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, using the collocation method we solve the nonlinear fractional integro-
differential equations (NFIDE) of the form: f (t, y (t), a CD t α 0 y (t),…, a CD t α ry (t))= λ G (t, y …

This paper discusses a general framework for the numerical solution of multi-order fractional
delay differential equations (FDDEs) in noncanonical forms with irrational/rational multiple …

The main result obtained in this study is the following operational Tau method based on
Müntz-Legendre polynomials. This method provides a computational technique for obtaining …

We present a new numerical approach to solving the fractional differential Riccati equations
numerically. The approach—called the Mittag-Leffler–Galerkin method—comprises the finite …

The space-time fractional diffusion-wave equation (FDWE) is a generalization of classical
diffusion and wave equations which is used in modeling practical phenomena of diffusion …

A new shifted Jacobi–Gauss-collocation (SJ-GC) algorithm is presented for solving
numerically several classes of fractional integro-differential equations (FI-DEs), namely …

Fractional differential equations have been adopted for modeling many real-world problems,
namely those appearing in biological systems since they can capture memory and …

Recently, necessary conditions of stability for time-delay systems based on the handling of
the Lyapunov–Krasovskii functional have been studied in the literature giving rise to a new …

This work approximates the unknown functions based on the two-dimensional shifted
Legendre polynomials operational matrix method (2D-SLPOM) for the numerical solution of …