| 非线性分数阶微分方程边值问题正解的存在唯一性 |
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| 引用本文： | 古传运,胡攀. 非线性分数阶微分方程边值问题正解的存在唯一性[J]. 达县师范高等专科学校学报, 2014, 0(2): 11-15 |
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| 作者姓名： | 古传运 胡攀 |
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| 作者单位： | 四川文理学院数学与财经学院,四川达州635000 |
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| 基金项目： | 四川省教育厅一般项目（14ZB0309）;四川文理学院校级重点科研项目（20122004Z） |
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| 摘 要： | 利用带有扰动的混合单调算子不动点定理,研究了非线性分数阶微分方程边值问题正解的存在唯一性.主要结论不仅保证了正解的存在唯一性,而且能够构造一迭代序列去逼近此解.
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| 关 键 词： | 分数阶微分方程 边值问题 正解 存在唯一性 混合单调算子 不动点定理 |
The Existence and Uniqueness of Positive Solution for Nonlinear Fractional Differential Equation Boundary Value Problem |
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| GU Chuan-yun,HU Pan. The Existence and Uniqueness of Positive Solution for Nonlinear Fractional Differential Equation Boundary Value Problem[J]. Journal of Daxian Teachers College, 2014, 0(2): 11-15 |
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| Authors: | GU Chuan-yun HU Pan |
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| Affiliation: | (Mathematics and Finance--Economics Department of Sichuan University of Arts and Science, Dazhou Sichuan 635000, China) |
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| Abstract: | In this paper, by using of new fixed point theorem for mixed monotone operator with perturbation, the existence and uniqueness of positive solution for nonlinear fractional differential equation boundary value problem is concerned. Our results can not only guarantee the existence and uniqueness of positive solution, but also be applied to construct an iterative scheme for approximating the solution. |
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| Keywords: | fractional differential equation boundary value problem positive solution existence and uniqueness mixedmonotone operator fixed point theorem |
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