Solution of Non-linear Fractional Burger's Type Equations Using The Laplace Transform Decomposition Method

Year 2022, Volume: 5 Issue: 2, 131 - 150, 30.06.2022

Kadri Ilhem , Mohammed Al Horani , Roshdi R Khalil

https://doi.org/10.53006/rna.1053470

Cited By: 2

Abstract

Our goal in this paper is to use combined Laplace transform (CLT) and Adomian decomposition method
(ADM) (that will be explained in section 3), to study approximate solutions for non-linear time-fractional
Burger's equation, fractional Burger's Kdv equation and the fractional modi?ed Burger's equation for the
Caputo and Conformable derivatives. Comparison between the two solutions and the exact solution is made.
Here we report that the Laplace transform decomposition method (LTDM) proved to be e?cient and be
used to obtain new analytical solutions of nonlinear fractional di?erential equations (FDEs).

Keywords

Conformable fractional derivative, Caputo fractional derivative, Conformable differential equations, Burger's equation, Modified Buerger's equation, Burger's Kdv equation, Laplace Transform, Adomian Decomposition method

Supporting Institution

Nothing

Project Number

Nothing

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