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 …

Motivated by the importance of study on the complex behaviors, which may be exhibited by
fractional order differential equations, this review paper focuses on dynamical fractional …

In this paper, a new method for generating multi-scroll chaotic attractors via constructing a
compound hyperbolic tangent-cubic nonlinear function in canonical Chua's circuit is …

Nowadays, chaotic systems are attracting considerable attention due to their special
features. The aim of this paper is to study a four-dimensional system that lacks any …

This paper proposes fractional-order systems for Hopfield Neural Network (HNN). The so-
called Predictor–Corrector Adams–Bashforth–Moulton Method (PCABMM) has been …

This article analyzes the dynamical evolution of a three-dimensional symmetric oscillator
with a fractional Caputo operator. The dynamical properties of the considered model such as …

Since the variable-order fractional systems show more complex characteristics and more
degrees of freedom due to time-varying fractional derivatives, we introduce a variable-order …

In recent years, there are numerous studies on chaotic systems with special equilibrium
curves having various shapes such as circle, butterfly, heart and apple. This paper describes …

Fractional-order chaotic oscillators are a hot topic of research and nowadays many new
mathematical models have been introduced, which can be suitable for the development of …

This paper introduces a fractional-order financial risk system for the first time. Employing well-
known tools and analyses such as bifurcations diagrams and spectral entropy, the …