Positive Solutions for (n - 1,1) -Type Singular Fractional Differential System with Coupled Integral Boundary Conditions
We study the positive solutions of the (n - 1,1)-type fractional differential system with coupled integral boundary conditions. The conditions for the existence of positive solutions to the system are established. In addition, we derive explicit formulae for the estimation of the positive solutions...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Hindawi Publishing Corporation
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/2813 |
| _version_ | 1848744056185683968 |
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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 | We study the positive solutions of the (n - 1,1)-type fractional differential system with coupled integral boundary conditions. The conditions for the existence of positive solutions to the system are established. In addition, we derive explicit formulae for the estimation of the positive solutions and obtain the unique positive solution when certain additional conditions hold. An example is then given to demonstrate the validity of our main results. |
| first_indexed | 2025-11-14T05:55:23Z |
| format | Journal Article |
| id | curtin-20.500.11937-2813 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T05:55:23Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-28132017-09-13T14:30:54Z Positive Solutions for (n - 1,1) -Type Singular Fractional Differential System with Coupled Integral Boundary Conditions Wang, Y. Liu, L. Zhang, X. Wu, Yong Hong We study the positive solutions of the (n - 1,1)-type fractional differential system with coupled integral boundary conditions. The conditions for the existence of positive solutions to the system are established. In addition, we derive explicit formulae for the estimation of the positive solutions and obtain the unique positive solution when certain additional conditions hold. An example is then given to demonstrate the validity of our main results. 2014 Journal Article http://hdl.handle.net/20.500.11937/2813 10.1155/2014/142391 Hindawi Publishing Corporation fulltext |
| spellingShingle | Wang, Y. Liu, L. Zhang, X. Wu, Yong Hong Positive Solutions for (n - 1,1) -Type Singular Fractional Differential System with Coupled Integral Boundary Conditions |
| title | Positive Solutions for (n - 1,1) -Type Singular Fractional Differential System with Coupled Integral Boundary Conditions |
| title_full | Positive Solutions for (n - 1,1) -Type Singular Fractional Differential System with Coupled Integral Boundary Conditions |
| title_fullStr | Positive Solutions for (n - 1,1) -Type Singular Fractional Differential System with Coupled Integral Boundary Conditions |
| title_full_unstemmed | Positive Solutions for (n - 1,1) -Type Singular Fractional Differential System with Coupled Integral Boundary Conditions |
| title_short | Positive Solutions for (n - 1,1) -Type Singular Fractional Differential System with Coupled Integral Boundary Conditions |
| title_sort | positive solutions for (n - 1,1) -type singular fractional differential system with coupled integral boundary conditions |
| url | http://hdl.handle.net/20.500.11937/2813 |