New generalized fuzzy transform computations for solving fractional partial differential equations arising in oceanography  

作　　者：Saima Rashid Rehana Ashraf Zakia Hammouch 

机构地区：[1]Department of Mathematics,Government College University,Faisalabad,Pakistan [2]Department of Mathematis,Lahore College for Women University,Lahore,Pakistan [3]Division of Applied Mathematics,Thu Dau Mot University Binh Duong Province,Vietnam [4]Department of Medical Research,China Medical University Hospital,Taichung,Taiwan [5]Department of Sciences,Ecole Normal Superieure,Moulay Ismail University of Meknes,50000 Morocco

出　　处：《Journal of Ocean Engineering and Science》2023年第1期55-78,共24页海洋工程与科学（英文）

摘　　要：This paper presents a study of nonlinear waves in shallow water.The Korteweg-de Vries(KdV)equa-tion has a canonical version based on oceanography theory,the shallow water waves in the oceans,and the internal ion-acoustic waves in plasma.Indeed,the main goal of this investigation is to employ a semi-analytical method based on the homotopy perturbation transform method(HPTM)to obtain the numerical findings of nonlinear dispersive and fifth order KdV models for investigating the behaviour of magneto-acoustic waves in plasma via fuzziness.This approach is connected with the fuzzy generalized integral transform and HPTM.Besides that,two novel results for fuzzy generalized integral transforma-tion concerning fuzzy partial gH-derivatives are presented.Several illustrative examples are illustrated to show the effectiveness and supremacy of the proposed method.Furthermore,2D and 3D simulations de-pict the comparison analysis between two fractional derivative operators(Caputo and Atangana-Baleanu fractional derivative operators in the Caputo sense)under generalized gH-differentiability.The projected method(GHPTM)demonstrates a diverse spectrum of applications for dealing with nonlinear wave equa-tions in scientific domains.The current work,as a novel use of GHPTM,demonstrates some key differ-ences from existing similar methods.

关 键 词：Fuzzy set theory Hukuhara differentiability KdV Equation Generalized integral transform Caputo fractional derivative AB-Fractional operator Homotopy perturbation method 

分 类 号：O175[理学—数学]