| 一类奇异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： | 张彩玲. 一类奇异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), 2022, 60(3): 487-493 |
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| 作者姓名： | 张彩玲 |
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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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| 摘 要： | 考虑一类奇异非线性Riemann-Liouville分数阶微分方程边值问题, 利用Leggett-Williams不动点定理, 在借助正则化方法构造相应辅助问题的基础上, 得到该边值问题至少存在3个正解的结果, 且这些正解也是辅助问题的正解.
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| 关 键 词： | 奇异分数阶微分方程 边值问题 不动点定理 正解 存在性 |
| 收稿时间： | 2021-07-13 |
Existence of Positive Solutions for Boundary Value Problems of a Class of Singular Fractional Differential Equations |
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| ZHANG Cailing. Existence of Positive Solutions for Boundary Value Problems of a Class of Singular Fractional Differential Equations[J]. Journal of Jilin University: Sci Ed, 2022, 60(3): 487-493 |
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| Authors: | ZHANG Cailing |
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| Affiliation: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | The author considered a class of singular nonlinear Riemann-Liouville boundary value problems of fractional differential equations, by using the Leggett-Williams fixed point theorem and constructing the corresponding auxiliary problems with the help of regularization method, it is obtained that there are at least three positive solutions to the boundary value problem, and these positive solutions are also positive solutions to the auxiliary problem. |
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| Keywords: | singular fractional differential equation boundary value problem fixed point theorem positive solution existence |
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