Asymptotic Solutions of Time-Space Fractional Coupled Systems by Residual Power Series Method
This paper focuses on the asymptotic solutions to time-space fractional coupled systems, where the fractional derivative and integral are described in the sense of Caputo derivative and Riemann-Liouville integral. We introduce the Residual Power Series (for short RPS) method to construct the desired...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/7695924 |
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| _version_ | 1832547600362897408 |
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| author | Wenjin Li Yanni Pang |
| author_facet | Wenjin Li Yanni Pang |
| author_sort | Wenjin Li |
| collection | DOAJ |
| description | This paper focuses on the asymptotic solutions to time-space fractional coupled systems, where the fractional derivative and integral are described in the sense of Caputo derivative and Riemann-Liouville integral. We introduce the Residual Power Series (for short RPS) method to construct the desired asymptotic solutions. Furthermore, we apply this method to some time-space fractional coupled systems. The simplicity and efficiency of RPS method are shown by the application. |
| format | Article |
| id | doaj-art-c003e8405b094375afe94da67ee4fae9 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-c003e8405b094375afe94da67ee4fae92025-02-03T06:44:21ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/76959247695924Asymptotic Solutions of Time-Space Fractional Coupled Systems by Residual Power Series MethodWenjin Li0Yanni Pang1School of Applied Mathematics, Jilin University of Finance and Economics, Changchun, Jilin 130117, ChinaSchool of Mathematics, Jilin University, Changchun, Jilin 130012, ChinaThis paper focuses on the asymptotic solutions to time-space fractional coupled systems, where the fractional derivative and integral are described in the sense of Caputo derivative and Riemann-Liouville integral. We introduce the Residual Power Series (for short RPS) method to construct the desired asymptotic solutions. Furthermore, we apply this method to some time-space fractional coupled systems. The simplicity and efficiency of RPS method are shown by the application.http://dx.doi.org/10.1155/2017/7695924 |
| spellingShingle | Wenjin Li Yanni Pang Asymptotic Solutions of Time-Space Fractional Coupled Systems by Residual Power Series Method Discrete Dynamics in Nature and Society |
| title | Asymptotic Solutions of Time-Space Fractional Coupled Systems by Residual Power Series Method |
| title_full | Asymptotic Solutions of Time-Space Fractional Coupled Systems by Residual Power Series Method |
| title_fullStr | Asymptotic Solutions of Time-Space Fractional Coupled Systems by Residual Power Series Method |
| title_full_unstemmed | Asymptotic Solutions of Time-Space Fractional Coupled Systems by Residual Power Series Method |
| title_short | Asymptotic Solutions of Time-Space Fractional Coupled Systems by Residual Power Series Method |
| title_sort | asymptotic solutions of time space fractional coupled systems by residual power series method |
| url | http://dx.doi.org/10.1155/2017/7695924 |
| work_keys_str_mv | AT wenjinli asymptoticsolutionsoftimespacefractionalcoupledsystemsbyresidualpowerseriesmethod AT yannipang asymptoticsolutionsoftimespacefractionalcoupledsystemsbyresidualpowerseriesmethod |