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 article, we present an efficient numerical algorithm, which combines the fourth-order
compact difference scheme (CDS) in space with the fast time two-mesh (TT-M) FBN-θ …

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 …

In this article, three kinds of typical Caputo-type partial differential equations are numerically
studied via the finite difference methods/the local discontinuous Galerkin finite element …

This paper develops and analyses a finite difference/spectral-Galerkin scheme for the
nonlinear fractional Schrödinger equations with Riesz space-and Caputo time-fractional …

A novel distributed order time fractional model is constructed to solve heat conduction,
anomalous diffusion and viscoelastic flow problems. Solutions of the formulated governing …

This paper introduces a high-order numerical procedure to solve the two-dimensional
distributed-order Riesz space-fractional diffusion equation. In the proposed technique, first, a …

In this work, the distributed-order time fractional Klein–Gordon–Zakharov system is
introduced by substituting the second-order temporal derivative with a distributed-order …

In this article, a time two-mesh (TT-M) algorithm combined with the H 1-Galerkin mixed finite
element (FE) method is introduced to numerically solve the nonlinear distributed-order sub …

This work deals with the distributed-order time fractional nonlinear diffusion-wave equations.
These equations are generated by replacing the first-and second-order time derivative terms …