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带p-Laplacian算子含积分边界条件分数阶微分方程边值问题解的存在性
引用本文:彭湘凌,刘振林,罗芳苜,廖泓.带p-Laplacian算子含积分边界条件分数阶微分方程边值问题解的存在性[J].南华大学学报(自然科学版),2019,33(2):75-78.
作者姓名:彭湘凌  刘振林  罗芳苜  廖泓
作者单位:湖南财经工业职业技术学院 公共课部,湖南 衡阳421002,湖南财经工业职业技术学院 公共课部,湖南 衡阳421002,湖南财经工业职业技术学院 公共课部,湖南 衡阳421002,湖南财经工业职业技术学院 公共课部,湖南 衡阳421002
摘    要:对一类带p-Laplacian算子含积分边界条件分数阶微分方程边值问题解的存在性进行了研究,运用Schauder不动点定理得到了新的结果。

关 键 词:p-Laplacian算子  积分边界条件  分数阶微分方程  不动点定理
收稿时间:2018/11/5 0:00:00

Existence of Solutions to Boundary Value Problem for a Class of Fractional Differential Equations with p-Laplacian Operator and Integral Boundary Conditions
PENG Xiangling,LIU Zhenling,LUO Fangmu and LIAO Hong.Existence of Solutions to Boundary Value Problem for a Class of Fractional Differential Equations with p-Laplacian Operator and Integral Boundary Conditions[J].Journal of Nanhua University:Science and Technology,2019,33(2):75-78.
Authors:PENG Xiangling  LIU Zhenling  LUO Fangmu and LIAO Hong
Institution:Public Course Department,Hunan Financial & Industrial Vocational-Technical College, Hengyang,Hunan 421002,China,Public Course Department,Hunan Financial & Industrial Vocational-Technical College, Hengyang,Hunan 421002,China,Public Course Department,Hunan Financial & Industrial Vocational-Technical College, Hengyang,Hunan 421002,China and Public Course Department,Hunan Financial & Industrial Vocational-Technical College, Hengyang,Hunan 421002,China
Abstract:The existence of solutions to boundary value problem for a class of fractional differential equations with p-Laplacian operator and integral boundary conditions is studied.A new result is obtained by using the Schauder fixed point theorem.
Keywords:p-Laplacian operator  integral boundary conditions  fractional differential equations  fixed point theorem
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