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

Due to the lack of a discrete fractional Grönwall-type inequality, the techniques of analyzing
the L 2− 1 σ difference schemes would not be correct to apply directly to the nonlinear multi …

In this work, nonstandard finite difference method is presented for the numerical solution of
time-fractional singularly perturbed convection–diffusion problems with a delay in time. The …

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 …

This paper aims to construct an effective numerical scheme to solve convection-reaction-
diffusion problems consisting of time-fractional derivative and delay in time. First, the semi …

In this paper, we extended Lie symmetry theory to the class of space-time fractional
differential equation with a delay and carried out a complete group classification of space …

A class of one‐dimensional time‐fractional parabolic differential equations with delay effects
of functional type in the time component is numerically investigated in this work. To that end …

It is essential to explore the asymptotic stability of the numerical methods for fractional
differential equations with delay since their exact solutions are unavailable or difficult to …

A second order accurate linearized fractional Crank–Nicolson–Galerkin finite element
scheme is proposed for solving the nonlinear coupled delay subdiffusion system. The …

In this paper, we constructed a linearized compact difference scheme for fourth order non-
linear fractional sub-diffusion equation with time delay and variable coefficients. The primary …