| 一类分数阶四点边值问题正解的存在性 |
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| 引用本文： | 潘欣媛,何小飞.一类分数阶四点边值问题正解的存在性[J].吉首大学学报(自然科学版),2022,43(2):1-6. |
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| 作者姓名： | 潘欣媛 何小飞 |
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| 作者单位： | (1.吉首大学数学与统计学院，湖南 吉首 416000；2.吉首大学张家界学院，湖南 张家界 427000) |
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| 基金项目： | 吉首大学研究生校级科研项目（JDY21019） |
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| 摘 要： | 利用Green函数、Arzela-Ascoli定理及锥上不动点定理,研究了一类含p-Laplacian算子的分数阶微分方程边值问题正解的存在性.
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| 关 键 词： | 分数阶微分方程 p-Laplacian算子 Green函数 不动点定理 正解 |
Existence of Positive Solution for a Class of Fractional Four-Point Boundary Value Problems |
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| PAN Xinyuan,HE Xiaofei.Existence of Positive Solution for a Class of Fractional Four-Point Boundary Value Problems[J].Journal of Jishou University(Natural Science Edition),2022,43(2):1-6. |
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| Authors: | PAN Xinyuan HE Xiaofei |
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| Institution: | (1.College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China;2.Zhangjiajie College,Jishou University,Zhangjiajie 427000,Hunan China) |
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| Abstract: | By applying Green's function,Arzela-Ascoli theorem and fixed point theorem on cones,the existence of positive solution is obtained for a class of p-Laplacian type fractional differential boundary value problems. |
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| Keywords: | fractional differential equation p-Laplacian operator Green's function fixed point theorem positive solution |
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