| Banach空间分数阶微分方程边值问题正解的存在性 |
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| 引用本文： | 张凯斌,陈鹏玉.Banach空间分数阶微分方程边值问题正解的存在性[J].吉林大学学报(理学版),2021,59(1):7-12. |
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| 作者姓名： | 张凯斌 陈鹏玉 |
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| 作者单位： | 西北师范大学 数学与统计学院, 兰州 730070 |
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| 基金项目： | 西北师范大学青年教师科研能力提升计划项目;国家自然科学基金 |
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| 摘 要： | 用非紧性测度估计技巧和凝聚映射的不动点指数理论, 证明Banach空间中分数阶微分方程边值问题正解的存在性.
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| 关 键 词： | 分数阶微分方程 正解 边值问题 凝聚映射 不动点指数 |
| 收稿时间： | 2020-06-03 |
Existence of Positive Solutions for Boundary Value Problems of Fractional Differential Equations in Banach Spaces |
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| ZHANG Kaibin,CHEN Pengyu.Existence of Positive Solutions for Boundary Value Problems of Fractional Differential Equations in Banach Spaces[J].Journal of Jilin University: Sci Ed,2021,59(1):7-12. |
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| Authors: | ZHANG Kaibin CHEN Pengyu |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | We proved the existence of positive solutions for boundary value problems of fractional differential equations in Banach spaces by using the estimation technique of noncompact measure and the fixed point index theory of condensing mappings. |
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| Keywords: | fractional differential equation positive solution boundary value problem condensing mapping fixed point index |
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