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分数阶P-Laplacian算子反周期边值问题解的唯一性

Uniqueness of Solutions to Anti-periodic Boundary Value Problems of Fractional Order P-Laplacian Operator
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摘要 研究了具P-Laplacian算子的Caputo分数阶微分方程反周期边值问题解的存在唯一性.根据反周期边值条件,构造了该问题的格林函数,利用P-Laplacian算子的逆算子非线性分析的原理,得到了该分边值问题解的存在唯一性. In this paper,we study the existence and uniqueness of solutions to counter-periodic boundary value problems for fractional differential equations with P-Laplacian operator.According to the counter-periodic boundary condition,the green function of the problem is constructed,and the existence and uniqueness of the solution are obtained by using the inverse operator nonlinear analysis principle of P-Laplacian operator.
作者 彭田 王佳丽 胡卫敏 Peng Tian;Wang Jiali;Hu Weimin(College of Mathematics and Statistics,Yili Normal University,Yining,Xinjiang 835000,China)
机构地区 伊犁师范大学数学与统计学院
出处 《伊犁师范学院学报（自然科学版）》 2020年第4期6-12,共7页 Journal of Yili Normal University：Natural Science Edition
基金 新疆维吾尔自治区自然科学基金资助项目(2019D01C331).
关键词 Caputo分数阶微分 P-LAPLACIAN算子 反周期 解的存在唯一性 Caputo fractional differential P-Laplacian operator the cycle the existence and uniqueness of solutions
分类号 O175.8 [理学—基础数学]
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伊犁师范学院学报（自然科学版）
2020年 第4期

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