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Constructing analytical estimates of the fuzzy fractional-order Boussinesq model and their application in oceanography

The main idea of this article is the investigation of atmospheric internal waves, often known as gravity waves. This arises within the ocean rather than at the interface. A shallow fluid assumption is illustrated by a series of nonlinear partial differential equations in the framework. Because the w...

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Main Authors:	Rashid, Saima, Kaabar, Mohammed K. A., Althobaiti, Ali, Alqurashi, M. S.
Format:	Article
Published:	Elsevier 2023
Subjects:	TA Engineering (General). Civil engineering (General) VM Naval architecture. Shipbuilding. Marine engineering
Online Access:	http://eprints.um.edu.my/38455/
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spelling	my.um.eprints.384552023-11-22T04:47:32Z http://eprints.um.edu.my/38455/ Constructing analytical estimates of the fuzzy fractional-order Boussinesq model and their application in oceanography Rashid, Saima Kaabar, Mohammed K. A. Althobaiti, Ali Alqurashi, M. S. TA Engineering (General). Civil engineering (General) VM Naval architecture. Shipbuilding. Marine engineering The main idea of this article is the investigation of atmospheric internal waves, often known as gravity waves. This arises within the ocean rather than at the interface. A shallow fluid assumption is illustrated by a series of nonlinear partial differential equations in the framework. Because the waves are scattered over a wide geographical region, this system can precisely replicate atmospheric internal waves. In this research, the numerical solutions to the fuzzy fourth-order time-fractional Boussinesq equation (BSe) are determined for the case of the aquifer propagation of long waves having small amplitude on the sur-face of water from a channel. The novel scheme, namely the generalized integral transform (proposed by H. Jafari 35]) coupled with the Adomian decomposition method (GIADM), is used to extract the fuzzy fractional BSe in R , Rn and (2nth)-order including gH-differentiability. To have a clear understanding of the physical phenomena of the projected solutions, several algebraic aspects of the generalized integral transform in the fuzzy Caputo and Atangana-Baleanu fractional derivative operators are discussed. The confrontation between the findings by Caputo and ABC fractional derivatives under generalized Hukuhara differentiability are presented with appropriate values for the fractional order and uncertainty parameters P is an element of 0 , 1] were depicted in diagrams. According to proposed findings, hydraulic engineers, being analysts in drainage or in water management, might access adequate storage volume quantity with an uncertainty level. (c) 2022 Shanghai Jiaotong University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ ) Elsevier 2023-03 Article PeerReviewed Rashid, Saima and Kaabar, Mohammed K. A. and Althobaiti, Ali and Alqurashi, M. S. (2023) Constructing analytical estimates of the fuzzy fractional-order Boussinesq model and their application in oceanography. Journal of Ocean Engineering and Science, 8 (2). pp. 196-215. ISSN 2468-0133, DOI https://doi.org/10.1016/j.joes.2022.01.003 <https://doi.org/10.1016/j.joes.2022.01.003>. 10.1016/j.joes.2022.01.003
institution	Universiti Malaya
building	UM Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Malaya
content_source	UM Research Repository
url_provider	http://eprints.um.edu.my/
topic	TA Engineering (General). Civil engineering (General) VM Naval architecture. Shipbuilding. Marine engineering
spellingShingle	TA Engineering (General). Civil engineering (General) VM Naval architecture. Shipbuilding. Marine engineering Rashid, Saima Kaabar, Mohammed K. A. Althobaiti, Ali Alqurashi, M. S. Constructing analytical estimates of the fuzzy fractional-order Boussinesq model and their application in oceanography
description	The main idea of this article is the investigation of atmospheric internal waves, often known as gravity waves. This arises within the ocean rather than at the interface. A shallow fluid assumption is illustrated by a series of nonlinear partial differential equations in the framework. Because the waves are scattered over a wide geographical region, this system can precisely replicate atmospheric internal waves. In this research, the numerical solutions to the fuzzy fourth-order time-fractional Boussinesq equation (BSe) are determined for the case of the aquifer propagation of long waves having small amplitude on the sur-face of water from a channel. The novel scheme, namely the generalized integral transform (proposed by H. Jafari 35]) coupled with the Adomian decomposition method (GIADM), is used to extract the fuzzy fractional BSe in R , Rn and (2nth)-order including gH-differentiability. To have a clear understanding of the physical phenomena of the projected solutions, several algebraic aspects of the generalized integral transform in the fuzzy Caputo and Atangana-Baleanu fractional derivative operators are discussed. The confrontation between the findings by Caputo and ABC fractional derivatives under generalized Hukuhara differentiability are presented with appropriate values for the fractional order and uncertainty parameters P is an element of 0 , 1] were depicted in diagrams. According to proposed findings, hydraulic engineers, being analysts in drainage or in water management, might access adequate storage volume quantity with an uncertainty level. (c) 2022 Shanghai Jiaotong University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )
format	Article
author	Rashid, Saima Kaabar, Mohammed K. A. Althobaiti, Ali Alqurashi, M. S.
author_facet	Rashid, Saima Kaabar, Mohammed K. A. Althobaiti, Ali Alqurashi, M. S.
author_sort	Rashid, Saima
title	Constructing analytical estimates of the fuzzy fractional-order Boussinesq model and their application in oceanography
title_short	Constructing analytical estimates of the fuzzy fractional-order Boussinesq model and their application in oceanography
title_full	Constructing analytical estimates of the fuzzy fractional-order Boussinesq model and their application in oceanography
title_fullStr	Constructing analytical estimates of the fuzzy fractional-order Boussinesq model and their application in oceanography
title_full_unstemmed	Constructing analytical estimates of the fuzzy fractional-order Boussinesq model and their application in oceanography
title_sort	constructing analytical estimates of the fuzzy fractional-order boussinesq model and their application in oceanography
publisher	Elsevier
publishDate	2023
url	http://eprints.um.edu.my/38455/
_version_	1783876665409011712
score	13.211869

Constructing analytical estimates of the fuzzy fractional-order Boussinesq model and their application in oceanography

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