Existence and uniqueness of solutions for fractional boundary value problems with p-Laplacian operator

被引：15
|
作者：
Bai, Chuanzhi [1 ]
机构：
[1] Huaiyin Normal Univ, Dept Math, Huaian 223300, Jiangsu, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
关键词：
fractional boundary value problem; p-Laplacian operator; fixed point theorem; DIFFERENTIAL-EQUATION; MODEL;
D O I：
10.1186/s13662-017-1460-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence and uniqueness of solutions for a fractional boundary value problem involving the p-Laplacian operator. Our analysis relies on some properties of the Green function and the Guo-Krasnoselskii fixed point theorem and the Banach contraction mapping principle. Two examples are given to illustrate our theoretical results.
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页数：12
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