In this article, a new general form of fractional power series is introduced in the sense of the
Caputo fractional derivative. Using this approach some results of the classical power series …

This article reviews the Adomian decomposition method (ADM) and its developments to
handle singular and non-singular initial, boundary value problems in ordinary and partial …

In this work, a theoretical study of diffusion of neumatic liquid crystals was done using the
concept of fractional order derivative. This version of fractional derivative is very easy to …

In this paper, we study the Adomian decomposition method (ADM for short) including its
iterative scheme and convergence analysis, which is a simple and effective technique in …

This study attempts to investigate the dynamic study of the three-component coupled NLS-
type equations. The unified Riccati equation expansion method and the generalized …

The unified technique is a direct method that is employed in this study to extract a wide
range of accurate solutions of the (2+ 1)-dimensional Hirota model. The governing model is …

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 …

The flow through porous media can be better described by fractional models than the
classical ones since they include inherently memory effects caused by obstacles in the …

In this study, we use the Khater Method (KM) as an efficient analytical tool to solve (3+ 1)-
dimensional fractional extended shallow water wave equations (FESWWEs) with …

A novel modification of the variational iteration method (VIM) is proposed by means of the
Laplace transform. Then the method is successfully extended to fractional differential …