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The Novel Numerical Solutions for Conformable Fractional Kuramoto-Sivashinsky Equations by Using Cq-HATM and CHPETM
  • Halil Anaç,
  • Özkan Avit
Halil Anaç
Gumushane Universitesi

Corresponding Author:halilanac@gumushane.edu.tr

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Özkan Avit
Gumushane Universitesi
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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.