Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations
© 2018 Xinqiu Zhang et al. We study the existence and uniqueness of positive solution for a class of nonlinear binary operator equations systems by means of the cone theory and monotone iterative technique, under more general conditions. Also, we give the iterative sequence of the solution and the e...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/71265 |
| _version_ | 1848762434171437056 |
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| author | Zhang, X. Liu, Lishan Zou, Y. |
| author_facet | Zhang, X. Liu, Lishan Zou, Y. |
| author_sort | Zhang, X. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2018 Xinqiu Zhang et al. We study the existence and uniqueness of positive solution for a class of nonlinear binary operator equations systems by means of the cone theory and monotone iterative technique, under more general conditions. Also, we give the iterative sequence of the solution and the error estimation of the system. Moreover, we use this new result to study the existence and uniqueness of the solutions for fractional differential equations systems involving integral boundary value conditions in ordered Banach spaces as an application. The results obtained in this paper are more general than many previous results and complement them. |
| first_indexed | 2025-11-14T10:47:30Z |
| format | Journal Article |
| id | curtin-20.500.11937-71265 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:47:30Z |
| publishDate | 2018 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-712652018-12-13T09:32:38Z Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations Zhang, X. Liu, Lishan Zou, Y. © 2018 Xinqiu Zhang et al. We study the existence and uniqueness of positive solution for a class of nonlinear binary operator equations systems by means of the cone theory and monotone iterative technique, under more general conditions. Also, we give the iterative sequence of the solution and the error estimation of the system. Moreover, we use this new result to study the existence and uniqueness of the solutions for fractional differential equations systems involving integral boundary value conditions in ordered Banach spaces as an application. The results obtained in this paper are more general than many previous results and complement them. 2018 Journal Article http://hdl.handle.net/20.500.11937/71265 10.1155/2018/7469868 restricted |
| spellingShingle | Zhang, X. Liu, Lishan Zou, Y. Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations |
| title | Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations |
| title_full | Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations |
| title_fullStr | Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations |
| title_full_unstemmed | Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations |
| title_short | Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations |
| title_sort | fixed-point theorems for systems of operator equations and their applications to the fractional differential equations |
| url | http://hdl.handle.net/20.500.11937/71265 |