A Comparative Analysis of the Fractional‐Order Coupled Korteweg–De Vries Equations with the Mittag–Leffler Law

NH Aljahdaly, A Akgül, R Shah, I Mahariq… - Journal of …, 2022 - Wiley Online Library
This article applies efficient methods, namely, modified decomposition method and new
iterative transformation method, to analyze a nonlinear system of Korteweg–de Vries …

Numerical Analysis of the Fractional‐Order Nonlinear System of Volterra Integro‐Differential Equations

P Sunthrayuth, R Ullah, A Khan, R Shah… - Journal of Function …, 2021 - Wiley Online Library
This paper presents the nonlinear systems of Volterra‐type fractional integro‐differential
equation solutions through a Chebyshev pseudospectral method. The proposed method is …

On the shock wave approximation to fractional generalized Burger–Fisher equations using the residual power series transform method

SA El-Tantawy, RT Matoog, R Shah, AW Alrowaily… - Physics of …, 2024 - pubs.aip.org
The time-fractional generalized Burger–Fisher equation (TF-GBFE) has various applications
across various scientific and engineering disciplines. It is used for investigating various …

Fractional analysis of nonlinear Boussinesq equation under Atangana–Baleanu–Caputo operator

S Alyobi, R Shah, A Khan, NA Shah, K Nonlaopon - Symmetry, 2022 - mdpi.com
This article proposed two novel techniques for solving the fractional-order Boussinesq
equation. Several new approximate analytical solutions of the second-and fourth-order time …

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 …

Modeling and Analysis of the Fuzzy‐Fractional Chaotic Financial System Using the Extended He–Mohand Algorithm in a Fuzzy‐Caputo Sense

M Qayyum, E Ahmad, A Tahir… - International Journal of …, 2023 - Wiley Online Library
This paper contains modeling of a fuzzy‐fractional financial chaotic model based on
triangular fuzzy numbers (TFNs) to predict the idea that long‐term dependency and …

A semi-analytical method to investigate fractional-order gas dynamics equations by Shehu transform

R Shah, A Saad Alshehry, W Weera - Symmetry, 2022 - mdpi.com
This work aims at a new semi-analytical method called the variational iteration
transformation method for solving nonlinear homogeneous and nonhomogeneous fractional …

A comparative study of the fractional coupled burgers and Hirota–Satsuma KdV equations via analytical techniques

H Yasmin, N Iqbal - Symmetry, 2022 - mdpi.com
This paper applies modified analytical methods to the fractional-order analysis of one and
two-dimensional nonlinear systems of coupled Burgers and Hirota–Satsuma KdV equations …

A reliable way to deal with fractional-order equations that describe the unsteady flow of a polytropic gas

MM Al-Sawalha, RP Agarwal, R Shah, OY Ababneh… - Mathematics, 2022 - mdpi.com
In this paper, fractional-order system gas dynamics equations are solved analytically using
an appealing novel method known as the Laplace residual power series technique, which is …

[HTML][HTML] The solution of fractional-order system of KdV equations with exponential-decay kernel

M Alshammari, N Iqbal, WW Mohammed, T Botmart - Results in Physics, 2022 - Elsevier
This study uses efficient techniques to evaluate a non-linear system of Korteweg–de Vries
(KdV) equations with fractional Caputo Fabrizio derivative, including the modified …