The Periodic Solutions of the Compound Singular Fractional Differential System with Delay
The paper gives sufficient conditions on the existence of periodic solution for a class of compound singular fractional differential systems with delay, involving Nishimoto fractional derivative. Furthermore, for the particular functions, the necessary conditions on the existence of periodic solutio...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2010/509286 |
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| _version_ | 1832563124062912512 |
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| author | XuTing Wei XuanZhu Lu |
| author_facet | XuTing Wei XuanZhu Lu |
| author_sort | XuTing Wei |
| collection | DOAJ |
| description | The paper gives sufficient conditions on the existence of periodic solution for a class of compound singular fractional differential systems with delay, involving Nishimoto fractional derivative. Furthermore, for the particular functions, the necessary conditions on the existence of periodic solution are also derived. Especially, for two-dimensional compound singular fractional differential equation with delay, the criteria of existence of periodic solution are obtained. Finally, two examples are presented to verify the validity of criteria. |
| format | Article |
| id | doaj-art-ef59a71114ae4e51969b538cfe73e0d1 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-ef59a71114ae4e51969b538cfe73e0d12025-02-03T01:21:00ZengWileyInternational Journal of Differential Equations1687-96431687-96512010-01-01201010.1155/2010/509286509286The Periodic Solutions of the Compound Singular Fractional Differential System with DelayXuTing Wei0XuanZhu Lu1School of Mathematics and Computer Science, Fuzhou Universiy, Fuzhou 350108, ChinaSchool of Mathematics and Computer Science, Fuzhou Universiy, Fuzhou 350108, ChinaThe paper gives sufficient conditions on the existence of periodic solution for a class of compound singular fractional differential systems with delay, involving Nishimoto fractional derivative. Furthermore, for the particular functions, the necessary conditions on the existence of periodic solution are also derived. Especially, for two-dimensional compound singular fractional differential equation with delay, the criteria of existence of periodic solution are obtained. Finally, two examples are presented to verify the validity of criteria.http://dx.doi.org/10.1155/2010/509286 |
| spellingShingle | XuTing Wei XuanZhu Lu The Periodic Solutions of the Compound Singular Fractional Differential System with Delay International Journal of Differential Equations |
| title | The Periodic Solutions of the Compound Singular Fractional Differential System with Delay |
| title_full | The Periodic Solutions of the Compound Singular Fractional Differential System with Delay |
| title_fullStr | The Periodic Solutions of the Compound Singular Fractional Differential System with Delay |
| title_full_unstemmed | The Periodic Solutions of the Compound Singular Fractional Differential System with Delay |
| title_short | The Periodic Solutions of the Compound Singular Fractional Differential System with Delay |
| title_sort | periodic solutions of the compound singular fractional differential system with delay |
| url | http://dx.doi.org/10.1155/2010/509286 |
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