This paper is concerned with numerical solution of the linear time-fractional diffusion
equations with constant time delay. First we investigate the existence, uniqueness and …

In this paper, we study the spatial variable coefficient fractional convection–diffusion wave
equation with the singe delay and multi-delay numerically when the exact solution satisfies a …

This work proposes a numerical scheme for a class of time-fractional convection–reaction–
diffusion problems with a time lag. Time-fractional derivative is considered in the Caputo …

This paper examines the stabilization results for a class of semi‐linear time fractional
reaction–diffusion partial differential equations (PDEs) with state delay using the …

The paper presents two linearized fully-discrete schemes to approximate the solution for the
nonlinear time-fractional delay diffusion equation. Both schemes are established using a …

We provide a high order numerical methods for solving some intelligent Robot Systems,
which are governed by the fractional nonlinear variable coefficient reaction diffusion …

In this paper, we study high-order compact schemes for semilinear parabolic moving
boundary problems. We first convert the original problem into an equivalent one defined on …

In this paper, several effective algorithms are proposed to simulate the time fractional
models. A complete analysis of the algorithms for nonlinear problems is presented, while the …