A numerical algorithm for a class of fractional BVPs with p-Laplacian operator and singularity-the convergence and dependence analysis

被引：16

作者：

Wang, Fang ^{[1
]}

Liu, Lishan ^{[1
,2
]}

Wu, Yonghong ^{[2
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[2] Curtin Univ, Dept Math & Stat, Perth, WA 6845, Australia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 382卷 / 382期

基金：

澳大利亚研究理事会; 中国国家自然科学基金;

关键词：

Higher-order singular fractional BVPs; Riemann-Stieltjes integral boundary condition; Nonlocal infinite-point boundary condition; Uniqueness of positive solutions; Numerical solution; BOUNDARY-VALUE PROBLEM; ITERATIVE POSITIVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; EXISTENCE; SYSTEM; UNIQUENESS; DISCRETE;

D O I：

10.1016/j.amc.2020.125339

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, we establish the uniqueness of positive solutions for a model of higher-order singular fractional boundary value problems with p-Laplacian operator. The equation includes the Caputo and the Riemann-Liouville fractional derivative. The boundary conditions contain Riemann-Stieltjes integrals and nonlocal infinite-point boundary conditions. The nonlinear terms f and h may be singular on the time variable and space variables. The uniqueness result is obtained, by the theory of mixed monotone operators. We also discuss the dependence of solutions upon a parameter. Furthermore, two examples illustrate our main results via numerical analysis. (C) 2020 Published by Elsevier Inc.

引用

页数：13

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