The hallmark of fractional-order derivatives is a memory kernel to describe real-world
phenomena with a better approximation than classical calculus. In fractional-order chaotic …

Mathematical models based on fractional-order differential equations have recently gained
interesting insights into epidemiological phenomena, by virtue of their memory effect and …

At present, the multistability analysis in discrete nonlinear fractional-order systems is a
subject that is receiving a lot of attention. In this article, a new discrete non-equilibrium point …

This study intends to examine different dynamics of the chaotic incommensurate fractional‐
order Hopfield neural network model. The stability of the proposed incommensurate‐order …

Recently, it was discovered that the use of fractional derivatives induces the occurrence of
multistable states in PWL systems with multiple scrolls. In this paper, we show the …

In this paper, a new two-dimensional fractional-order discrete rational map with γth-Caputo
fractional difference operator is introduced. The study of the presence and stability of the …

An unusual chaotic oscillator consisting of two parameters, six quadratic nonlinear terms,
and eight unstable equilibrium points that form vertices of a parallelepiped has been …

The optimization of fractional-order (FO) chaotic systems is challenging when simulating a
considerable number of cases for long times, where the primary problem is verifying if the …

Dynamical analysis of the incommensurate fractional-order neural network is a novel topic in
the field of chaos research. This article investigates a Hopfield neural network (HNN) system …

In this paper, a new nonlinear dynamic system, new three-dimensional fractional order
complex chaotic system, is presented. This new system can display hidden chaotic attractors …