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 is concerned with an operational matrix method based on the shifted Legendre
cardinal functions for solving the nonlinear variable-order time fractional Schrödinger …

In this paper, a new computational method is proposed to solve a class of nonlinear
stochastic differential equations (SDEs) driven by fractional Brownian motion (fBm). The …

In this paper, we generalize a one-dimensional fractional diffusion-wave equation to a one-
dimensional variable-order space-time fractional nonlinear diffusion-wave equation (V-OS …

This paper is concerned with the moving least squares (MLS) meshless approach for the
numerical solution of two-dimensional (2D) variable-order time fractional nonlinear diffusion …

Fractional order models are more complicated to solve in comparison to the integer‐order
model. When it comes to variable order models the complexity of the model even further …

In this study, the Poisson equation is generalized with the concept of variable-order (VO)
fractional derivatives called variable-order fractional Poisson equation (V-OFPE). In order to …

In this study, we focus on the mathematical model of hyperthermia treatment as one the most
constructive and effective procedures. Considering the sophisticated nature of involving …

This paper investigates a novel version for the nonlinear 2D telegraph equation involving
variable-order (VO) time fractional derivatives in the Atangana–Baleanu–Caputo sense with …

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 …