A study of time-fractional model for atmospheric internal waves with Caputo-Fabrizio derivative

Miguel Vivas-Cortez; Abuzar Ghaffari; Maasoomah Sadaf; Zahida Perveen; Ghazala Akram; Sharmeen Fatima

doi:10.1371/journal.pone.0302743

A study of time-fractional model for atmospheric internal waves with Caputo-Fabrizio derivative

Miguel Vivas-Cortez, Abuzar Ghaffari (Editor), Maasoomah Sadaf, Zahida Perveen, Ghazala Akram, Sharmeen Fatima

Facultad de Ciencias Exactas y Naturales

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Resumen

The internal atmospheric waves are gravity waves and occur in the inner part of the fluid system. In this study, a time-fractional model for internal atmospheric waves is investigated with the Caputo-Fabrizio time-fractional differential operator. The analytical solution of the considered model is retrieved by the Elzaki Adomian decomposition method. The variation in the solution is examined for increasing order of the fractional parameter α through numerical and graphical simulations. The accuracy of the obtained results is established by comparing the obtained solution of considered fractional model with the results available in the literature.

Idioma original	Inglés
Número de artículo	e0302743
Publicación	PLoS ONE
Volumen	19
N.º	7 July
DOI	https://doi.org/10.1371/journal.pone.0302743
Estado	Publicada - 31 jul. 2024

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© 2024 Vivas-Cortez et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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abstract = "The internal atmospheric waves are gravity waves and occur in the inner part of the fluid system. In this study, a time-fractional model for internal atmospheric waves is investigated with the Caputo-Fabrizio time-fractional differential operator. The analytical solution of the considered model is retrieved by the Elzaki Adomian decomposition method. The variation in the solution is examined for increasing order of the fractional parameter α through numerical and graphical simulations. The accuracy of the obtained results is established by comparing the obtained solution of considered fractional model with the results available in the literature.",

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AU - Sadaf, Maasoomah

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AU - Akram, Ghazala

AU - Fatima, Sharmeen

A2 - Ghaffari, Abuzar

N1 - Publisher Copyright: © 2024 Vivas-Cortez et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Y1 - 2024/7/31

N2 - The internal atmospheric waves are gravity waves and occur in the inner part of the fluid system. In this study, a time-fractional model for internal atmospheric waves is investigated with the Caputo-Fabrizio time-fractional differential operator. The analytical solution of the considered model is retrieved by the Elzaki Adomian decomposition method. The variation in the solution is examined for increasing order of the fractional parameter α through numerical and graphical simulations. The accuracy of the obtained results is established by comparing the obtained solution of considered fractional model with the results available in the literature.

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A study of time-fractional model for atmospheric internal waves with Caputo-Fabrizio derivative

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