On Antiperiodic Boundary Value Problems for Higher-Order Fractional Differential Equations
We study an antiperiodic boundary value problem of nonlinear fractional differential equations of order q∈(4,5]. Some existence results are obtained by applying some standard tools of fixed-point theory. We show that solutions for lower-order anti-periodic fractional boundary value problems follow f...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/325984 |
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| _version_ | 1850230293647065088 |
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| author | Ahmed Alsaedi Bashir Ahmad Afrah Assolami |
| author_facet | Ahmed Alsaedi Bashir Ahmad Afrah Assolami |
| author_sort | Ahmed Alsaedi |
| collection | DOAJ |
| description | We study an antiperiodic boundary value problem of nonlinear fractional differential equations of order q∈(4,5]. Some existence results are obtained by applying some standard tools of fixed-point theory. We show that solutions for lower-order anti-periodic fractional boundary value problems follow from the solution of the problem at hand. Our results are new and generalize the existing results on anti-periodic fractional boundary value problems. The paper concludes with some illustrating examples. |
| format | Article |
| id | doaj-art-20dc6c2785bb4ffe88ed240ec6a2ec97 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-20dc6c2785bb4ffe88ed240ec6a2ec972025-08-20T02:03:55ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/325984325984On Antiperiodic Boundary Value Problems for Higher-Order Fractional Differential EquationsAhmed Alsaedi0Bashir Ahmad1Afrah Assolami2Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe study an antiperiodic boundary value problem of nonlinear fractional differential equations of order q∈(4,5]. Some existence results are obtained by applying some standard tools of fixed-point theory. We show that solutions for lower-order anti-periodic fractional boundary value problems follow from the solution of the problem at hand. Our results are new and generalize the existing results on anti-periodic fractional boundary value problems. The paper concludes with some illustrating examples.http://dx.doi.org/10.1155/2012/325984 |
| spellingShingle | Ahmed Alsaedi Bashir Ahmad Afrah Assolami On Antiperiodic Boundary Value Problems for Higher-Order Fractional Differential Equations Abstract and Applied Analysis |
| title | On Antiperiodic Boundary Value Problems for Higher-Order Fractional Differential Equations |
| title_full | On Antiperiodic Boundary Value Problems for Higher-Order Fractional Differential Equations |
| title_fullStr | On Antiperiodic Boundary Value Problems for Higher-Order Fractional Differential Equations |
| title_full_unstemmed | On Antiperiodic Boundary Value Problems for Higher-Order Fractional Differential Equations |
| title_short | On Antiperiodic Boundary Value Problems for Higher-Order Fractional Differential Equations |
| title_sort | on antiperiodic boundary value problems for higher order fractional differential equations |
| url | http://dx.doi.org/10.1155/2012/325984 |
| work_keys_str_mv | AT ahmedalsaedi onantiperiodicboundaryvalueproblemsforhigherorderfractionaldifferentialequations AT bashirahmad onantiperiodicboundaryvalueproblemsforhigherorderfractionaldifferentialequations AT afrahassolami onantiperiodicboundaryvalueproblemsforhigherorderfractionaldifferentialequations |