摘要
讨论了一类具有P-Laplacian算子的奇异非线性分数阶微分方程边值问题正解的唯一性,根据条件得到问题对应的Green函数,再由偏序集上的不动点定理,给出具P-Laplacian算子奇异边值问题正解唯一性的充分条件。
This paper discusses the uniqueness of positive solutions for a class of singular nonlinear fractional differential equation boundary value problems with P-Laplacian operator.The Green function of the corresponding problem is obtained according to the condition,and then the sufficient condition for the uniqueness of positive solutions of singular boundary value problems with P-Laplacian operator is given by the fixed point theorem on partial ordered set.
作者
王佳丽
彭田
胡卫敏
WANG Jia-li;PENG Tian;HU Wei-min(School of Mathematics and Statistics,Yili Normal University,Yining 835000,China)
出处
《长春师范大学学报》
2021年第6期6-9,共4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)。
关键词
格林函数
奇异
分数阶微分方程
Green's function
singularity
fractional differential equations
