This work aims to provide a new Galerkin algorithm for solving the fractional Rayleigh-
Stokes equation (FRSE). We select the basis functions for the Galerkin technique to be …

Variable-order time fractional Volterra–Fredholm integral partial differential equations with
weakly singular kernels are taken into account as results of modeling diverse physical …

In this paper, we generalize a coupled system of nonlinear reaction-advection-diffusion
equations to a variable-order fractional one by using the Caputo-Fabrizio fractional …

In the current study, we provide a novel technique based on discrete shifted Hahn
polynomials and Legendre–Gauss–Lobatto quadrature method for solving Caputo–Fabrizio …

The main purpose of this work is to present a new numerical method based on Hahn hybrid
functions (HHFs) for solving of Black–Scholes option pricing distributed order time‐fractional …

In this paper, a new version of the nonlinear space-time fractional KdV–Burgers–Kuramoto
equation has been generated via the variable-order (VO) fractional derivatives defined in the …

The main idea of this paper is to establish the novel Hahn wavelets for solving fractional-
order integro-differential equations (FIDEs). First, we introduce Hahn wavelets and some of …

This paper presents a numerical technique for solving the variable-order fractional extended
Fisher–Kolmogorov equation. The method suggested to solve this problem is based on the …

In this work, we introduce a method based on the Müntz–Legendre polynomials (M‐LPs) for
solving fractal‐fractional 2D optimal control problems that the fractal‐fractional derivative is …

In this article, nonlinear variable‐order (VO) fractional Korteweg‐de Vries (KdV) Burgers'
equation with nonsingular VO time fractional derivative is introduced and discussed. The …