| 具有P-Laplacian算子的分数阶微分方程多点边值问题 |
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| 引用本文： | 宋利梅.具有P-Laplacian算子的分数阶微分方程多点边值问题[J].嘉应学院学报,2014(5):5-9. |
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| 作者姓名： | 宋利梅 |
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| 作者单位： | 嘉应学院数学学院,广东梅州514015 |
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| 基金项目： | 广东省梅州市科学技术局嘉应学院联合资助项目（2012KJA06） |
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| 摘 要： | 利用Banach压缩映射原理,得到具有P-Laplacian算子的分数阶微分方程多点边值问题存在性和唯一性的充分条件,并举例说明了结论的适用性.
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| 关 键 词： | P-Laplacian算子 多点边值问题 压缩映射原理 分数阶微分方程 |
Multi -Point Boundarv Value Problem for Fractional Differential Equation with p -Laplacian Operator |
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| Institution: | SONG Li - mei ( School of Mathematics, Jiaying University, Meizhou 514015, China) |
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| Abstract: | Using the Banach contraction mapping principle,we obtain the suffcient conditions for the existence and unqueness of solutions for multi - point boundarv value problem of fractional differential equation with p - Laplacian operator, and end with seveal examples given to illustrate the results. |
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| Keywords: | p - Laplacian operator multi - point boundarv value problem fractional differential equation contraction mapping principle |
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