Convergence analysis of iterative scheme and error estimation of positive solution for a fractional differential equation
© 2018 The Author(s). 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 mon...
| Main Authors: | , , , , |
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| Format: | Journal Article |
| Published: |
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/73512 |
| _version_ | 1848763035164868608 |
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| author | Wu, J. Zhang, Xinguang Liu, Lishan Wu, Yong Hong Cui, Y. |
| author_facet | Wu, J. Zhang, Xinguang Liu, Lishan Wu, Yong Hong Cui, Y. |
| author_sort | Wu, J. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2018 The Author(s). 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. |
| first_indexed | 2025-11-14T10:57:03Z |
| format | Journal Article |
| id | curtin-20.500.11937-73512 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:57:03Z |
| publishDate | 2018 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-735122018-12-13T09:35:50Z Convergence analysis of iterative scheme and error estimation of positive solution for a fractional differential equation Wu, J. Zhang, Xinguang Liu, Lishan Wu, Yong Hong Cui, Y. © 2018 The Author(s). 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. 2018 Journal Article http://hdl.handle.net/20.500.11937/73512 10.3846/mma.2018.037 restricted |
| spellingShingle | Wu, J. Zhang, Xinguang Liu, Lishan Wu, Yong Hong Cui, Y. Convergence analysis of iterative scheme and error estimation of positive solution for a fractional differential equation |
| title | Convergence analysis of iterative scheme and error estimation of positive solution for a fractional differential equation |
| title_full | Convergence analysis of iterative scheme and error estimation of positive solution for a fractional differential equation |
| title_fullStr | Convergence analysis of iterative scheme and error estimation of positive solution for a fractional differential equation |
| title_full_unstemmed | Convergence analysis of iterative scheme and error estimation of positive solution for a fractional differential equation |
| title_short | Convergence analysis of iterative scheme and error estimation of positive solution for a fractional differential equation |
| title_sort | convergence analysis of iterative scheme and error estimation of positive solution for a fractional differential equation |
| url | http://hdl.handle.net/20.500.11937/73512 |