一类带有p-Laplacian算子和积分边界条件的分数阶微分方程边值问题解的存在性  

The Existence of Solutions for a Class of Fractional Order Differential Equation Boundary Value Problems with p-Laplacian Operators and Integral Boundary Conditions

作　　者：周新悦 李永昆[1] ZHOU Xinyue;LI Yongkun(School of Mathematics and Statistics,Yunnan University,Kunming 650500,China)

机构地区：[1]云南大学数学与统计学院,云南昆明650500

出　　处：《应用数学》2023年第4期1042-1049,共8页Mathematica Applicata

基　　金：国家自然科学基金(12261098,11861072)。

摘　　要：本文运用Leray-Schauder连续原理和Banach压缩映射原理研究了一类带有p-Laplacian算子和积分边界条件的分数阶微分方程边值问题解的存在唯一性,给出了解存在唯一的充分条件,并利用两个例子说明结论的有效性.In this paper,we study the uniqueness and the existence of solutions for a class of fractional order differential equation with p-Laplacian operators and integral boundary conditions for boundary value problems using Leray-Schauder continuity principle and Banach contraction mapping principle.We give sufficient conditions for the existence and uniqueness,then use two examples to illustrate the validity of the conclusions.

关 键 词：分数阶微分方程 P-LAPLACIAN算子 Leray-Schauder连续原理 BANACH压缩映射原理 

分 类 号：O175.8[理学—数学]