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

作者：

Highlights：

• The uniqueness of positive solutions for singular BVPs can be realized by the theory of mixed monotone operators.

• The dependence of positive solutions on a parameter is derived.

• Numerical examples present the convergence of the iterative sequences and the impact of a parameter on solutions.

摘要

•The uniqueness of positive solutions for singular BVPs can be realized by the theory of mixed monotone operators.•The dependence of positive solutions on a parameter is derived.•Numerical examples present the convergence of the iterative sequences and the impact of a parameter on solutions.

论文关键词：Higher-order singular fractional BVPs,Riemann-Stieltjes integral boundary condition,Nonlocal infinite-point boundary condition,Uniqueness of positive solutions,Numerical solution

论文评审过程：Received 6 November 2019, Revised 9 April 2020, Accepted 27 April 2020, Available online 11 May 2020, Version of Record 11 May 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125339