| 一类带p-Laplacian算子的分数阶微分方程边值问题解的存在性 |
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| 引用本文： | 唐敏,刘文斌,吕秋燕,程玲玲.一类带p-Laplacian算子的分数阶微分方程边值问题解的存在性[J].河南师范大学学报(自然科学版),2014(3):5-10. |
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| 作者姓名： | 唐敏 刘文斌 吕秋燕 程玲玲 |
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| 作者单位： | 中国矿业大学理学院; |
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| 基金项目： | 国家自然科学基金(11271364) |
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| 摘 要： | 主要研究了一些非线性条件下的一类带p-Laplacian算子的分数阶微分方程边值问题解的存在性,其中此问题的非线性项与未知函数的分数阶导数相关.同时,利用不动点定理证明并给出了这类边值问题的解存在的充分条件.
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| 关 键 词： | p-Laplacian算子 分数阶微分方程 解的存在性 不动点定理 |
Existence of Solutions of Boundary Value Problems for Fractional Differential Equation with p-Laplacian |
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| TANG Min;LIU Wenbin;LU Qiuyan;CHENG Lingling.Existence of Solutions of Boundary Value Problems for Fractional Differential Equation with p-Laplacian[J].Journal of Henan Normal University(Natural Science),2014(3):5-10. |
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| Authors: | TANG Min;LIU Wenbin;LU Qiuyan;CHENG Lingling |
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| Institution: | TANG Min;LIU Wenbin;LU Qiuyan;CHENG Lingling;Department of Mathematics,China University of Mining and Technology; |
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| Abstract: | Under certain nonlinear conditions,this paper studies the existence of solutions of a boundary value problem for fractional differential equation with p-Laplacian operator,the nonlinearity of which is related to fractional derivative.we get some new existence results by using fixed point theorem. |
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| Keywords: | p-Laplacian operator fractional differential equation existence fixed point theorem |
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