In this review paper, we are mainly concerned with the numerical methods for solving
fractional equations, which are divided into the fractional differential equations (FDEs), time …

In this paper, we modified the Predictor-Corrector scheme to simulate the delay differential
equations in new generalised Caputo-type non-classical derivatives sense. We provided …

The main purpose of the current paper is to propose a new numerical scheme based on the
spectral element procedure for simulating the neutral delay distributed‐order fractional …

The generalized shifted Chebyshev polynomials (GSCP) represent a novel class of basis
functions that include free coefficients and control parameters. The GSCP are adopted to …

In this paper, an operational matrix formulation of the Tau method is herein discussed to
solve a class of delay fractional integro–differential equations. The approximate solution is …

In this paper, we derive a new version of L1-Predictor–Corrector (L1-PC) method by using
some previously given methods (L1-PC for single delay, PC for non-delay, and …

A novel collocation method based on Genocchi wavelet is presented for the numerical
solution of fractional differential equations and time‐fractional partial differential equations …

The delay PDEs are called partial functional differential equations as their unknown
solutions are used in these equations as functional arguments. On the other hand, a neutral …

A delay PDE is different from a PDE in which it depends not only on the solution at a present
stage but also on the solution at some past stage (s). In the current paper, we develop …

Numerical approach of two-derivative Runge-Kutta type method with three-stage fifth-order
(TDRKT3 (5)) is developed and proposed for solving a special type of third-order delay …