一类带有p-Laplacian算子的分数阶积分边值问题正解的存在性  

The existence of positive solutions to a class of fractional integral boundary value problems with p-Laplacian operators

作　　者：武瑜 王文霞[1] WU Yu;WANG Wen-xia(School of Mathematics and Statistics,Taiyuan Normal University,Jinzhong 030619,China)

机构地区：[1]太原师范学院数学与统计学院,山西晋中030619

出　　处：《兰州理工大学学报》2024年第5期153-160,共8页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11361047)。

摘　　要：研究了一类带有p-Laplacian算子的分数阶积分边值问题正解的存在性,利用混合单调算子的不动点定理,获得了该边值问题唯一正解存在的充分条件,并给出两个具体的例子作为应用.The existence of positive solutions to a class of fractional integral boundary value problems with p-Laplacian operators is studied.By employing the fixed point theorem of mixed monotone operators,sufficient conditions for the existence of a unique positive solution to the boundary value problems are established.In addition,two specific examples are given to illustrate theoretical results.

关 键 词：分数阶微分方程 P-LAPLACIAN算子 不动点 

分 类 号：O175.8[理学—数学]