶微分方程耦合系统的两点边值问题,应用Green函数将微分系统转化为等价的积分系统,应用不动点定理证明系统正解的存在性和唯一性,并给出系统无解的充分条件。
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| 关 键 词： | 分数阶微分方程 耦合系统 边值问题 不动点定理 |
Solution for Two-point Boundary Value Problems of Fractional Differential Equation of Coupling System |
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| CAO Jingwen,HU Weimin. Solution for Two-point Boundary Value Problems of Fractional Differential Equation of Coupling System[J]. Journal of Jianghan University(Natural Sciences), 2014, 0(3): 23-26 |
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| Authors: | CAO Jingwen HU Weimin |
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| Affiliation: | (College of Mathematics and Statistics, Yili Normal University, Yining 835000, Xingjiang, China) |
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| Abstract: | Discusses a class of the two-point boundary value problems of nonlinear fractional differ-ential equation of coupling system,using the Green function,differential system can be converted toequivalent integral system,with the fixed point theorem,the existence and uniqueness of positivesolutions for system are abtained,sufficient conditions of no solutions are given. |
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| Keywords: | fractional differential equation coupled system boundary value problem fixed point theorem |
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