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 …

We show an application of a subdiffusion equation with Caputo fractional time derivative
with respect to another function g to describe subdiffusion in a medium having a structure …

Time-dependent fractional partial differential equations typically require huge amounts of
memory and computational time, especially for long-time integration, which taxes …

An initial-boundary value problem of subdiffusion type is considered; the temporal
component of the differential operator has the form∑ i= 1 ℓ qi (t) D t α iu (x, t), where the qi …

We present a fully-discrete finite element scheme to a generalized distributed-order time-
fractional option pricing model, which adequately describes, eg, the valuation of the …

We use a subdiffusion equation with fractional Caputo time derivative with respect to another
function g (g-subdiffusion equation) to describe a smooth transition from ordinary …

A fully implicit finite-difference time-domain (FDTD) scheme with second-order space-time
accuracy for Maxwell's equations in a Cole–Cole dispersive medium is proposed and …

In this article, we propose an effective scheme based on a combination of the Tau method
and fractional-order Gegenbauer wavelets for solving the multi-term time-fractional …

In this paper, we discuss the analysis and the numerical solution of the time-space fractional
Schnakenberg reaction-diffusion model with a fixed time delay. This model is a natural …

In this paper, a fast second-order finite-difference time-domain (FDTD) algorithm based on
the recently proposed FL 2-1 σ formula and a weighted approach is presented for solving …