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 …

In this study a new framework for solving three-dimensional (3D) time fractional diffusion
equation with variable-order derivatives is presented. Firstly, a θ-weighted finite difference …

A computational approach based on finite difference scheme and a redefined extended B-
spline functions is presented to study the approximate solution of time fractional advection …

The mathematical modeling in trade and finance issues is the key purpose in the
computation of the value and considering option during preferences in contract. This paper …

This article addresses three classes of fractional oscillators named Class I, II and III. It is
known that the solutions to fractional oscillators of Class I type are represented by the Mittag …

The B-spline function is made up of a set of smooth piecewise polynomials that are
controlled by a set of control points. A linear combination of B-spline basis of a particular …

The present paper deals with cubic B-spline approximation together with θ θ-weighted
scheme to obtain numerical solution of the time fractional advection diffusion equation using …

This paper focusses on the numerical technique based on a localized meshless collocation
method for approximating the Burgers-type equation in two dimensions. The method uses …

Variable-order fractional advection-diffusion equations have always been employed as a
powerful tool in complex anomalous diffusion modeling. The proposed paper is devoted to …

In this manuscript, we present a radial basis function based local collocation method for
solving time fractional diffusion-wave equation. The advantage of the local collocation …