The eigenvalue for a class of singular p-laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition
In this paper, we are concerned with the eigenvalue problem of a class of singular p-Laplacian fractional differential equations involving the Riemann–Stieltjes integral boundary condition. The conditions for the existence of at least one positive solution is established together with the estimates...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Elsevier Inc.
2014
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/16169 |
| _version_ | 1848749098591584256 |
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| author | Zhang, Xinguang Liu, L. Wiwatanapataphee, B. Wu, Yong Hong |
| author_facet | Zhang, Xinguang Liu, L. Wiwatanapataphee, B. Wu, Yong Hong |
| author_sort | Zhang, Xinguang |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we are concerned with the eigenvalue problem of a class of singular p-Laplacian fractional differential equations involving the Riemann–Stieltjes integral boundary condition. The conditions for the existence of at least one positive solution is established together with the estimates of the lower and upper bounds of the solution at any instant of time. Our results are derived based on the method of upper and lower solutions and the Schauder fixed point theorem. |
| first_indexed | 2025-11-14T07:15:32Z |
| format | Journal Article |
| id | curtin-20.500.11937-16169 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:15:32Z |
| publishDate | 2014 |
| publisher | Elsevier Inc. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-161692017-09-13T15:03:20Z The eigenvalue for a class of singular p-laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition Zhang, Xinguang Liu, L. Wiwatanapataphee, B. Wu, Yong Hong Integral boundary condition Upper and lower solutions p-Laplacian operator Fractional differential equation Eigenvalue In this paper, we are concerned with the eigenvalue problem of a class of singular p-Laplacian fractional differential equations involving the Riemann–Stieltjes integral boundary condition. The conditions for the existence of at least one positive solution is established together with the estimates of the lower and upper bounds of the solution at any instant of time. Our results are derived based on the method of upper and lower solutions and the Schauder fixed point theorem. 2014 Journal Article http://hdl.handle.net/20.500.11937/16169 10.1016/j.amc.2014.02.062 Elsevier Inc. restricted |
| spellingShingle | Integral boundary condition Upper and lower solutions p-Laplacian operator Fractional differential equation Eigenvalue Zhang, Xinguang Liu, L. Wiwatanapataphee, B. Wu, Yong Hong The eigenvalue for a class of singular p-laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition |
| title | The eigenvalue for a class of singular p-laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition |
| title_full | The eigenvalue for a class of singular p-laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition |
| title_fullStr | The eigenvalue for a class of singular p-laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition |
| title_full_unstemmed | The eigenvalue for a class of singular p-laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition |
| title_short | The eigenvalue for a class of singular p-laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition |
| title_sort | eigenvalue for a class of singular p-laplacian fractional differential equations involving the riemann-stieltjes integral boundary condition |
| topic | Integral boundary condition Upper and lower solutions p-Laplacian operator Fractional differential equation Eigenvalue |
| url | http://hdl.handle.net/20.500.11937/16169 |