Existence and Uniqueness Results for a Coupled System of Nonlinear Fractional Differential Equations with Antiperiodic Boundary Conditions
This paper studies the existence and uniqueness of solutions for a coupled system of nonlinear fractional differential equations of order α,β∈(4,5] with antiperiodic boundary conditions. Our results are based on the nonlinear alternative of Leray-Schauder type and the contraction mapping principle....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/463517 |
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| _version_ | 1832559410469142528 |
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| author | Huina Zhang Wenjie Gao |
| author_facet | Huina Zhang Wenjie Gao |
| author_sort | Huina Zhang |
| collection | DOAJ |
| description | This paper studies the existence and uniqueness of solutions for a coupled system of nonlinear fractional differential equations of order α,β∈(4,5] with antiperiodic boundary conditions. Our results are based on the nonlinear alternative of Leray-Schauder type and the contraction mapping principle. Two illustrative examples are also presented. |
| format | Article |
| id | doaj-art-4165a66572ae4bd6bb4212d4f7ece7bd |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4165a66572ae4bd6bb4212d4f7ece7bd2025-02-03T01:30:00ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/463517463517Existence and Uniqueness Results for a Coupled System of Nonlinear Fractional Differential Equations with Antiperiodic Boundary ConditionsHuina Zhang0Wenjie Gao1Institute of Mathematics, Jilin University, Changchun 130012, ChinaInstitute of Mathematics, Jilin University, Changchun 130012, ChinaThis paper studies the existence and uniqueness of solutions for a coupled system of nonlinear fractional differential equations of order α,β∈(4,5] with antiperiodic boundary conditions. Our results are based on the nonlinear alternative of Leray-Schauder type and the contraction mapping principle. Two illustrative examples are also presented.http://dx.doi.org/10.1155/2014/463517 |
| spellingShingle | Huina Zhang Wenjie Gao Existence and Uniqueness Results for a Coupled System of Nonlinear Fractional Differential Equations with Antiperiodic Boundary Conditions Abstract and Applied Analysis |
| title | Existence and Uniqueness Results for a Coupled System of Nonlinear Fractional Differential Equations with Antiperiodic Boundary Conditions |
| title_full | Existence and Uniqueness Results for a Coupled System of Nonlinear Fractional Differential Equations with Antiperiodic Boundary Conditions |
| title_fullStr | Existence and Uniqueness Results for a Coupled System of Nonlinear Fractional Differential Equations with Antiperiodic Boundary Conditions |
| title_full_unstemmed | Existence and Uniqueness Results for a Coupled System of Nonlinear Fractional Differential Equations with Antiperiodic Boundary Conditions |
| title_short | Existence and Uniqueness Results for a Coupled System of Nonlinear Fractional Differential Equations with Antiperiodic Boundary Conditions |
| title_sort | existence and uniqueness results for a coupled system of nonlinear fractional differential equations with antiperiodic boundary conditions |
| url | http://dx.doi.org/10.1155/2014/463517 |
| work_keys_str_mv | AT huinazhang existenceanduniquenessresultsforacoupledsystemofnonlinearfractionaldifferentialequationswithantiperiodicboundaryconditions AT wenjiegao existenceanduniquenessresultsforacoupledsystemofnonlinearfractionaldifferentialequationswithantiperiodicboundaryconditions |