This paper proposes a linearized fast high-order time-step** scheme to solve the time–
space fractional Schrödinger equations. The time approximation is done by using the fast L2 …

A linearized spectral Galerkin/finite difference approach is developed for variable fractional-
order nonlinear diffusion–reaction equations with a fixed time delay. The temporal …

This paper focuses on the finite time consensus issue for variable-order fractional multi-
agent systems (FMASs), where each agent is characterized by the piecewise-smooth …

We propose a local modification of the standard subdiffusion model by introducing the initial
Fickian diffusion, which results in a multiscale diffusion model. The developed model …

This article adopts a novel technique to numerical solution for fractional time-delay diffusion
equation with variable-order derivative (VFDDEs). As a matter of fact, the variable-order …

In this study, the numerically stable operational matrices are proposed to approximate the
Caputo fractional-order derivatives by introducing an algorithm. The proposed operational …

This work aims to propose a new simple robust power series formula with its truncation error
to approximate the Caputo fractional-order operator D α ay (t) of order m− 1< α< m, where …

In this paper, we derive new results on the averaging principle for a class of Caputo neutral
stochastic system driven by Markovian switching and Lévy noise with variable delays and …

We prove the existence and uniqueness of the solutions to a Caputo–Hadamard fractional
stochastic differential equation driven by a multiplicative white noise, which may describe …

We analyze a finite element approximation to a viscoelastic Euler–Bernoulli beam with
internal dam** that undergoes vibrations under external excitation. We prove the …