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.
作者
周新悦
李永昆
ZHOU Xinyue;LI Yongkun(School of Mathematics and Statistics,Yunnan University,Kunming 650500,China)
出处
《应用数学》
北大核心
2023年第4期1042-1049,共8页
Mathematica Applicata
基金
国家自然科学基金(12261098,11861072)。
