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Analytical Investigation of Noyes–Field Model for Time‐Fractional Belousov–Zhabotinsky Reaction
In this article, we find the solution of time‐fractional Belousov–Zhabotinskii reaction by
implementing two well‐known analytical techniques. The proposed methods are the …
implementing two well‐known analytical techniques. The proposed methods are the …
[HTML][HTML] A comparative analysis of fractional-order Kaup–Kupershmidt equation within different operators
In this paper, we find the solution of the fractional-order Kaup–Kupershmidt (KK) equation by
implementing the natural decomposition method with the aid of two different fractional …
implementing the natural decomposition method with the aid of two different fractional …
Analytical investigation of fractional-order Korteweg–De-Vries-type equations under Atangana–Baleanu–Caputo operator: Modeling nonlinear waves in a plasma and …
This article applies the homotopy perturbation transform technique to analyze fractional-
order nonlinear fifth-order Korteweg–de-Vries-type (KdV-type)/Kawahara-type equations …
order nonlinear fifth-order Korteweg–de-Vries-type (KdV-type)/Kawahara-type equations …
On Solutions of Fractional‐Order Gas Dynamics Equation by Effective Techniques
In this work, the novel iterative transformation technique and homotopy perturbation
transformation technique are used to calculate the fractional‐order gas dynamics equation …
transformation technique are used to calculate the fractional‐order gas dynamics equation …
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 …
[HTML][HTML] Fractional view analysis of Kuramoto–Sivashinsky equations with non-singular kernel operators
In this article, we investigate the nonlinear model describing the various physical and
chemical phenomena named the Kuramoto–Sivashinsky equation. We implemented the …
chemical phenomena named the Kuramoto–Sivashinsky equation. We implemented the …
[HTML][HTML] Analytical investigation of fractional-order Cahn–Hilliard and gardner equations using two novel techniques
In this paper, we used the natural decomposition approach with non-singular kernel
derivatives to find the solution to nonlinear fractional Gardner and Cahn–Hilliard equations …
derivatives to find the solution to nonlinear fractional Gardner and Cahn–Hilliard equations …
An efficient analytical approach to investigate fractional Caudrey–Dodd–Gibbon equations with non-singular kernel derivatives
Fractional calculus is at this time an area where many models are still being developed,
explored, and used in real-world applications in many branches of science and engineering …
explored, and used in real-world applications in many branches of science and engineering …
The Analysis of Fractional‐Order Proportional Delay Physical Models via a Novel Transform
In this paper, we deal with an alternative analytical analysis of fractional‐order partial
differential equations with proportional delay, achieved by applying Yang decomposition …
differential equations with proportional delay, achieved by applying Yang decomposition …
Analysis of Fractional‐Order Regularized Long‐Wave Models via a Novel Transform
A new integral transform method for regularized long‐wave (RLW) models having fractional‐
order is presented in this study. Although analytical approaches are challenging to apply to …
order is presented in this study. Although analytical approaches are challenging to apply to …