Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations
By means of a monotone iterative technique, we establish the existence and uniqueness of the positive solutions for a class of higher conjugate-type fractional differential equation with one nonlocal term. In addition, the iterative sequences of solution and error estimation are also given. In parti...
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| Format: | Journal Article |
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Elsevier
2012
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0893965911004708 http://hdl.handle.net/20.500.11937/21191 |
| _version_ | 1848750521325715456 |
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| author | Zhang, Xinguang Han, Y. |
| author_facet | Zhang, Xinguang Han, Y. |
| author_sort | Zhang, Xinguang |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | By means of a monotone iterative technique, we establish the existence and uniqueness of the positive solutions for a class of higher conjugate-type fractional differential equation with one nonlocal term. In addition, the iterative sequences of solution and error estimation are also given. In particular, this model comes from economics, financial mathematics and other applied sciences, since the initial value of the iterative sequence can begin from an known function, this is simpler and helpful for computation. |
| first_indexed | 2025-11-14T07:38:09Z |
| format | Journal Article |
| id | curtin-20.500.11937-21191 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:38:09Z |
| publishDate | 2012 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-211912017-02-28T01:36:13Z Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations Zhang, Xinguang Han, Y. Positive solution Existence and uniqueness Fractional differential equation Monotone iterative technique By means of a monotone iterative technique, we establish the existence and uniqueness of the positive solutions for a class of higher conjugate-type fractional differential equation with one nonlocal term. In addition, the iterative sequences of solution and error estimation are also given. In particular, this model comes from economics, financial mathematics and other applied sciences, since the initial value of the iterative sequence can begin from an known function, this is simpler and helpful for computation. 2012 Journal Article http://hdl.handle.net/20.500.11937/21191 http://www.sciencedirect.com/science/article/pii/S0893965911004708 Elsevier restricted |
| spellingShingle | Positive solution Existence and uniqueness Fractional differential equation Monotone iterative technique Zhang, Xinguang Han, Y. Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations |
| title | Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations |
| title_full | Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations |
| title_fullStr | Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations |
| title_full_unstemmed | Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations |
| title_short | Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations |
| title_sort | existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations |
| topic | Positive solution Existence and uniqueness Fractional differential equation Monotone iterative technique |
| url | http://www.sciencedirect.com/science/article/pii/S0893965911004708 http://hdl.handle.net/20.500.11937/21191 |