ON ITERATIVE POSITIVE SOLUTIONS FOR A CLASS OF SINGULAR INFINITE-POINT P-LAPLACIAN FRACTIONAL DIFFERENTIAL EQUATION WITH SINGULAR SOURCE TERMS

被引：14

作者：

Guo, Limin ^{[1
]}

Wang, Ying ^{[3
]}

Liu, Haimei ^{[2
]}

Li, Cheng ^{[2
]}

Zhao, Jingbo ^{[2
]}

Chu, Hualei ^{[4
]}

机构：

[1] Changzhou Inst Technol, Sch Sci, Liaohe 213002, Changzhou, Peoples R China

[2] Changzhou Inst Technol, Sch Automot Engn, Liaohe 213002, Changzhou, Peoples R China

[3] Linyi Univ, Sch Math & Stat, Linyi 276000, Shandong, Peoples R China

[4] Chongqing Normal Univ, Sch Sci, Chongqing 401331, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 05期

基金：

中国国家自然科学基金;

关键词：

fractional differential; iterative positive solution; sequential techniques; mixed monotone operator; singular problem; EXISTENCE; OPERATOR; SYSTEM;

D O I：

10.11948/20230008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on properties of Green's function, the existence of unique positive solution for singular infinite-point p-Laplacian fractional differential system is established, moreover, an iterative sequence and convergence rate are given which are important for practical application, and an example is given to demonstrate the validity of our main results.

引用

页码：2827 / 2842

页数：16

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