Analytical investigation of fractional-order Korteweg–De-Vries-type equations under Atangana–Baleanu–Caputo operator: Modeling nonlinear waves in a plasma and …

NA Shah, HA Alyousef, SA El-Tantawy, R Shah… - Symmetry, 2022 - mdpi.com
This article applies the homotopy perturbation transform technique to analyze fractional-
order nonlinear fifth-order Korteweg–de-Vries-type (KdV-type)/Kawahara-type equations …

On Solutions of Fractional‐Order Gas Dynamics Equation by Effective Techniques

N Iqbal, A Akgül, R Shah, A Bariq… - Journal of Function …, 2022 - Wiley Online Library
In this work, the novel iterative transformation technique and homotopy perturbation
transformation technique are used to calculate the fractional‐order gas dynamics equation …

Numerical investigation of fractional-order Swift–Hohenberg equations via a Novel transform

K Nonlaopon, AM Alsharif, AM Zidan, A Khan… - Symmetry, 2021 - mdpi.com
In this paper, the Elzaki transform decomposition method is implemented to solve the time-
fractional Swift–Hohenberg equations. The presented model is related to the temperature …

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 …

Novel investigation of fractional‐order Cauchy‐reaction diffusion equation involving Caputo‐Fabrizio operator

M Alesemi, N Iqbal, MS Abdo - Journal of Function Spaces, 2022 - Wiley Online Library
In this article, the new iterative transform technique and homotopy perturbation transform
method are applied to calculate the fractional‐order Cauchy‐reaction diffusion equation …

Numerical Methods for Fractional‐Order Fornberg‐Whitham Equations in the Sense of Atangana‐Baleanu Derivative

N Iqbal, H Yasmin, A Ali, A Bariq… - Journal of Function …, 2021 - Wiley Online Library
In this paper, we investigate the numerical solution of the Fornberg‐Whitham equations with
the help of two powerful techniques: the modified decomposition technique and the modified …

The Analysis of the Fractional‐Order Navier‐Stokes Equations by a Novel Approach

EM Elsayed, R Shah… - Journal of Function Spaces, 2022 - Wiley Online Library
This article introduces modified semianalytical methods, namely, the Shehu decomposition
method and q‐homotopy analysis transform method, a combination of decomposition …

Numerical analysis of fractional-order emden–fowler equations using modified variational iteration method

R Zhang, NA Shah, ER El-Zahar, A Akgül, JD Chung - Fractals, 2023 - World Scientific
This work aims at a new semi-analytical method called the variational iteration transform
method for investigating fractional-order Emden–Fowler equations. The Shehu …

Fractional Analysis of Coupled Burgers Equations within Yang Caputo‐Fabrizio Operator

NA Shah, ER El-Zahar, JD Chung - Journal of Function Spaces, 2022 - Wiley Online Library
This work applies a novel analytical technique to the fractional view analysis of coupled
Burgers equations. The proposed problems have been fractionally analyzed in the Caputo …

Analysis of the Fuzzy Fractional‐Order Solitary Wave Solutions for the KdV Equation in the Sense of Caputo‐Fabrizio Derivative

M Naeem, H Rezazadeh, AA Khammash… - Journal of …, 2022 - Wiley Online Library
In this paper, we construct a system for analysis of an analytic solution of fractional fuzzy
solitary wave solutions for the Korteweg–De Vries (KdV) equation. We apply the iterative …