Distributed-order fractional calculus (DOFC) is a rapidly emerging branch of the broader
area of fractional calculus that has important and far-reaching applications for the modeling …

In this review paper, we are mainly concerned with the finite difference methods, the
Galerkin finite element methods, and the spectral methods for fractional partial differential …

Because they are useful for both enabling numerical simulations and containing well-
defined physical phenomena, discrete fractional reaction–diffusion models have attracted a …

The distributed-order fractional diffusion equation is a generalization of the standard
fractional diffusion equation that can model processes lacking power-law scaling over the …

This paper proposes the alternating direction implicit (ADI) numerical approaches for
computing the solution of multi-dimensional distributed-order fractional integrodifferential …

In this paper, we shall present the alternating direction implicit (ADI) Galerkin finite element
method (FEM) for solving the distributed-order time-fractional mobile–immobile equation in …

A distributed order time fractional diffusion equation whose solution has a weak singularity
near the initial time t= 0 t= 0 is considered. The numerical method of the paper uses the well …

In this work we present a new numerical method for the solution of the distributed order time-
fractional diffusion equation. The method is based on the approximation of the solution by a …

In this letter, we consider the numerical approximation of a two-dimensional distributed-
order time–space fractional reaction–diffusion equation. The time-and space-fractional …

A finite difference/spectral method is proposed for the numerical approximation of a
distributed order time fractional diffusion equation with initial singularity on two dimensional …