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

作　　者：Saima Rashid Mohammed K.A.Kaabar Ali Althobaiti M.S.Alqurashi 

机构地区：[1]Department of Mathematics,Government College University,Faisalabad 38000,Pakistan [2]Institute of Mathematical Sciences,Faculty of Science,University of Malaya,Kuala Lumpur 50603,Malaysia [3]Department of Mathematics,College of Science,Taif University,P.O.Box 11099,Taif 21944,Saudi Arabia

出　　处：《Journal of Ocean Engineering and Science》2023年第2期196-215,共20页海洋工程与科学（英文）

基　　金：supported by Taif University Researches Supporting Project number(TURSP-2020/326),Taif University,Taif,Saudi Arabia.

摘　　要：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 surface 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℘∈[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.

关 键 词：Fuzzy set theory Elzaki transform Adomian decomposition method Boussinesq equation Caputo fractional derivative 

分 类 号：P7[天文地球—海洋科学] O175[理学—数学]