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 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 …

The development of numeric-analytic solutions and the construction of fractional-order
mathematical models for practical issues are of the greatest importance in a variety of …

In this paper, we examined the approximations to the time-fractional Kawahara equation and
modified Kawahara equation, which model the creation of nonlinear water waves in the long …

This article investigates the seventh-order Lax's Korteweg–de Vries equation using the Yang
transform decomposition method (YTDM) and the homotopy perturbation transform method …

In comparison to fractional-order differential equations, integer-order differential equations
generally fail to properly explain a variety of phenomena in numerous branches of science …