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- W4283008692 abstract "In this paper, we propose a new analytical modelling of the well-known fractional generalized Kuramoto-Sivashinky equation (FGKSE) using fractional operator with non-singular kernel and the homotopy analysis transform method via J-transform method. Also, using fixed-point theorem, we prove the existence and uniqueness of our proposed solution to the fractional Kuramoto-Sivashinky equation. To further validate the efficiency of the suggested technique, we proved the convergence analysis of the method and provide the error estimate. The obtained solutions of the FGKSE, describing turbulence processes in the field of ocean engineering are analytically and numerically compared to show the behaviors of many parameters of the present model." @default.
- W4283008692 created "2022-06-18" @default.
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- W4283008692 date "2022-06-01" @default.
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- W4283008692 title "New analytical modelling of fractional generalized Kuramoto-Sivashinky equation via Atangana-Baleanu operator and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si10.svg><mml:mi mathvariant=double-struck>J</mml:mi></mml:math>-transform method" @default.
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- W4283008692 doi "https://doi.org/10.1016/j.joes.2022.06.025" @default.
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