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.
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页数：13
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