In this endeavour, Bernstein wavelet and Euler methods are used to solve a nonlinear
fractional predator-prey biological model of two species. The theoretical results with their …

In order to facilitate the understanding of the current research efforts and directions, this
article first introduces the anomalous/problematic features of magnesium (Mg) and presents …

In this paper, we propose and analyze an efficient operational formulation of spectral tau
method for multi-term time–space fractional differential equation with Dirichlet boundary …

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, Bernstein polynomials method is proposed for the numerical solution of a class
of variable order fractional linear cable equation. In this paper, we adopted Bernstein …

In this paper, a collocation method based on the Bernstein polynomials is presented for the
fractional Riccati type differential equations. By writing t→ tα (0< α< 1) in the truncated …

In this paper, we present a method to solve nonlinear Volterra–Fredholm–Hammerstein
integral equations in terms of Bernstein polynomials. Properties of these polynomials and …

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 …

A numerical direct method for solving a general class of fractional optimal control problems
(FOCPs) is presented. In the discussed FOCP, the fractional derivative in the dynamical …

In this paper, we present some efficient direct solvers for solving a system of high order
linear Volterra–Fredholm integro-differential equations (VFIDEs). A new approach …