| 带p-Laplacian算子非线性分数阶耦合系统边值问题解的存在性 |
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| 引用本文： | 彭湘凌,姜小霞,胡萍,戚德庆. 带p-Laplacian算子非线性分数阶耦合系统边值问题解的存在性[J]. 南华大学学报(自然科学版), 2016, 30(1): 47-51, 54 |
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| 作者姓名： | 彭湘凌 姜小霞 胡萍 戚德庆 |
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| 作者单位： | 南华大学 数理学院,湖南 衡阳 421001,铜仁职业技术学院 信息工程学院,贵州 铜仁 554100,南华大学 数理学院,湖南 衡阳 421001,南华大学 数理学院,湖南 衡阳 421001 |
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| 基金项目： | 南华大学研究生科研创新基金资助项目(2015XCX15) |
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| 摘 要： | 讨论一类带有p-Laplacian算子非线性分数阶微分方程耦合系统边值问题解的存在性,给出解的存在性条件,利用不动点定理进行讨论.
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| 关 键 词： | 分数阶微分方程 p-Laplacian算子 耦合系统 边值问题 不动点定理 |
| 收稿时间： | 2015-08-18 |
Existence of Solutions to Boundary Value Problem for a Coupled System of Nonlinear Fractional Differential Equations with p-Laplace Operator |
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| PENG Xiang-ling,JIANG Xiao-xi,HU Ping and QI De-qing. Existence of Solutions to Boundary Value Problem for a Coupled System of Nonlinear Fractional Differential Equations with p-Laplace Operator[J]. Journal of Nanhua University(Science and Technology), 2016, 30(1): 47-51, 54 |
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| Authors: | PENG Xiang-ling JIANG Xiao-xi HU Ping QI De-qing |
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| Affiliation: | School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China,College of Information Engineering,Tongren Polytechnic College,Tongren,Guizhou 554100,China,School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China and School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China |
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| Abstract: | In this paper,we study the existence of solutions to boundary value problem for a coupled system of nonlinear fractional differential equations with p-Laplace operator.By the fixed theorem,we obtain some sufficient conditions for the existence of the new results. |
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| Keywords: | fractional differential equations p-Laplacian operator coupled system boundary value problem fixed point theorem |
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