Positive solutions for fractional four-point boundary value problems

被引：29

作者：

Zhao, Xiangkui ^{[1
]}

Chai, Chengwen ^{[1
]}

Ge, Weigao ^{[2
]}

机构：

[1] Univ Sci & Technol Beijing, Sch Appl Sci, Beijing 100083, Peoples R China

[2] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Caputo fractional derivative; Fractional integral; Boundary value problem; Fixed-point theorems; Monotone iterative method; DIFFERENTIAL-EQUATIONS; BANACH-SPACES; P-LAPLACIAN; ORDER; EXISTENCE;

D O I：

10.1016/j.cnsns.2011.01.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a fractional four-point boundary value problem is considered. By means of fixed-point theorems and successive iteration method, some results on the existence, multiplicity and uniqueness of positive solutions are obtained. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：3665 / 3672

页数：8

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