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 an...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/142391 |
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| _version_ | 1850235774972198912 |
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| author | Ying Wang Lishan Liu Xinguang Zhang Yonghong Wu |
| author_facet | Ying Wang Lishan Liu Xinguang Zhang Yonghong Wu |
| author_sort | Ying Wang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-0ec5132362d2475d948978d5b4ea855a |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0ec5132362d2475d948978d5b4ea855a2025-08-20T02:02:09ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/142391142391Positive Solutions for (n-1,1)-Type Singular Fractional Differential System with Coupled Integral Boundary ConditionsYing Wang0Lishan Liu1Xinguang Zhang2Yonghong Wu3School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaDepartment of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, AustraliaDepartment of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, AustraliaWe 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.http://dx.doi.org/10.1155/2014/142391 |
| spellingShingle | Ying Wang Lishan Liu Xinguang Zhang Yonghong Wu Positive Solutions for (n-1,1)-Type Singular Fractional Differential System with Coupled Integral Boundary Conditions Abstract and Applied Analysis |
| 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://dx.doi.org/10.1155/2014/142391 |
| work_keys_str_mv | AT yingwang positivesolutionsforn11typesingularfractionaldifferentialsystemwithcoupledintegralboundaryconditions AT lishanliu positivesolutionsforn11typesingularfractionaldifferentialsystemwithcoupledintegralboundaryconditions AT xinguangzhang positivesolutionsforn11typesingularfractionaldifferentialsystemwithcoupledintegralboundaryconditions AT yonghongwu positivesolutionsforn11typesingularfractionaldifferentialsystemwithcoupledintegralboundaryconditions |