| 具有p-Laplacian算子的分数阶微分方程边值问题 |
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| 引用本文： | 张宁,史小艺,张娣.具有p-Laplacian算子的分数阶微分方程边值问题[J].黑龙江科技学院学报,2012(5):537-544. |
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| 作者姓名： | 张宁 史小艺 张娣 |
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| 作者单位： | 中国矿业大学理学院;中国矿业大学管理学院 |
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| 基金项目： | 国家自然科学基金项目(10771212) |
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| 摘 要： | 在一定条件下,利用Banach压缩映射原理讨论了具有p-Laplacian算子的分数阶微分方程边值问题解的存在性和唯一性,得到了解存在和唯一的充分条件,并举例说明了结论的适用性。
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| 关 键 词： | 分数阶微分方程 p-Laplacian算子 Banach压缩映射原理 |
Boundary value problems for fractional differential equation with p-Laplacian operator |
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| ZHANG Ning,SHI Xiaoyi,ZHANG Di.Boundary value problems for fractional differential equation with p-Laplacian operator[J].Journal of Heilongjiang Institute of Science and Technology,2012(5):537-544. |
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| Authors: | ZHANG Ning SHI Xiaoyi ZHANG Di |
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| Institution: | 1.College of Sciences,China University of Mining & Technology,Xuzhou 221116,China; 2.School of Management,China University of Mining & Technology,Xuzhou 221116,China) |
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| Abstract: | This paper introduces the study on the existence and uniqueness of solutions for fractional boundary value problems for a fractional differential equations of p-Laplacian operator by applying Banach contraction principle,given certain conditions,offers the sufficient conditions for the existence and uniqueness of solutions,and ends with several examples given to illustrate the results. |
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| Keywords: | fractional differential equations p-Laplacian operator Banach contraction principle |
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