Applying the Reproducing Kernel Method to Fractional Differential Equations with Periodic Conditions in Hilbert Space
In this article, the reproducing kernel method is presented for the fractional differential equations with periodic conditions in the Hilbert space. This method gives an approximate solution to the problem. The approximate and exact solutions are displayed in the form of series in the reproduction k...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/6261378 |
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| author | Hoda Saky Saeid Abbasbandy Elyas Shivanian |
| author_facet | Hoda Saky Saeid Abbasbandy Elyas Shivanian |
| author_sort | Hoda Saky |
| collection | DOAJ |
| description | In this article, the reproducing kernel method is presented for the fractional differential equations with periodic conditions in the Hilbert space. This method gives an approximate solution to the problem. The approximate and exact solutions are displayed in the form of series in the reproduction kernel space. In addition, we provide an error analysis for this technique. The presented method is tested by some examples to show its precision. |
| format | Article |
| id | doaj-art-2fd4c0bd25794bf9ac4748a7d66ea00f |
| institution | DOAJ |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-2fd4c0bd25794bf9ac4748a7d66ea00f2025-08-20T03:20:22ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/6261378Applying the Reproducing Kernel Method to Fractional Differential Equations with Periodic Conditions in Hilbert SpaceHoda Saky0Saeid Abbasbandy1Elyas Shivanian2Department of Applied MathematicsDepartment of Applied MathematicsDepartment of Applied MathematicsIn this article, the reproducing kernel method is presented for the fractional differential equations with periodic conditions in the Hilbert space. This method gives an approximate solution to the problem. The approximate and exact solutions are displayed in the form of series in the reproduction kernel space. In addition, we provide an error analysis for this technique. The presented method is tested by some examples to show its precision.http://dx.doi.org/10.1155/2022/6261378 |
| spellingShingle | Hoda Saky Saeid Abbasbandy Elyas Shivanian Applying the Reproducing Kernel Method to Fractional Differential Equations with Periodic Conditions in Hilbert Space Journal of Mathematics |
| title | Applying the Reproducing Kernel Method to Fractional Differential Equations with Periodic Conditions in Hilbert Space |
| title_full | Applying the Reproducing Kernel Method to Fractional Differential Equations with Periodic Conditions in Hilbert Space |
| title_fullStr | Applying the Reproducing Kernel Method to Fractional Differential Equations with Periodic Conditions in Hilbert Space |
| title_full_unstemmed | Applying the Reproducing Kernel Method to Fractional Differential Equations with Periodic Conditions in Hilbert Space |
| title_short | Applying the Reproducing Kernel Method to Fractional Differential Equations with Periodic Conditions in Hilbert Space |
| title_sort | applying the reproducing kernel method to fractional differential equations with periodic conditions in hilbert space |
| url | http://dx.doi.org/10.1155/2022/6261378 |
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