The aim of this article is to investigate the time fractional coupled nonlinear Schrödinger
equation (TFCNLSE) which can be used to describe the interaction among the modes in …

In this paper, we deal with an alternative analytical analysis of fractional‐order partial
differential equations with proportional delay, achieved by applying Yang decomposition …

This paper investigates a class of the time-fractional diffusion-wave equation (TFDWE),
which incorporates a fractional derivative in the Caputo sense of order α+ 1 where 0< α< 1 …

In this paper, compact finite difference schemes with (3-α)-th order accuracy in time and
fourth order accuracy in space based on the L 1 method are constructed for time-fractional …

In this paper, a Crank–Nicolson difference scheme is first derived for solving the nonlinear
time–space fractional Schrödinger equations. The truncation error and stability of the …

In this paper, a second-order accurate implicit scheme based on the L2–1 σ formula for
temporal variable and the fractional centered difference formula for spatial discretization is …

In this paper, we consider the numerical solutions of the semilinear Riesz space-fractional
diffusion equations (RSFDEs) with time delay, which constitute an important class of …

Fractional differential equations have been proved to be powerful tools for modelling
anomalous diffusion in many fields of science and engineering. However, when comes to …

In this article, two classes of finite difference methods are constructed to solve the space
fractional semilinear delay reaction–diffusion equations. Firstly, fractional centered finite …

The present work is devoted to proposing a low-cost spectral method based on the modified
hat functions for solving fractional delay differential equations. The fractional derivative is …