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Open AccessArticle

On Conformable Double Laplace Transform and One Dimensional Fractional Coupled Burgers’ Equation

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Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
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Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400 UPM, Selangor, Malaysia
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Department of Electrical and Electronic Engineering, Istanbul Gelisim University, Avcilar, Istanbul 34310, Turkey
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(3), 417; https://doi.org/10.3390/sym11030417
Received: 24 February 2019 / Revised: 17 March 2019 / Accepted: 18 March 2019 / Published: 21 March 2019
(This article belongs to the Special Issue Fractional Differential Equations: Theory, Methods and Applications)
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. View Full-Text
Keywords: conformable fractional derivative; conformable partial fractional derivative; conformable double Laplace decomposition method; conformable Laplace transform; singular one dimensional coupled Burgers’ equation conformable fractional derivative; conformable partial fractional derivative; conformable double Laplace decomposition method; conformable Laplace transform; singular one dimensional coupled Burgers’ equation
MDPI and ACS Style

Eltayeb, H.; Bachar, I.; Kılıçman, A. On Conformable Double Laplace Transform and One Dimensional Fractional Coupled Burgers’ Equation. Symmetry 2019, 11, 417.

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