具p-Laplacian算子的分数阶微分脉冲边值问题解的存在性与唯一性  

The Existence and Uniqueness of Solutions for Fractional Differential Impulsive Boundary Value Problems with p-Laplacian Operator

作　　者：盛世昌 胡卫敏 SHENG Shi-chang;HU Wei-min(School of Mathematics and Statistics,Yili Normal University,Yining 835000,China;Institute of Applied Mathematics,Yili Normal University,Yining 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：《长春师范大学学报》2022年第2期5-10,共6页Journal of Changchun Normal University

基　　金：新疆维吾尔自治区自然科学基金资助项目“具p-Laplacian算子的分数阶微分方程边值问题解的存在性”(2019D01C331)。

摘　　要：采用新方法讨论一个具p-Laplacian算子的分数阶微分方程脉冲边值问题的解的存在性与唯一性,主要利用Schauder不动点定理证明其解的存在性与唯一性.A new method is used to discuss the existence and uniqueness of the solution of an impulsive boundary value problem of fractional differential equation with p-Laplacian operator.The existence and uniqueness of the solution are mainly proved by the Schauder fixed point theorem.

关 键 词：脉冲 P-LAPLACIAN算子 分数阶微分方程 边值问题 

分 类 号：O175.8[理学—数学]