带p-Laplace算子和反周期边界条件的隐式分数阶微分方程解的存在性  

Existence of solutions for implicit fractional differential equations with p-Laplacian operator and anti-periodic boundary conditions

作　　者：郭秀凤 曾慧丹 韩江峰 GUO Xiu-feng;ZENG Hui-dan;HAN Jiang-feng(School of Mathematics and Quantitative Economics,Guangxi University of Finance and Economics,Nanning 530003,China)

机构地区：[1]广西财经学院数学与数量经济学院,广西南宁530003

出　　处：《高校应用数学学报（A辑）》2023年第1期64-72,共9页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(12001120);广西自然科学基金(2021GXNSFAA075022);广西高校中青年教师科研基础能力提升项目(2020KY16017,2021KY0647);广西财经学院创新团队支持计划经费;统计学广西一流学科建设项目。

摘　　要：利用经典的Schaefer不动点定理研究带有p-Laplace算子的隐式分数阶微分方程反周期边值问题.在适当的假设条件下,得到隐式方程和隐式分数阶微分方程解的存在性结果,并举例说明结果的应用.By using the classical Schaefer’s fixed point theorem, the paper deals with the existence of solutions of implicit fractional differential equations with p-Laplacian operator and antiperiodic boundary conditions. Under some suitable assumptions, the existence results are obtained for implicit equations and implicit fractional differential equations. Two examples are given to show the applicability of the results.

关 键 词：隐式分数阶微分方程 P-LAPLACE算子 不动点定理 反周期边界条件 解的存在性 

分 类 号：O175.14[理学—数学]