| 带有边界值问题的脉冲分数阶微分方程正解的存在性 |
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| 引用本文： | 王献存,舒小保. 带有边界值问题的脉冲分数阶微分方程正解的存在性[J]. 数学杂志, 2017, 37(2): 271-282 |
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| 作者姓名： | 王献存 舒小保 |
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| 作者单位： | 湖南大学数学与计量经济学院, 湖南 长沙 410082,湖南大学数学与计量经济学院, 湖南 长沙 410082 |
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| 基金项目： | Supported by Doctoral Fund of Ministry of Education of China (200805321017). |
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| 摘 要： | 本文研究了具有边界值条件的脉冲分数阶微分方程.利用Kuratowski非紧性测度理论和Sadovskii不动点定理，得到了脉冲分数阶微分方程正解的存在性的结果，推广了已有文献的结论.
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| 关 键 词： | 分数阶微分方程 脉冲分数阶微分方程 非紧性测度 α-压缩 |
| 收稿时间： | 2014-12-09 |
| 修稿时间： | 2015-04-07 |
THE EXISTENCE OF POSITIVE SOLUTIONS FOR IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS WITH BOUNDARY VALUE CONDITIONS |
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| WANG Xian-cun and SHU Xiao-bao. THE EXISTENCE OF POSITIVE SOLUTIONS FOR IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS WITH BOUNDARY VALUE CONDITIONS[J]. Journal of Mathematics, 2017, 37(2): 271-282 |
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| Authors: | WANG Xian-cun and SHU Xiao-bao |
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| Affiliation: | College of Mathematics and Econometrics, Hunan University, Changsha 410082, China and College of Mathematics and Econometrics, Hunan University, Changsha 410082, China |
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| Abstract: | In this paper,we investigate the impulsive fractional differential equation with boundary value conditions.By using the theory of Kuratowski measure of noncompactness and Sadovskii''fixed point theorem,we obtain the existence of positive solution for the impulsive fractional differential equations,which generalize the results of previous literatures. |
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