The present research investigates symmetric soliton solutions for the Fractional Coupled
Konno–Onno System (FCKOS) by using two improved versions of an Extended Direct …

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

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 investigates different nonlinear systems of fractional partial differential equations
analytically using an attractive modified method known as the Laplace residual power series …

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 study, we solve the fractional advection–dispersion equation (FADE) by applying the
Laplace transform decomposition method (LTDM) and the variational iteration transform …

In applied sciences and engineering, partial differential equations (PDE) of integer and non-
integer order play a crucial role. It can be challenging to determine these equations' exact …

The main goal of the current work is to develop numerical approaches that use the Yang
transform, the homotopy perturbation method (HPM), and the Adomian decomposition …