A collocation method for solving boundary value problems of fractional order
In this paper, the sinc collocation method is used to obtain the solution of the second-order fractional boundary value problems based on the conformable fractional derivative. For this purpose a theorem is proved to represent the terms having fractional derivatives in terms of sinc basis functions....
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| Format: | Article |
| Language: | English |
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Sakarya University
2018-12-01
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| Series: | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/444905 |
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| _version_ | 1846111537011359744 |
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| author | Sertan Alkan Aydin Seçer |
| author_facet | Sertan Alkan Aydin Seçer |
| author_sort | Sertan Alkan |
| collection | DOAJ |
| description | In this paper, the sinc collocation method is used to obtain the solution of the second-order fractional boundary value problems based on the conformable fractional derivative. For this purpose a theorem is proved to represent the terms having fractional derivatives in terms of sinc basis functions. To show the efficiency and accuracy of the present method, some problems are solved and the obtained solutions are compared with the approximate solutions obtained by using the other numerical methods as well as the exact solutions of the problems. |
| format | Article |
| id | doaj-art-4a17ef64a79842b9934b34ed02ac5b2a |
| institution | Kabale University |
| issn | 2147-835X |
| language | English |
| publishDate | 2018-12-01 |
| publisher | Sakarya University |
| record_format | Article |
| series | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
| spelling | doaj-art-4a17ef64a79842b9934b34ed02ac5b2a2024-12-23T07:59:09ZengSakarya UniversitySakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi2147-835X2018-12-012261601160810.16984/saufenbilder.35208828A collocation method for solving boundary value problems of fractional orderSertan Alkan0Aydin Seçer1ISKENDERUN TECHNICAL UNIVERSITYYildiz Technical UniversityIn this paper, the sinc collocation method is used to obtain the solution of the second-order fractional boundary value problems based on the conformable fractional derivative. For this purpose a theorem is proved to represent the terms having fractional derivatives in terms of sinc basis functions. To show the efficiency and accuracy of the present method, some problems are solved and the obtained solutions are compared with the approximate solutions obtained by using the other numerical methods as well as the exact solutions of the problems.https://dergipark.org.tr/tr/download/article-file/444905differential equations of fractional orderboundary value problemskesirli mertebeden diferansiyel denklemler |
| spellingShingle | Sertan Alkan Aydin Seçer A collocation method for solving boundary value problems of fractional order Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi differential equations of fractional order boundary value problems kesirli mertebeden diferansiyel denklemler |
| title | A collocation method for solving boundary value problems of fractional order |
| title_full | A collocation method for solving boundary value problems of fractional order |
| title_fullStr | A collocation method for solving boundary value problems of fractional order |
| title_full_unstemmed | A collocation method for solving boundary value problems of fractional order |
| title_short | A collocation method for solving boundary value problems of fractional order |
| title_sort | collocation method for solving boundary value problems of fractional order |
| topic | differential equations of fractional order boundary value problems kesirli mertebeden diferansiyel denklemler |
| url | https://dergipark.org.tr/tr/download/article-file/444905 |
| work_keys_str_mv | AT sertanalkan acollocationmethodforsolvingboundaryvalueproblemsoffractionalorder AT aydinsecer acollocationmethodforsolvingboundaryvalueproblemsoffractionalorder AT sertanalkan collocationmethodforsolvingboundaryvalueproblemsoffractionalorder AT aydinsecer collocationmethodforsolvingboundaryvalueproblemsoffractionalorder |