On conformable double Laplace transform and one dimensional fractional coupled Burgers' equation
In the present work we introduced a new method and name it the conformable double Laplace decomposition method to solve one dimensional regular and singular conformable functional Burger’s equation. We studied the existence condition for the conformable double Laplace transform. In order to obtain t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/38416/1/38416.pdf |
| _version_ | 1825949222209323008 |
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| author | Eltayeb, Hassan Bachar, Imed Kilicman, Adem |
| author_facet | Eltayeb, Hassan Bachar, Imed Kilicman, Adem |
| author_sort | Eltayeb, Hassan |
| collection | UPM |
| description | In the present work we introduced a new method and name it the conformable double Laplace decomposition method to solve one dimensional regular and singular conformable functional Burger’s equation. We studied the existence condition for the conformable double Laplace transform. In order to obtain the exact solution for nonlinear fractional problems, then we modified the double Laplace transform and combined it with the Adomian decomposition method. Later, we applied the new method to solve regular and singular conformable fractional coupled Burgers’ equations. Further, in order to illustrate the effectiveness of present method, we provide some examples. |
| first_indexed | 2024-03-06T08:41:14Z |
| format | Article |
| id | upm.eprints-38416 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:41:14Z |
| publishDate | 2019 |
| publisher | MDPI |
| record_format | dspace |
| spelling | upm.eprints-384162020-05-04T16:47:45Z http://psasir.upm.edu.my/id/eprint/38416/ On conformable double Laplace transform and one dimensional fractional coupled Burgers' equation Eltayeb, Hassan Bachar, Imed Kilicman, Adem In the present work we introduced a new method and name it the conformable double Laplace decomposition method to solve one dimensional regular and singular conformable functional Burger’s equation. We studied the existence condition for the conformable double Laplace transform. In order to obtain the exact solution for nonlinear fractional problems, then we modified the double Laplace transform and combined it with the Adomian decomposition method. Later, we applied the new method to solve regular and singular conformable fractional coupled Burgers’ equations. Further, in order to illustrate the effectiveness of present method, we provide some examples. MDPI 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/38416/1/38416.pdf Eltayeb, Hassan and Bachar, Imed and Kilicman, Adem (2019) On conformable double Laplace transform and one dimensional fractional coupled Burgers' equation. Symmetry, 11 (3). art. no. 417. pp. 1-13. ISSN 2073-8994 https://www.mdpi.com/2073-8994/11/3/417 10.3390/sym11030417 |
| spellingShingle | Eltayeb, Hassan Bachar, Imed Kilicman, Adem On conformable double Laplace transform and one dimensional fractional coupled Burgers' equation |
| title | On conformable double Laplace transform and one dimensional fractional coupled Burgers' equation |
| title_full | On conformable double Laplace transform and one dimensional fractional coupled Burgers' equation |
| title_fullStr | On conformable double Laplace transform and one dimensional fractional coupled Burgers' equation |
| title_full_unstemmed | On conformable double Laplace transform and one dimensional fractional coupled Burgers' equation |
| title_short | On conformable double Laplace transform and one dimensional fractional coupled Burgers' equation |
| title_sort | on conformable double laplace transform and one dimensional fractional coupled burgers equation |
| url | http://psasir.upm.edu.my/id/eprint/38416/1/38416.pdf |
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