Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection
Fractional order derivative is nonlocal which exhibits a long time memory behavior. With advantage of these, fractional order dynamic system models are more accurate than integer order ones in understanding the dynamic behavior of bioprocesses such as HIV infection. In this paper, we systematically...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Elsevier
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/40256 |
| _version_ | 1848755819309432832 |
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| author | Wang, Y. Liu, L. Zhang, X. Wu, Yong Hong |
| author_facet | Wang, Y. Liu, L. Zhang, X. Wu, Yong Hong |
| author_sort | Wang, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Fractional order derivative is nonlocal which exhibits a long time memory behavior. With advantage of these, fractional order dynamic system models are more accurate than integer order ones in understanding the dynamic behavior of bioprocesses such as HIV infection. In this paper, we systematically study the existence of positive solutions of an abstract fractional semipositone differential system involving integral boundary conditions arising from the study of HIV infection models. By using the fixed point theorem in cone, some new results are established and an example is given to demonstrate the application of our main results. |
| first_indexed | 2025-11-14T09:02:22Z |
| format | Journal Article |
| id | curtin-20.500.11937-40256 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:02:22Z |
| publishDate | 2015 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-402562018-12-14T00:53:37Z Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection Wang, Y. Liu, L. Zhang, X. Wu, Yong Hong Fixed point theorem in cone Integral boundary conditions Fractional differential system Semipositone Positive solutions HIV infection model Fractional order derivative is nonlocal which exhibits a long time memory behavior. With advantage of these, fractional order dynamic system models are more accurate than integer order ones in understanding the dynamic behavior of bioprocesses such as HIV infection. In this paper, we systematically study the existence of positive solutions of an abstract fractional semipositone differential system involving integral boundary conditions arising from the study of HIV infection models. By using the fixed point theorem in cone, some new results are established and an example is given to demonstrate the application of our main results. 2015 Journal Article http://hdl.handle.net/20.500.11937/40256 10.1016/j.amc.2015.01.080 Elsevier restricted |
| spellingShingle | Fixed point theorem in cone Integral boundary conditions Fractional differential system Semipositone Positive solutions HIV infection model Wang, Y. Liu, L. Zhang, X. Wu, Yong Hong Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection |
| title | Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection |
| title_full | Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection |
| title_fullStr | Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection |
| title_full_unstemmed | Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection |
| title_short | Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection |
| title_sort | positive solutions of an abstract fractional semipositone differential system model for bioprocesses of hiv infection |
| topic | Fixed point theorem in cone Integral boundary conditions Fractional differential system Semipositone Positive solutions HIV infection model |
| url | http://hdl.handle.net/20.500.11937/40256 |