The method of lower and upper solutions for the general boundary value problems of fractional differential equations with p-Laplacian

被引：36
|
作者：
Liu, Xiping [1 ]
Jia, Mei [1 ]
机构：
[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
基金：
中国国家自然科学基金;
关键词：
fractional differential equations; p-Laplacian operators; functional; general boundary value problem; method of lower and upper solutions; positive solution; EXISTENCE; SYSTEMS;
D O I：
10.1186/s13662-017-1446-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present here a new method of lower and upper solutions for a general boundary value problem of fractional differential equations with p-Laplacian operators. By using this approach, some new results on the existence of positive solutions for the equations with multiple types of nonlinear integral boundary conditions are established. Finally, some examples are presented to illustrate the wide range of potential applications of our main results.
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收藏
页数：15
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