具p-Laplacian算子的Hadamard型分数阶微分方程边值问题的解  

Solutions of Boundary Value Problems of Hadamard Type Fractional Differential Equations with p-Laplacian Operators

作　　者：王书越 胡卫敏 胡芳芳 WANG Shu-yue;HU Wei-min;HU Fang-fang(School of Mathematics and Statistic,Yili Normal University,Yining 835000,China;Institute of Applied Mathematics,Yili Normal University,Yining 835000,China)

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊宁835000 [2]伊犁师范大学应用数学研究所,新疆伊宁835000

出　　处：《数学的实践与认识》2025年第1期233-244,共12页Mathematics in Practice and Theory

基　　金：新疆维吾尔自治区自然科学基金(2023D01C51);伊犁师范大学高级别培育项目(YSPY2022014);伊犁师范大学科研创新团队培育计划项目(CXZK2021016)。

摘　　要：主要运用Schauder不动点定理研究了一类具p-Laplacian算子的Hadamard型分数阶微分方程的边值问题,得到了解决这类问题解的存在性的充分条件,并给出实例加以验证,并且验证解满足稳定性条件.Utilizing the Schauder fixed point theorem,we analyzed boundary value problems pertaining to Hadamard-type fractional differential equations incorporating the p-Laplacian operator.We presented sufficient conditions ensuring the existence of such solutions and confirmed their compliance with the stability criterion.By using Schauder fixed point theorem,we discussed the boundary value problems of Hadamard type fractional differential equations with p-Laplacian operator.The sufficient conditions for the existence of such solutions are given and verify that the solution satisfies the stability condition.

关 键 词：Hadamard型分数阶微分方程 P-LAPLACIAN算子 Arzela-Ascoli定理 SCHAUDER不动点定理 

分 类 号：O175.8[理学—数学]