Positive solutions of fractional differential equation nonlocal boundary value problems
In this paper, we study the existence and uniqueness of positive solutions for a class of higher-order nonlocal fractional differential equations with Riemann-Stieltjes integral boundary conditions. We firstly convert the problem to an equivalent integral equation, and then by applying a fixed point...
| Main Authors: | , , |
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| Format: | Journal Article |
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Springer Verlag
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/22955 |
| _version_ | 1848751017478324224 |
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| author | Tan, J. Cheng, C. Zhang, Xinguang |
| author_facet | Tan, J. Cheng, C. Zhang, Xinguang |
| author_sort | Tan, J. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we study the existence and uniqueness of positive solutions for a class of higher-order nonlocal fractional differential equations with Riemann-Stieltjes integral boundary conditions. We firstly convert the problem to an equivalent integral equation, and then by applying a fixed point theorem of a sum operator, the existence and uniqueness of positive solutions is established. Furthermore, an iterative scheme to approximate the solution is constructed and an example is given to illuminate the application of the main results. |
| first_indexed | 2025-11-14T07:46:02Z |
| format | Journal Article |
| id | curtin-20.500.11937-22955 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:46:02Z |
| publishDate | 2015 |
| publisher | Springer Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-229552017-09-13T13:59:01Z Positive solutions of fractional differential equation nonlocal boundary value problems Tan, J. Cheng, C. Zhang, Xinguang In this paper, we study the existence and uniqueness of positive solutions for a class of higher-order nonlocal fractional differential equations with Riemann-Stieltjes integral boundary conditions. We firstly convert the problem to an equivalent integral equation, and then by applying a fixed point theorem of a sum operator, the existence and uniqueness of positive solutions is established. Furthermore, an iterative scheme to approximate the solution is constructed and an example is given to illuminate the application of the main results. 2015 Journal Article http://hdl.handle.net/20.500.11937/22955 10.1186/s13662-015-0582-8 Springer Verlag unknown |
| spellingShingle | Tan, J. Cheng, C. Zhang, Xinguang Positive solutions of fractional differential equation nonlocal boundary value problems |
| title | Positive solutions of fractional differential equation nonlocal boundary value problems |
| title_full | Positive solutions of fractional differential equation nonlocal boundary value problems |
| title_fullStr | Positive solutions of fractional differential equation nonlocal boundary value problems |
| title_full_unstemmed | Positive solutions of fractional differential equation nonlocal boundary value problems |
| title_short | Positive solutions of fractional differential equation nonlocal boundary value problems |
| title_sort | positive solutions of fractional differential equation nonlocal boundary value problems |
| url | http://hdl.handle.net/20.500.11937/22955 |