| 非线性分数阶两点边值正解的存在唯一性 |
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| 引用本文： | 古传运.非线性分数阶两点边值正解的存在唯一性[J].乐山师范学院学报,2014(5):5-7. |
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| 作者姓名： | 古传运 |
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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： | 四川省教育厅科研资助项目（14ZB0309） |
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| 摘 要： | 研究了一类非线性分数阶两点边值问题。利用广义的凹算子的不动点定理和格林函数的性质及在给定的条件下,获得了此边值问题正解的存在唯一性,并构造一迭代序列去逼近它。完善和推广了正解的存在性结果。
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| 关 键 词： | 正解 分数阶边值问题 广义的凹算子 不动点 存在唯一性 |
Existence-uniqueness of Positive Solutions to Nonlinear Fractional Two Points Boundary Values |
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| GU Chuanyun.Existence-uniqueness of Positive Solutions to Nonlinear Fractional Two Points Boundary Values[J].Journal of Leshan Teachers College,2014(5):5-7. |
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| Authors: | GU Chuanyun |
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| Institution: | GU Chuanyun (School of Mathematics and Finance-Economics, Sichuan University of Arts and Science, Dazhou Sichuan 635000, China) |
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| Abstract: | This paper studied a class of the nonlinear fractional two points boundary value problem. By means of the fixed point theorems of generalized concave operators and the properties of the Green function, the existence and uniqueness of its positive solutions were obtained under given conditions, and an iterative scheme was constructed to approximate it. The results inprove and popularize the existing theory of existence of positive solution. |
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| Keywords: | Positive Solution Fractional Boundary Value Problem Generalized Concave Operators Fixed Point Existence and Uniqueness |
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