@article{article_1053470, title={Solution of Non-linear Fractional Burger’s Type Equations Using The Laplace Transform Decomposition Method}, journal={Results in Nonlinear Analysis}, volume={5}, pages={131–150}, year={2022}, DOI={10.53006/rna.1053470}, author={Ilhem, Kadri and Al Horani, Mohammed and Khalil, Roshdi R}, 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}, abstract={Our goal in this paper is to use combined Laplace transform (CLT) and Adomian decomposition method <br />(ADM) (that will be explained in section 3), to study approximate solutions for non-linear time-fractional <br />Burger’s equation, fractional Burger’s Kdv equation and the fractional modi?ed Burger’s equation for the <br />Caputo and Conformable derivatives. Comparison between the two solutions and the exact solution is made. <br />Here we report that the Laplace transform decomposition method (LTDM) proved to be e?cient and be <br />used to obtain new analytical solutions of nonlinear fractional di?erential equations (FDEs).}, number={2}, publisher={Erdal KARAPINAR}, organization={Nothing}