A Comparative Analysis of the Fractional‐Order Coupled Korteweg–De Vries Equations with the Mittag–Leffler Law
This article applies efficient methods, namely, modified decomposition method and new
iterative transformation method, to analyze a nonlinear system of Korteweg–de Vries …
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
This paper presents the nonlinear systems of Volterra‐type fractional integro‐differential
equation solutions through a Chebyshev pseudospectral method. The proposed method is …
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
The time-fractional generalized Burger–Fisher equation (TF-GBFE) has various applications
across various scientific and engineering disciplines. It is used for investigating various …
across various scientific and engineering disciplines. It is used for investigating various …
Fractional analysis of nonlinear Boussinesq equation under Atangana–Baleanu–Caputo operator
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 …
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
In this article, the new iterative transform technique and homotopy perturbation transform
method are applied to calculate the fractional‐order Cauchy‐reaction diffusion equation …
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 …
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 …
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
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 …
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
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 …
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
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 …
(KdV) equations with fractional Caputo Fabrizio derivative, including the modified …