| 一类带p-Laplace算子的Caputo分数阶导数边值问题解的存在性 |
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| 引用本文： | 李小平.一类带p-Laplace算子的Caputo分数阶导数边值问题解的存在性[J].吉林大学学报(理学版),2022,60(3):507-513. |
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| 作者姓名： | 李小平 |
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| 作者单位： | 湘南学院 数学与信息科学学院, 湖南 郴州 423000 |
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| 摘 要： | 利用不动点定理和分析技术, 讨论一类带p-Laplace算子的Caputo分数阶导数的边值问题解的存在性, 得到了该问题1个或3个非负解的存在性结果, 并给出实例说明所得结果的正确性.
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| 关 键 词： | p-Laplace算子 边值问题 Caputo分数阶导数 不动点定理 |
| 收稿时间： | 2021-07-29 |
Existence of Solutions for a Class of Caputo Fractional Derivative Boundary Value Problems with p-Laplace Operators |
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| LI Xiaoping.Existence of Solutions for a Class of Caputo Fractional Derivative Boundary Value Problems with p-Laplace Operators[J].Journal of Jilin University: Sci Ed,2022,60(3):507-513. |
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| Authors: | LI Xiaoping |
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| Institution: | College of Mathematics and Information Science, Xiangnan University, Chenzhou 423000, Hunan Province, China |
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| Abstract: | The author discussed the existence of solutions for a class of Caputo fractional derivative boundary value problems with p-Laplace operators by using the fixed-point theorem and analytical techniques. Existence results of one or three non-negative solutions of the problem were obtained, and two examples were given to illustrate the correctness of the results. |
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| Keywords: | p-Laplace operator boundary value problem Caputo fractional derivative fixed-point theorem |
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