分数阶p-Laplacian脉冲微分方程奇异边值问题解的存在唯一性  

Uniqueness of Solutions for Boundary Value Problems of Fractional p-Laplacian Singular Impulsive Differential Equations

作　　者：王佳丽 胡卫敏 Wang Jiali;HuWeimin(Xinjiang Production and Construction Corps Secondary School 12th Division Campus,Urumqi,Xinjiang 830000,China;Institute of Applied Mathematics,Yili Normal University,Yining,Xinjiang 835000,China)

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊宁835000 [2]伊犁师范大学应用数学研究所,新疆伊宁835000

出　　处：《伊犁师范大学学报（自然科学版）》2022年第4期8-17,共10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);伊犁哈萨克自治州科技计划项目(YZ2022Y013)。

摘　　要：研究一类带有p-Laplacian算子的分数阶脉冲微分方程奇异边值问题解的存在性与唯一性.首先推导出对应的Green函数,并得到Green函数的一些性质,然后利用不动点定理,推导出关于带有p-Laplacian算子的分数阶脉冲微分方程奇异边值问题解的存在性与唯一性定理.In this paper, this study discusses the uniqueness and existence of solutions for boundary value problems of singular impulsive fractional equations with p-Laplacian operators. Firstly, the corresponding Green function is derived, and some properties of the Green function are obtained. Then, by using the fixed point theorem, the existence and uniqueness theorems of solutions for Singular Boundary Value Problems of fractional impulsive differential equations with p-Laplacian operator are derived.

关 键 词：格林函数 P-LAPLACIAN算子 奇异 不动点定理 

分 类 号：O715[理学—晶体学]