Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition
In this article, we first establish an existence and uniqueness result for a class of systems of nonlinear operator equations under more general conditions by means of the cone theory and monotone iterative technique. Furthermore, the iterative sequence of the solution and the error estimation of th...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
SpringerOpen
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/69733 |
| _version_ | 1848762119907966976 |
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| author | Zhang, X. Liu, Lishan Wu, Yong Hong Zou, Y. |
| author_facet | Zhang, X. Liu, Lishan Wu, Yong Hong Zou, Y. |
| author_sort | Zhang, X. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this article, we first establish an existence and uniqueness result for a class of systems of nonlinear operator equations under more general conditions by means of the cone theory and monotone iterative technique. Furthermore, the iterative sequence of the solution and the error estimation of the system are given. Then we use this new result to study the existence and uniqueness of the solution for boundary value problems of systems of fractional differential equations with a Riemann–Stieltjes integral boundary condition in real Banach spaces. The results obtained in this paper are more general than many previous results and complement them. |
| first_indexed | 2025-11-14T10:42:30Z |
| format | Journal Article |
| id | curtin-20.500.11937-69733 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:42:30Z |
| publishDate | 2018 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-697332018-08-22T03:01:05Z Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition Zhang, X. Liu, Lishan Wu, Yong Hong Zou, Y. In this article, we first establish an existence and uniqueness result for a class of systems of nonlinear operator equations under more general conditions by means of the cone theory and monotone iterative technique. Furthermore, the iterative sequence of the solution and the error estimation of the system are given. Then we use this new result to study the existence and uniqueness of the solution for boundary value problems of systems of fractional differential equations with a Riemann–Stieltjes integral boundary condition in real Banach spaces. The results obtained in this paper are more general than many previous results and complement them. 2018 Journal Article http://hdl.handle.net/20.500.11937/69733 10.1186/s13662-018-1650-7 http://creativecommons.org/licenses/by/4.0/ SpringerOpen fulltext |
| spellingShingle | Zhang, X. Liu, Lishan Wu, Yong Hong Zou, Y. Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition |
| title | Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition |
| title_full | Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition |
| title_fullStr | Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition |
| title_full_unstemmed | Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition |
| title_short | Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition |
| title_sort | existence and uniqueness of solutions for systems of fractional differential equations with riemann–stieltjes integral boundary condition |
| url | http://hdl.handle.net/20.500.11937/69733 |