In this article, a fractional-order mathematical physics model, advection–dispersion equation
(FADE), will be solved numerically through a new approximative technique. Shifted Vieta …

In this paper, shifted Legendre polynomials will be used for constructing the numerical
solution for a class of multiterm variable‐order fractional differential equations. In the …

In this article, we introduce a numerical technique for solving a class of multi-term variable-
order fractional differential equation. The method depends on establishing a shifted Jacobi …

In this article, a numerical method for solving a fractional-order Advection-Dispersion
equation (FADE) is proposed. The fractional-order derivative of the main problem is …

This study deals with a computational scheme based on the Chebyshev cardinal wavelets
for a new class of nonlinear variable-order (VO) fractional quadratic integral equations …

This paper is concerned with numerical approach for solving space fractional diffusion
equation using shifted Gegenbauer polynomials, where the fractional derivatives are …

A new and novel numerical method has been developed based on the fractional-order
hybrid functions combining simulated annealing (SA) algorithm for the solutions of fractional …

The multiterm fractional variable-order differential equation has a massive application in
physics and engineering problems. Therefore, a numerical method is presented to solve a …

This paper is dedicated to solving a class of nonlinear fractional quadratic integral equations
of variable order. The block-by-block method based on the Gauss–Lobatto quadrature …

In this paper, the fourth kind Chebyshev wavelets collocation method (FCWM) is applied for
solving a class of fractional Volterra-Fredholm integro-differential equations with mixed …