The role of integer and noninteger order partial differential equations (PDE) is essential in
applied sciences and engineering. Exact solutions of these equations are sometimes difficult …

In this paper, the Elzaki transform decomposition method is implemented to solve the time-
fractional Swift–Hohenberg equations. The presented model is related to the temperature …

In this paper, explicit and approximate solutions of the nonlinear fractional KdV–Burgers
equation with time–space-fractional derivatives are presented and discussed. The solutions …

In this paper, the fractional derivatives in the sense of modified Riemann–Liouville derivative
and the first integral method are employed for constructing the exact solutions of nonlinear …

In this paper, we present a new definition of fractional-order derivative with a smooth kernel
based on the Caputo–Fabrizio fractional-order operator which takes into account some …

The fractional partial differential equations stand for natural phenomena all over the world
from science to engineering. When it comes to obtaining the solutions of these equations …

This work investigates three nonlinear equations that describe waves on the oceans which
are the Kadomtsev Petviashvili-modified equal width (KP-MEW) equation, the coupled …

In this paper, the new iterative transform method and the homotopy perturbation transform
method was used to solve fractional-order Equal-Width equations with the help of Caputo …

Recently, fractional differential equations have been investigated by employing the famous
variational iteration method. However, all the previous works avoid the fractional order term …

In this paper, the non-linear fractional KdV-Burgers equation (KdVBE) in terms of
conformable fractional derivative (CFD) is reconstituted instead of the Caputo fractional …