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

Authors : Kadri ILHEM, Mohammed AL HORANİ, Roshdi R KHALİL

Pages : 131-150

Doi:10.53006/rna.1053470

View : 16 | Download : 13

Publication Date : 2022-06-30

Article Type : Research Paper

Abstract :Our goal in this paper is to use combined Laplace transform insert ignore into journalissuearticles values(CLT); and Adomian decomposition method insert ignore into journalissuearticles values(ADM); insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(LTDM); proved to be e?cient and be used to obtain new analytical solutions of nonlinear fractional di?erential equations insert ignore into journalissuearticles values(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