Maximal and minimal iterative positive solutions for singular infinite-point p-Laplacian fractional differential equations

被引：16
|
作者：
Guo, Limin [1 ,2 ]
Liu, Lishan [2 ,3 ]
机构：
[1] Changzhou Inst Technol, Sch Math & Chem Engn, Changzhou 213002, Jiangsu, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
[3] Curtin Univ, Dept Math & Stat, Perth, WA 6845, Australia
来源：
NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2018年 / 23卷 / 06期
基金：
中国国家自然科学基金;
关键词：
fractional differential equation; Green's function; infinite-point; maximal and minimal positive solutions; BOUNDARY-VALUE-PROBLEMS; ORDERED BANACH-SPACES; FIXED-POINTS; EXISTENCE;
D O I：
10.15388/NA.2018.6.3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence of maximal and minimal positive solutions for singular infinite-point p-Laplacian fractional differential equation is investigated in this paper. Green's function is derived, and some properties of Green's function are obtained. Based upon these properties of Green's function, the existence of maximal and minimal positive solutions is obtained, and iterative schemes are established for approximating the maximal and minimal positive solutions.
引用
收藏
页码：851 / 865
页数：15
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