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

We develop a unified Petrov–Galerkin spectral method for a class of fractional partial
differential equations with two-sided derivatives and constant coefficients of the form D t 2 τ 0 …

On Linearization Coefficients of Shifted Jacobi Polynomials Page 1 Contemporary Mathematics
http://ojs.wiserpub.com/index.php/CM/ Research Article On Linearization Coefficients of Shifted …

This work presents a highly accurate method for the numerical solution of the advection–
diffusion equation of fractional order. In our proposed method, we apply the Laplace …

In this paper, a numerical technique for solving new generalized fractional order differential
equations with linear functional argument is presented. The spectral Tau method is …

In this paper, we have established a numerical method for a class of time-fractional and
Riesz space distributed-order advection–diffusion equation with time-delay. Firstly, we …

In this paper, a fractional differential equation with integral conditions is studied. The
fractional differential equation is transformed into an integral equation with two initial values …

The space-time fractional advection diffusion equations are linear partial pseudo-differential
equation with spatial fractional derivatives in time and in space and are used to model …

In this paper, an efficient numerical method is considered for solving the fractional wave
equation (FWE). The fractional derivative is described in the Caputo sense. The method is …