In this paper, a numerical scheme based on hybrid Chelyshkov functions (HCFs) is
presented to solve a class of fractional optimal control problems (FOCPs). To this end, by …

In this paper, we solve a system of fractional differential equations within a fractional
derivative involving the Mittag-Leffler kernel by using the spectral methods. We apply the …

The principal aim of the current paper is to present and analyze two new spectral algorithms
for solving some types of linear and nonlinear fractional-order differential equations. The …

The aim of this paper is to propose a new formulation of the fractional optimal control
problems involving Mittag–Leffler nonsingular kernel. By using the Lagrange multiplier …

In this paper, we formulate a new nonstandard finite difference (NSFD) scheme to study the
dynamic treatments of a class of fractional chaotic systems. To design the new proposed …

This paper is concerned with the application of the spectral tau and collocation methods to
delay multi-order fractional differential equations with vanishing delay rx (0< r< 1). The …

In this article, the authors propose to investigate the numerical solutions of several fractional-
order models of the multi-space coupled Korteweg–De Vries equation involving many …

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 …

In this study, a Legendre spectral tau method is revisited to handle the multi-term time-
fractional diffusion equations (MTT-FDEs). An error estimate and rigorous convergence …

In the current study, we introduce fractional-order Boubaker polynomials related to the
Boubaker polynomials to achieve the numerical result for pantograph differential equations …