The Novel Numerical Solutions for Conformable Fractional
Kuramoto-Sivashinsky Equations by Using Cq-HATM and CHPETM
Abstract
In this article, the novel numerical solutions for nonlinear conformable
fractional Kuramoto-Sivashinsky are investigated by using two novel
methods, called conformable q-homotopy analysis transform method
(Cq-HATM) and conformable homotopy perturbation Elzaki transform method
(CHPETM). The proposed method is the combination of q-homotopy analysis
transform method and conformable derivative. The numerical simulations
have been conducted in order to verify the proposed methods are
effective and reliable. The comparison between the obtained solutions
with the exact solutions demonstrates that, both the novel techniques
are simple, power and effective to solve nonlinear conformable
fractional problems.