In this paper, compact finite difference schemes for the modified anomalous fractional sub-
diffusion equation and fractional diffusion-wave equation are studied. Schemes proposed …

In this article, we develop an analytical method for solving fractional order partial differential
equations. Our method is the generalizations of homotopy perturbations Laplace transform …

This paper is concerned with the numerical solutions of the generalized time fractional
burgers equation. We propose a linear implicit finite difference scheme for solving the …

In this paper we intend to establish fast numerical approaches to solve a class of initial-
boundary problem of time-space fractional convection–diffusion equations. We present a …

In this paper, using the collocation method we solve the nonlinear fractional integro-
differential equations (NFIDE) of the form: f (t, y (t), a CD t α 0 y (t),…, a CD t α ry (t))= λ G (t, y …

This article adapts an operational matrix formulation of the collocation method for the one-
and two-dimensional nonlinear fractional sub-diffusion equations (FSDEs). In the proposed …

A numerical direct method for solving a general class of fractional optimal control problems
(FOCPs) is presented. In the discussed FOCP, the fractional derivative in the dynamical …

In this paper a numerical technique is proposed for solving the time fractional diffusion-wave
equation. We obtain a time discrete scheme based on finite difference formula. Then, we …

In this paper, an efficient numerical method is proposed for the solution of time fractional
modified anomalous sub-diffusion equation. The proposed method is based on a finite …

In this paper a numerical technique based on a meshless method is proposed for solving the
time fractional reaction–subdiffusion equation. Firstly, we obtain a time discrete scheme …