标题：The convergence analysis and error estimation for unique solution of a p-Laplacian fractional differential equation with singular decreasing nonlinearity
作者：Wu, Jing; Zhang, Xinguang; Liu, Lishan; Wu, Yonghong; Cui, Yujun
作者机构：[Wu, Jing] Southwestern Univ Finance & Econ, Sch Econ Math, Chengdu, Sichuan, Peoples R China.; [Zhang, Xinguang] Yantai Univ, Sch Math & Informat S 更多
通讯作者：Zhang, XG;Zhang, XG
通讯作者地址：[Zhang, XG]Yantai Univ, Sch Math & Informat Sci, Yantai, Peoples R China;[Zhang, XG]Curtin Univ Technol, Dept Math & Stat, Perth, WA, Australia.
来源：BOUNDARY VALUE PROBLEMS
关键词：Convergence analysis; Error estimation; p-Laplacian fractional; differential equation; Double iterative technique; Riemann-Stieltjes; integral conditions
摘要：In this paper, we focus on the convergence analysis and error estimation for the unique solution of a p-Laplacian fractional differential equation with singular decreasing nonlinearity. By introducing a double iterative technique, in the case of the nonlinearity with singularity at time and space variables, the unique positive solution to the problem is established. Then, from the developed iterative technique, the sequences converging uniformly to the unique solution are formulated, and the estimates of the error and the convergence rate are derived.