Fractional-order partial differential equations describing propagation of shallow water waves depending on power and Mittag-Leffler memory

Fractional-order partial differential equations describing propagation of shallow water waves depending on power and Mittag-Leffler memory

In this research, the $ \bar{\mathbf{q}} $-homotopy analysis transform method ($ \bar{\mathbf{q}} $-HATM) is employed to identify fractional-order Whitham–Broer–Kaup equation (WBKE) solutions. The WBKE is extensively employed to examine tsunami waves. With the aid of Caputo and Atangana-Baleanu frac...

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Bibliographic Details
Main Authors: Maysaa Al Qurashi, Saima Rashid, Sobia Sultana, Fahd Jarad, Abdullah M. Alsharif
Format: Article
Language:English
Published: AIMS Press 2022-04-01
Series:AIMS Mathematics
Subjects:
whitham–broer–kaup equation
aboodh transform
$ \bar{\mathbf{q}} $-homotopy analysis transform method
atangana-baleanu fractional derivative
convergence analysis
Online Access:https://aimspress.com/article/doi/10.3934/math.2022697?viewType=HTML

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https://aimspress.com/article/doi/10.3934/math.2022697?viewType=HTML

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