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On conformable double Laplace transform and one dimensional fractional coupled Burgers' equation


Citation

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

Abstract

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.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.3390/sym11030417
Publisher: MDPI
Keywords: Conformable fractional derivative; Conformable partial fractional derivative; Conformable double Laplace decomposition method; Conformable Laplace transform; Singular one dimensional coupled Burgers' equation
Depositing User: Nabilah Mustapa
Date Deposited: 04 May 2020 16:47
Last Modified: 04 May 2020 16:47
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/sym11030417
URI: http://psasir.upm.edu.my/id/eprint/38416
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