- Results in Nonlinear Analysis
- Vol: 5 Issue: 2
- Solution of Non-linear Fractional Burger's Type Equations Using The Laplace Transform Decomposition ...
Solution of Non-linear Fractional Burger's Type Equations Using The Laplace Transform Decomposition Method
Authors : Kadri Ilhem, Mohammed Al Horani, Roshdi R Khalil
Pages : 131-150
Doi:10.53006/rna.1053470
View : 20 | Download : 9
Publication Date : 2022-06-30
Article Type : Research
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