Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638398 | Journal of Computational and Applied Mathematics | 2015 | 8 Pages |
Abstract
In this paper we investigate the existence and uniqueness of extremal solutions for nonlinear boundary value problems of a fractional pp-Laplacian differential equation involving Riemann–Liouville derivatives. We construct two well-defined monotone iterative sequences of upper and lower solutions which converge uniformly to the actual solution of the problem. A numerical iterative scheme is also introduced to obtain an accurate approximate solution for the problem and an example is presented to illustrate the results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Youzheng Ding, Zhongli Wei, Jiafa Xu, Donal O’Regan,