CONVERGENCE ANALYSIS OF ITERATIVE SCHEME AND ERROR ESTIMATION OF POSITIVE SOLUTION FOR A FRACTIONAL DIFFERENTIAL EQUATION-Reference-Cited by-同舟云学术

CONVERGENCE ANALYSIS OF ITERATIVE SCHEME AND ERROR ESTIMATION OF POSITIVE SOLUTION FOR A FRACTIONAL DIFFERENTIAL EQUATION

Published:2018-10-09 Issue:4 Volume:23 Page:611-626
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Zhang Xinguang¹,Wu Jing²,Liu Lishan³,Wu Yonghong⁴,Cui Yujun⁵

Affiliation:

1. Yantai UniversitySchool of Mathematical and Informational Sciences, Yantai University Yantai, 264005 Shandong, China; Department of Mathematics and Statistics, Curtin University of Technology Perth, 6845 WA, Australia

2. School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, 610074 Sichuan, China

3. School of Mathematical Sciences, Qufu Normal University, Qufu, 273165 Shandong, China; Department of Mathematics and Statistics, Curtin University of Technology, Perth, 6845 WA, Australia

4. Department of Mathematics and Statistics, Curtin University of Technology, Perth, 6845 WA, Australia

5. Department of Mathematics, Shandong University of Science and Technology, Qingdao, 266590 Shandong, China

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.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

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