具p-Laplace算子的分数阶脉冲微分方程奇异边值问题的解  

Solutions of Singular Boundary Value Problems for FractionalImpulsive Differential Equations with p-Laplacian Operator

作　　者：赵甜 胡卫敏 刘元彬 ZHAO Tian;HU Weimin;LIU Yuanbin(School of Mathematics and Statistics,Yili Normal University,Yining 835000,Xinjiang Uygur Autonomous Region,China;Institute of Applied Mathematics,Yili Normal University,Yining 835000,Xinjiang Uygur Autonomous Region,China;School of Mathematics and Physics,Xinjiang Institute of Engineering,Urumqi 830023,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 [3]新疆工程学院数理学院,乌鲁木齐830023

出　　处：《吉林大学学报（理学版）》2024年第4期842-850,共9页Journal of Jilin University:Science Edition

基　　金：新疆维吾尔自治区自然科学基金(批准号:2023D01C51);伊犁师范大学高级别培育项目(批准号:YSPY2022014);伊犁师范大学科研创新团队培育计划项目(批准号:CXZK2021016)。

摘　　要：用Banach压缩映像原理和Krsnoasel’skii不动点定理证明一类具有p-Laplace算子的分数阶脉冲微分方程奇异边值问题解的唯一性和存在性.We proved the uniqueness and existence of solutions for a class of singular boundary value problems of fractional impulsive differential equations with p-Laplacian operators by using Banach contraction mapping principle and Krsnoasel’skii fixed point theorem.

关 键 词：分数阶微分方程 脉冲 不动点定理 奇异边值问题 P-LAPLACE算子 

分 类 号：O175.8[理学—数学]