This article applies efficient methods, namely, modified decomposition method and new
iterative transformation method, to analyze a nonlinear system of Korteweg–de Vries …

Abstract This paper studies the (1+ 1)-dimensional Kuramoto–Sivashinsky equation (1D-
KSE) also known as canonical evolution equation within the context of flame front …

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 …

In this article, a hybrid technique of Elzaki transformation and decomposition method is used
to solve the Navier–Stokes equations with a Caputo fractional derivative. The numerical …

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

The aim of this work is to determine the time-dependent heat coefficient in a type of inverse
problem for one dimensional time-fractional heat equations defined by the Caputo operator …

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 …

In this article, we present a fractional Kersten–Krasil'shchik coupled KdV-mKdV nonlinear
model associated with newly introduced Atangana–Baleanu derivative of fractional order …

In this article, we proposed an efficient numerical technique for the solution of fractional-
order (1+ 1) dimensional telegraph equation using the Laguerre wavelet collocation method …