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 t...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-03-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/11/3/417 |
| _version_ | 1798026753127481344 |
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| author | Hassan Eltayeb Imed Bachar Adem Kılıçman |
| author_facet | Hassan Eltayeb Imed Bachar Adem Kılıçman |
| author_sort | Hassan Eltayeb |
| collection | DOAJ |
| 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 | 2024-04-11T18:41:54Z |
| format | Article |
| id | doaj.art-456f1f2487a646268be779cb91e11315 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T18:41:54Z |
| publishDate | 2019-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-456f1f2487a646268be779cb91e113152022-12-22T04:08:58ZengMDPI AGSymmetry2073-89942019-03-0111341710.3390/sym11030417sym11030417On Conformable Double Laplace Transform and One Dimensional Fractional Coupled Burgers’ EquationHassan Eltayeb0Imed Bachar1Adem Kılıçman2Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaMathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400 UPM, Selangor, MalaysiaIn 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.https://www.mdpi.com/2073-8994/11/3/417conformable fractional derivativeconformable partial fractional derivativeconformable double Laplace decomposition methodconformable Laplace transformsingular one dimensional coupled Burgers’ equation |
| spellingShingle | Hassan Eltayeb Imed Bachar Adem Kılıçman On Conformable Double Laplace Transform and One Dimensional Fractional Coupled Burgers’ Equation Symmetry conformable fractional derivative conformable partial fractional derivative conformable double Laplace decomposition method conformable Laplace transform singular one dimensional 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 |
| topic | conformable fractional derivative conformable partial fractional derivative conformable double Laplace decomposition method conformable Laplace transform singular one dimensional coupled Burgers’ equation |
| url | https://www.mdpi.com/2073-8994/11/3/417 |
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