Kadri ILHEM, Mohammed AL HORANİ, Roshdi R KHALİL

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

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-fractionalBurger's equation, fractional Burger's Kdv equation and the fractional modi?ed Burger's equation for theCaputo 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 beused 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,

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