Generalized Antiperiodic Boundary Value Problems for the Fractional Differential Equation with p-Laplacian Operator
We discuss the existence of solutions about generalized antiperiodic boundary value problems for the fractional differential equation with p-Laplacian operator , , , , , , where is the Caputo fractional derivative, , , , and , , , . Our results are based on fixed point theorem and contraction mapp...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/308024 |
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| _version_ | 1832555835987853312 |
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| author | Zhi-Wei Lv Xu-Dong Zheng |
| author_facet | Zhi-Wei Lv Xu-Dong Zheng |
| author_sort | Zhi-Wei Lv |
| collection | DOAJ |
| description | We discuss the existence of solutions about generalized antiperiodic boundary value problems for the fractional differential equation with p-Laplacian operator , , , , , , where is the Caputo fractional derivative, , , , and , , , . Our results are based on fixed point theorem and contraction mapping principle. Furthermore, three examples are also given to illustrate the results. |
| format | Article |
| id | doaj-art-fc731a192c63434b842b41cac130bcd7 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-fc731a192c63434b842b41cac130bcd72025-02-03T05:47:06ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/308024308024Generalized Antiperiodic Boundary Value Problems for the Fractional Differential Equation with p-Laplacian OperatorZhi-Wei Lv0Xu-Dong Zheng1Department of Mathematics, Zhengzhou University, Zhengzhou, Henan 450001, ChinaDepartment of Mathematics and Physics, Anyang Institute of Technology, Anyang, Henan 455000, ChinaWe discuss the existence of solutions about generalized antiperiodic boundary value problems for the fractional differential equation with p-Laplacian operator , , , , , , where is the Caputo fractional derivative, , , , and , , , . Our results are based on fixed point theorem and contraction mapping principle. Furthermore, three examples are also given to illustrate the results.http://dx.doi.org/10.1155/2013/308024 |
| spellingShingle | Zhi-Wei Lv Xu-Dong Zheng Generalized Antiperiodic Boundary Value Problems for the Fractional Differential Equation with p-Laplacian Operator Discrete Dynamics in Nature and Society |
| title | Generalized Antiperiodic Boundary Value Problems for the Fractional Differential Equation with p-Laplacian Operator |
| title_full | Generalized Antiperiodic Boundary Value Problems for the Fractional Differential Equation with p-Laplacian Operator |
| title_fullStr | Generalized Antiperiodic Boundary Value Problems for the Fractional Differential Equation with p-Laplacian Operator |
| title_full_unstemmed | Generalized Antiperiodic Boundary Value Problems for the Fractional Differential Equation with p-Laplacian Operator |
| title_short | Generalized Antiperiodic Boundary Value Problems for the Fractional Differential Equation with p-Laplacian Operator |
| title_sort | generalized antiperiodic boundary value problems for the fractional differential equation with p laplacian operator |
| url | http://dx.doi.org/10.1155/2013/308024 |
| work_keys_str_mv | AT zhiweilv generalizedantiperiodicboundaryvalueproblemsforthefractionaldifferentialequationwithplaplacianoperator AT xudongzheng generalizedantiperiodicboundaryvalueproblemsforthefractionaldifferentialequationwithplaplacianoperator |