| 分数阶微分方程m点边值问题正解的存在性 |
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| 引用本文： | 田元生. 分数阶微分方程m点边值问题正解的存在性[J]. 应用泛函分析学报, 2012, 14(3): 274-281 |
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| 作者姓名： | 田元生 |
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| 作者单位： | 湘南学院 数学系,郴州,423000 |
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| 基金项目： | 湖南省自然科学基金，湖南省教育厅科研项目，湖南省重点建设学科项目 |
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| 摘 要： | 应用凸锥上的不动点定理,讨论了一类分数阶微分方程m点边值问题正解的存在性,得到了这类边值问题至少存在一个正解的充分条件,并给出了一个实例.
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| 关 键 词： | 分数阶微分方程 m点边值问题 不动点定理 正解 |
Existence of Positive Solution to m-point Boundary Value Problem of Nonlinear Fractional Differential Equations |
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| TIAN Yuansheng. Existence of Positive Solution to m-point Boundary Value Problem of Nonlinear Fractional Differential Equations[J]. Acta Analysis Functionalis Applicata, 2012, 14(3): 274-281 |
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| Authors: | TIAN Yuansheng |
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| Affiliation: | TIAN Yuansheng Department of Mathematics, Xiangnan University, Chenzhou 432000, China |
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| Abstract: | In this paper, we study the existence of positive solution to m-point boundary value problem of nonlinear fractional differential equations. By using some fixed-point theorem on a convex cone, the existence results of positive solution to m-point boundary value problem of nonlinear fractional differential equations are obtained. In addition, an example is included to demonstrate the main result. |
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| Keywords: | fractional differential equation m-point boundary value problem fixed-point theorem positive solution |
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