NEW SOLUTION OF CONFORMABLE FORNBERG-WHITHAM DIFFERENTIAL EQUATION VIA CONFORMABLE SUMUDU DECOMPOSITION METHOD

NEW SOLUTION OF CONFORMABLE FORNBERG-WHITHAM DIFFERENTIAL EQUATION VIA CONFORMABLE SUMUDU DECOMPOSITION METHOD

S. Alfaqeih, G. Bakıcıerler, E. Mısırlı

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Abstract

In this work, a new analytical method called the conformable Sumudu decomposition method is introduced to obtain approximate solutions of fractional Fornberg- Whitham di erential equation. The proposed method is a combination between conformable Sumudu integral transform and the Adomian decomposition method. The fractional derivatives are taken in terms of the conformable sense. In order to demonstrate the applicability, e ciency and simplicity of the presented method, we compare the behavior of the obtained approximate solutions with the exact solution given in the literature.

Keywords

Conformable fractional derivative (CFD), Fornberg-Whitham equation, Adomian decomposition method (ADM), Sumudu transform (ST), Laplace transform (LT).