Title
CONVERGENCE ANALYSIS OF ITERATIVE SCHEME AND ERROR ESTIMATION OF POSITIVE SOLUTION FOR A FRACTIONAL DIFFERENTIAL EQUATION
Abstract
In this paper, we focus on the iterative scheme and error estimation of positive solutions for a class of p-Laplacian fractional order differential equation subject to Riemann-Stieltjes integral boundary condition. Under a weaker growth condition of nonlinearity, by using a monotone iterative technique, we first establish a new result on the sufficient condition for the existence of a unique positive solution to the above problem, then construct an iterative scheme which converges to the unique positive solution, and then present an error estimation and the exact convergence rate of the approximate solution.
Year
DOI
Venue
2018
10.3846/mma.2018.037
MATHEMATICAL MODELLING AND ANALYSIS
Keywords
DocType
Volume
uniqueness,fractional p-Laplacian equation,monotone iterative technique,error estimation
Journal
23
Issue
ISSN
Citations 
4
1392-6292
1
PageRank 
References 
Authors
0.36
14
5
Name
Order
Citations
PageRank
Xinguang Zhang116323.65
Jing Wu210.36
Lishan Liu318835.41
Yonghong Wu4285.63
Yujun Cui5191.91