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 …

In this study, numerical results of a fractional-order multi-dimensional model of the Navier–
Stokes equations will be achieved via adoption of two analytical methods, ie, the Adomian …

In this article, we investigate the nonlinear model describing the various physical and
chemical phenomena named the Kuramoto–Sivashinsky equation. We implemented the …

In recent years, the modified Extended Direct Algebraic Method (mEDAM) has demonstrated
to be an effective method for finding novel soliton solutions to nonlinear Fractional Partial …

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 …

This article shows how to solve the time-fractional Fisher's equation through the use of two
well-known analytical methods. The techniques we propose are a modified form of the …

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 …

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 …

This paper examines two methods for solving the nonlinear fractional Phi-four problem with
variable coefficients. One of the distinct states of the Klein–Gordon model yields the Phi-four …

In this article, the new iterative transform technique and homotopy perturbation transform
method are applied to calculate the fractional‐order Cauchy‐reaction diffusion equation …