一类含有P-Laplacian算子的分数阶微分方程边值问题的多重正解  

Multiple Positive Solutions for a Class of Boundary Value Problems of Fractional Differential Equations with P-Laplacian Operators

作　　者：胡芳芳 刘元彬 张永 HU Fang-fang;LIU Yuan-bin;ZHANG Yong(School of Mathematics and Statistics,Institute of Applied Mathematics,Yili Normal University,Yining 835000,Xinjiang,China;School of Mathematics and Science,Xinjiang Institute of Engineering,Changji 830091,Xinjiang,China)

机构地区：[1]伊犁师范大学数学与统计学院应用数学研究所,新疆伊宁835000 [2]新疆工程学院数理学院,新疆昌吉830091

出　　处：《兰州文理学院学报（自然科学版）》2022年第5期6-12,共7页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：伊犁师范大学校级项目(2021YSYB075)。

摘　　要：研究了含有P-Laplacian算子的Riemann-Liouville分数阶微分方程边值问题正解的存在性,从本质上改进和推广了一些已用的结果,为存在至少一个或三个正解建立了一些充分的条件,最后通过两个算例验证了主要结论的有效性.In this paper,the existence of positive solutions for the Riemann-Liouville fractional boundary value problem with P-Laplacian operator is studied,which essentially improves and generalizes some results already used,and some sufficient conditions for the existence of at least one or three positive solutions are established,finally,two numerical examples are given to verify the validity of the main conclusions.

关 键 词：P-LAPLACIAN算子 分数阶微分方程 不动点定理 正解 

分 类 号：O175.8[理学—数学]