Positive Solutions for System of Nonlinear Fractional Differential Equations in Two Dimensions with Delay
We investigate the existence and uniqueness of positive solution for system of nonlinear fractional differential equations in two dimensions with delay. Our analysis relies on a nonlinear alternative of Leray-Schauder type and Krasnoselskii's fixed point theorem in a cone.
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/536317 |
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| _version_ | 1832558295032791040 |
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| author | Azizollah Babakhani |
| author_facet | Azizollah Babakhani |
| author_sort | Azizollah Babakhani |
| collection | DOAJ |
| description | We investigate the existence and uniqueness of positive solution for system of nonlinear fractional differential equations in two dimensions with delay. Our analysis relies on a nonlinear alternative of Leray-Schauder type and Krasnoselskii's fixed point theorem in a cone. |
| format | Article |
| id | doaj-art-185b920bce4f4f02a45e9bc5f63f6e9a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-185b920bce4f4f02a45e9bc5f63f6e9a2025-02-03T01:32:45ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/536317536317Positive Solutions for System of Nonlinear Fractional Differential Equations in Two Dimensions with DelayAzizollah Babakhani0Department of Basic Science, Babol University of Technology, Babol 47148-71167, IranWe investigate the existence and uniqueness of positive solution for system of nonlinear fractional differential equations in two dimensions with delay. Our analysis relies on a nonlinear alternative of Leray-Schauder type and Krasnoselskii's fixed point theorem in a cone.http://dx.doi.org/10.1155/2010/536317 |
| spellingShingle | Azizollah Babakhani Positive Solutions for System of Nonlinear Fractional Differential Equations in Two Dimensions with Delay Abstract and Applied Analysis |
| title | Positive Solutions for System of Nonlinear Fractional Differential Equations in Two Dimensions with Delay |
| title_full | Positive Solutions for System of Nonlinear Fractional Differential Equations in Two Dimensions with Delay |
| title_fullStr | Positive Solutions for System of Nonlinear Fractional Differential Equations in Two Dimensions with Delay |
| title_full_unstemmed | Positive Solutions for System of Nonlinear Fractional Differential Equations in Two Dimensions with Delay |
| title_short | Positive Solutions for System of Nonlinear Fractional Differential Equations in Two Dimensions with Delay |
| title_sort | positive solutions for system of nonlinear fractional differential equations in two dimensions with delay |
| url | http://dx.doi.org/10.1155/2010/536317 |
| work_keys_str_mv | AT azizollahbabakhani positivesolutionsforsystemofnonlinearfractionaldifferentialequationsintwodimensionswithdelay |