| 具p-Laplacian算子分数阶微分方程边值问题正解的存在唯一性 |
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| 引用本文： | 何家维,李成福. 具p-Laplacian算子分数阶微分方程边值问题正解的存在唯一性[J]. 数学学报, 2017, 60(5): 751-762 |
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| 作者姓名： | 何家维 李成福 |
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| 作者单位： | 湘潭大学数学与计算科学学院 湖南 411105 |
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| 基金项目： | 国家自然科学基金资助项目（11671339） |
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| 摘 要： | 本文运用非紧性测度,给出了一类具p-Laplacian算子分数阶微分方程边值问题正解的存在性与唯一性.最后,用一个例子阐述我们的主要结果.
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| 关 键 词： | 分数阶微分方程 边值问题 p-Laplacian算子 正解 非紧性测度 |
Existence and Uniqueness of Boundary Value Problem for Fractional Differential Equation with p-Laplacian Operator |
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| Jia Wei HE,Cheng Fu LI. Existence and Uniqueness of Boundary Value Problem for Fractional Differential Equation with p-Laplacian Operator[J]. Acta Mathematica Sinica, 2017, 60(5): 751-762 |
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| Authors: | Jia Wei HE Cheng Fu LI |
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| Affiliation: | Department of Mathematics and Computing Science, Xiangtan University, Hu'nan 411105, P. R. China |
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| Abstract: | We discussed the boundary value problems for a class of fractional differential equations with p-Laplacian operator by the method of measure of noncompactness, we proved that existence and uniqueness of positive solutions. Finally, one example was given to illustrative our main results. |
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| Keywords: | fractional differential equation boundary value problem p-Laplacian operator positive solutions measure of noncompactness |
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