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 …

In recent years, considerable attention has been devoted to distributed-order differential
equations mainly because they appear to be more effective for modelling complex …

In this article, a special point is found for the interpolation approximation of the linear
combination of multi-term fractional derivatives. The derived numerical differentiation …

The main purpose of the current paper is to propose a new numerical scheme based on the
spectral element procedure for simulating the neutral delay distributed‐order fractional …

In this paper, we investigate the finite volume method (FVM) for a distributed-order space-
fractional advection–diffusion (AD) equation. The mid-point quadrature rule is used to …

Distributed order fractional operators offer a rigorous tool for mathematical modelling of
multiphysics phenomena, where the differential orders are distributed over a range of values …

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 paper, we consider a numerical scheme for a class of non-linear time delay fractional
diffusion equations with distributed order in time. This study covers the unique solvability …

In this paper, we focus on the study of a kernel‐based method in pseudo‐spectral (PS)
mode for multi‐term and distributed order time‐fractional diffusion equations. Using the …