In this review paper, we are mainly concerned with the numerical methods for solving
fractional equations, which are divided into the fractional differential equations (FDEs), time …

This paper presents a new computational technique for solving fractional pantograph
differential equations. The fractional derivative is described in the Caputo sense. The main …

In this article, we develop a new set of functions called fractional-order Alpert multiwavelet
functions to obtain the numerical solution of fractional pantograph differential equations …

The main purpose of the current paper is to propose a new numerical scheme based on the
spectral element procedure for simulating the neutral delay distributed‐order fractional …

Legendre wavelets and their exact Riemann-Liouville fractional integrals are used to
compute numerical solutions to fractional delay differential equations, by reducing the …

Accurate solutions of nonlinear multi-dimensional delay problems of fractional-order arising
in mathematical physics and engineering recently have been found to be a challenging task …

This paper is devoted to the numerical scheme for the delay initial value problems of a
fractional order. The main idea of this method is to establish a novel reproducing kernel …

The article is devoted to a new computational algorithm based on the Gegenbauer wavelets
(GWs) to solve the linear and nonlinear variable-order fractional differential equations. The …

A novel collocation method based on Genocchi wavelet is presented for the numerical
solution of fractional differential equations and time‐fractional partial differential equations …

In this paper, we introduce a new family of fractional functions based on Chelyshkov
wavelets for solving one-and two-variable distributed-order fractional differential equations …