Maximal and minimal iterative positive solutions for p-Laplacian Hadamard fractional differential equations with the derivative term contained in the nonlinear term

被引：10
作者：
Guo, Limin [1 ]
Liu, Lishan [2 ]
Wang, Ying [3 ]
机构：
[1] Changzhou Inst Technol, Sch Sci, Changzhou 213002, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
[3] Linyi Univ, Sch Math & Stat, Linyi 276000, Shandong, Peoples R China
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Hadamard fractional differential equation; iterative positive solution; positive solution; infinite-point; EXISTENCE; OPERATOR;
D O I：
10.3934/math.2021725
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the maximal and minimal iterative positive solutions are investigated for a singular Hadamard fractional differential equation boundary value problem with a boundary condition involving values at infinite number of points. Green's function is deduced and some properties of Green's function are given. Based upon these properties, iterative schemes are established for approximating the maximal and minimal positive solutions.
引用
收藏
页码：12583 / 12598
页数：16
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