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 …

This paper deals with the study and analysis of several rational approximations to approach
the behavior of arbitrary-order differentiators and integrators in the frequency domain. From …

In this research study, we establish some necessary conditions to check the uniqueness-
existence of solutions for a general multi-term ψ-fractional differential equation via …

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 …

A novel synthesis methodology of fractional-order chaotic systems, from the level of
nonlinear systems until their experimental verification using microcontrollers, is presented …

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 …

The aim of the present work is to investigate the stochastic numerical solutions of nonlinear
Painlevé II systems arising from studies of two-dimensional Yang-Mills theory, growth …