In the present work, we consider a class of fractional delay differential equations of order ρ
with Atangana-Baleanu fractional derivatives in the Caputo sense. We convert our fractional …

In this paper, the global stability analysis of fractional-order Hopfield neural networks with
time delay is investigated. A stability theorem for linear fractional-order systems with time …

This paper is concerned with long time numerical behaviors of nonlinear fractional
pantograph equations. The L1 method with the linear interpolation procedure is applied to …

This paper discusses the continuous effect of the fractional order parameter of the Lü system
where the system response starts stable, passing by chaotic behavior then reaching periodic …

Variable order differential equations are the natural extension of the said area. In many
situations, such problems have the ability to describe real-world problems more concisely …

Bursting and spiking oscillations play major roles in processing and transmitting information
in the brain through cortical neurons that respond differently to the same signal. These …

The paper investigates stability and asymptotic properties of autonomous fractional
differential systems with a time delay. As the main result, necessary and sufficient stability …

This paper deals with the stability of nonlinear fractional differential systems with delay.
Based on the Lyapunov functional method and the Lyapunov function method, respectively …

This paper discusses the problem of stabilization and destabilization of fractional oscillators
by use of a delayed feedback control. A mathematical part of the problem consists in stability …

In the utilized analysis, we consider the inverse coefficient problem of recovering the time‐
dependent diffusion coefficient along the solution of the conformable time‐diffusion equation …