Positive Solutions for Coupled Nonlinear Fractional Differential Equations
We consider the existence of positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary values. Assume the nonlinear term is superlinear in one equation and sublinear in the other equation. By constructing two cones K1, K2 and computing the fixed po...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/790862 |
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| _version_ | 1832565322249404416 |
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| author | Wenning Liu Xingjie Yan Wei Qi |
| author_facet | Wenning Liu Xingjie Yan Wei Qi |
| author_sort | Wenning Liu |
| collection | DOAJ |
| description | We consider the existence of positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary values. Assume the nonlinear term is superlinear in one equation and sublinear in the other equation. By constructing two cones K1, K2 and computing the fixed point index in product cone K1×K2, we obtain that the system has a pair of positive solutions. It is remarkable that it is established on the Cartesian product of two cones, in which the feature of two equations can be opposite. |
| format | Article |
| id | doaj-art-ad78f2c353de4662bfd6efd8358008dd |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-ad78f2c353de4662bfd6efd8358008dd2025-02-03T01:08:06ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/790862790862Positive Solutions for Coupled Nonlinear Fractional Differential EquationsWenning Liu0Xingjie Yan1Wei Qi2Department of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaDepartment of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaDepartment of Physics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaWe consider the existence of positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary values. Assume the nonlinear term is superlinear in one equation and sublinear in the other equation. By constructing two cones K1, K2 and computing the fixed point index in product cone K1×K2, we obtain that the system has a pair of positive solutions. It is remarkable that it is established on the Cartesian product of two cones, in which the feature of two equations can be opposite.http://dx.doi.org/10.1155/2014/790862 |
| spellingShingle | Wenning Liu Xingjie Yan Wei Qi Positive Solutions for Coupled Nonlinear Fractional Differential Equations Journal of Applied Mathematics |
| title | Positive Solutions for Coupled Nonlinear Fractional Differential Equations |
| title_full | Positive Solutions for Coupled Nonlinear Fractional Differential Equations |
| title_fullStr | Positive Solutions for Coupled Nonlinear Fractional Differential Equations |
| title_full_unstemmed | Positive Solutions for Coupled Nonlinear Fractional Differential Equations |
| title_short | Positive Solutions for Coupled Nonlinear Fractional Differential Equations |
| title_sort | positive solutions for coupled nonlinear fractional differential equations |
| url | http://dx.doi.org/10.1155/2014/790862 |
| work_keys_str_mv | AT wenningliu positivesolutionsforcouplednonlinearfractionaldifferentialequations AT xingjieyan positivesolutionsforcouplednonlinearfractionaldifferentialequations AT weiqi positivesolutionsforcouplednonlinearfractionaldifferentialequations |