In this article we review the Adomian decomposition method (ADM) and its modifications
including different modified and parametrized recursion schemes, the multistage ADM for …

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 research, a Bernoulli wavelet operational matrix of fractional integration is presented.
Bernoulli wavelets and their properties are employed for deriving a general procedure for …

In the current study, new functions called generalized fractional-order Bernoulli wavelet
functions (GFBWFs) based on the Bernoulli wavelets are defined to obtain the numerical …

The current study aims to approximate the solution of fractional differential equations (FDEs)
by using the fundamental properties of artificial neural networks (ANNs) for function …

In this paper, a new numerical method for solving fractional differential equations is
presented. The fractional derivative is described in the Caputo sense. The method is based …

Two new algorithms based on Haar wavelets are proposed. The first algorithm is proposed
for the numerical solution of nonlinear Fredholm integral equations of the second kind, and …

In this paper, the second kind Chebyshev wavelet method is presented for solving linear and
nonlinear fractional differential equations. We first construct the second kind Chebyshev …

The present article designs the granular metamaterials considering the granular structures
of discrete particles which are different from elastic metamaterials consisting of continuous …

In this paper, we define a new fractional function based on the Bernoulli wavelet to obtain a
solution for systems of fractional differential equations (FDEs). The fractional derivative in …