The main purpose of this work is to use the Chelyshkov-collocation spectral method for the
solution of multi-order fractional differential equations under the supplementary conditions …

In this paper, we constitute a homotopy algorithm basically extension of homotopy analysis
method with Laplace transform, namely q-homotopy analysis transform method to solve time …

In this study, we examine adapting and using the Sumudu decomposition method (SDM) as
a way to find approximate solutions to two-dimensional fractional partial differential …

In this paper, Bernstein operational matrix of fractional derivative of order α in the Caputo
sense is derived. We also apply this matrix to the collocation method for solving multi-order …

This paper shows how to use the fractional Sumudu homotopy perturbation technique (SHP)
with the Caputo fractional operator (CF) to solve time fractional linear and nonlinear partial …

In this paper, we use the fractional variational iteration method (FVIM) to solve a time-and
space-fractional coupled Burgers equations. Some numerical examples are presented to …

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 …

Analysis of local fractional coupled Helmholtz and coupled Burgers’ equations in fractal media
Page 1 AIMS Mathematics, 7(5): 8080–8111. DOI: 10.3934/math.2022450 Received: 02 …

This article utilizes the Aboodh residual power series and Aboodh transform iteration
methods to address fractional nonlinear systems. Based on these techniques, a system is …

In this paper, two numerical approaches including the homotopy perturbation transform
method (HPTM) and the method based on the fractional complex transform and homotopy …