In this article, we have investigated the fractional-order Burgers equation via Natural
decomposition method with nonsingular kernel derivatives. The two types of fractional …

This work aims at a new semi-analytical method called the variational iteration transform
method for investigating fractional-order Emden–Fowler equations. The Shehu …

In the present research paper, an iterative approach named the iterative Shehu transform
method is implemented to solve time-fractional hyperbolic telegraph equations in one, two …

This work aims at a new semi-analytical technique called the Adomian decomposition
method for the analysis of time-fractional Emden–Fowler equations. The Laplace …

We provided two different approaches for solving fractional‐order diffusion equations in this
article. The fractional Atangana‐Baleanu derivative operator in addition to the Laplace …

The major objective of this study is to derive fractional series solutions of the time‐fractional
Swift‐Hohenberg equations (TFSHEs) in the sense of conformable derivative using the …

This paper aims to obtain exact solutions of solitary waves for the conformable fractional
Sharma-Tasso-Olver (STO) equation which plays an important role in nuclear physics to …

This article introduces a new iterative transform method and homotopy perturbation
transform method along with a natural transform to analyze the multi-dimensional Navier …

One of the key applications of the Caputo fractional derivative is that the fractional order of
the derivative can be utilized as a parameter to improve the mathematical model by …

This research explored optical soliton solutions for the (2+ 1)-dimensional generalized
fractional Kundu-Mukherjee-Naskar equation (gFKMNE), which is a nonlinear model for …