Numerical solutions of time fractional Zakharov-Kuznetsov equation via natural transform decomposition method with nonsingular kernel derivatives
type: Item
instance of: scholarly article
title: Numerical solutions of time fractional Zakharov-Kuznetsov equation via natural transform decomposition method with nonsingular kernel derivatives
DOI: 10.1155/2021/9884027
author: Mei-Xiu Zhou
author: A. S. V. Ravi Kanth
author: K. Aruna
author: K. Raghavendar
author: Hadi Rezazadeh
author: Mustafa Inc
author: Ayman A. Aly
published in: Journal of Function Spaces
publication date: 2021-09-07T00:00:00Z
review text: Summary: In this paper, we have studied the time-fractional Zakharov-Kuznetsov equation (TFZKE) via natural transform decomposition method (NTDM) with nonsingular kernel derivatives. The fractional derivative considered in Caputo-Fabrizio (CF) and Atangana-Baleanu derivative in Caputo sense (ABC). We employed natural transform (NT) on TFZKE followed by inverse natural transform, to obtain the solution of the equation. To validate the method, we have considered a few examples and compared with the actual results. Numerical results are in accordance with the existing results.
Mathematics Subject Classification ID: 65-XX
zbMATH DE Number: 7391756
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/9884027
OpenAlex ID: W3185181261
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description: scientific article; zbMATH DE number 7391756