Numerical Investigation of the Time‐Fractional Whitham–Broer–Kaup Equation Involving without Singular Kernel Operators

K Nonlaopon, M Naeem, AM Zidan, R Shah… - …, 2021 - Wiley Online Library
This paper aims to implement an analytical method, known as the Laplace homotopy
perturbation transform technique, for the result of fractional‐order Whitham–Broer–Kaup …

[PDF][PDF] On the solution of fractional modified Boussinesq and approximate long wave equations with non-singular kernel operators

T Botmart, RP Agarwal, M Naeem, A Khan, R Shah - AIMS Math, 2022 - academia.edu
In this paper, we used the Natural decomposition approach with nonsingular kernel
derivatives to explore the modified Boussinesq and approximate long wave equations …

Approximate analytical solutions of time fractional Whitham–Broer–Kaup equations by a residual power series method

L Wang, X Chen - Entropy, 2015 - mdpi.com
In this paper, a new analytic iterative technique, called the residual power series method
(RPSM), is applied to time fractional Whitham–Broer–Kaup equations. The explicit …

Fractional Whitham–Broer–Kaup equations within modified analytical approaches

R Shah, H Khan, D Baleanu - Axioms, 2019 - mdpi.com
The fractional traveling wave solution of important Whitham–Broer–Kaup equations was
investigated by using the q-homotopy analysis transform method and natural decomposition …

[HTML][HTML] Numerical treatment for traveling wave solutions of fractional Whitham-Broer-Kaup equations

A Ali, K Shah, RA Khan - Alexandria Engineering Journal, 2018 - Elsevier
In the concerned article, we present the numerical solution of nonlinear coupled system of
Whitham-Broer-Kaup equations (WBK) of fractional order. With the help of Laplace transform …

A bibliography of the theory and applications of the Adomian decomposition method, 1961-2011

R Rach - Kybernetes, 2012 - emerald.com
I am pleased to submit my comprehensive worldwide bibliography on the Adomian
decomposition method:“A bibliography of the theory and applications of the Adomian …

A reliable technique for fractional modified Boussinesq and approximate long wave equations

P Veeresha, DG Prakasha, MA Qurashi… - Advances in Difference …, 2019 - Springer
In this paper, an efficient technique is employed to study the modified Boussinesq and
approximate long wave equations of the Caputo fractional time derivative, namely the q …

A numerical simulation and explicit solutions of the generalized Burgers–Fisher equation

D Kaya, SM El-Sayed - Applied Mathematics and computation, 2004 - Elsevier
We consider solitary-wave solutions of the generalized Burgers–Fisher (BF) equation ut+
purux− uxx− qu (1− ur)= 0. In this paper by considering the decomposition scheme, we first …

Numerical analysis of fractional-order Whitham-Broer-Kaup equations with non-singular kernel operators

MM Al-Sawalha, OY Ababneh, R Shah… - AIMS …, 2023 - aimspress.com
This paper solves a fractional system of non-linear Whitham-Broer-Kaup equations using a
natural decomposition technique with two fractional derivatives. Caputo-Fabrizio and …

[HTML][HTML] Application of the variational iteration method to the Whitham–Broer–Kaup equations

M Rafei, H Daniali - Computers & Mathematics with Applications, 2007 - Elsevier
Explicit traveling wave solutions including blow-up and periodic solutions of the Whitham–
Broer–Kaup equations are obtained by the variational iteration method. Moreover, the …