This research article is dedicated to solving fractional-order parabolic equations using an
innovative analytical technique. The Adomian decomposition method is well supported by …

In the present article a modified decomposition method is implemented to solve systems of
partial differential equations of fractional-order derivatives. The derivatives of fractional-order …

This article presents a homotopy perturbation transform method and a variational iterative
transform method for analyzing the fractional-order non-linear system of the unsteady flow of …

Fractional differential equations are beginning to gain widespread usage in modeling
physical and biological processes. It is worth mentioning that the standard mathematical …

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

In the present research article, we implemented two well-known analytical techniques to
solve fractional-order multi-dimensional Navier–Stokes equation. The proposed methods …

In this article, a new analytical technique based on an innovative transformation is used to
solve (2+ time fractional-order) dimensional physical models. The proposed method is the …

In the current paper, fractional-order hyperbolic telegraph equations are considered for
analytical solutions, using the decomposition method based on natural transformation. The …

Mostly, it is very difficult to obtained the exact solution of fractional-order partial differential
equations. However, semi-analytical or numerical methods are considered to be an …

The fractional traveling wave solution of important Whitham–Broer–Kaup equations was
investigated by using the q-homotopy analysis transform method and natural decomposition …