Positive solution for higher-order singular infinite-point fractional differential equation with p-Laplacian

被引：15

作者：

Zhong, Qiuyan ^{[1
]}

Zhang, Xingqiu ^{[1
,2
]}

机构：

[1] Jining Med Coll, Dept Informat Engn, Jining 272067, Shandong, Peoples R China

[2] Liaocheng Univ, Sch Math, Liaocheng 252059, Shandong, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2016年

基金：

中国国家自然科学基金;

关键词：

fractional differential equations; p-Laplacian; singularity; upper and lower solutions; positive solution; BOUNDARY-VALUE PROBLEM; UNIQUENESS; OPERATOR;

D O I：

10.1186/s13662-015-0737-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By means of the method of upper and lower solutions together with the Schauder fixed point theorem, the conditions for the existence of at least one positive solution are established for some higher-order singular infinite-point fractional differential equation with p-Laplacian. The nonlinear term may be singular with respect to both the time and the space variables.

引用

页码：1 / 11

页数：11

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