Fractional-order chaotic oscillators (FOCOs) have been widely studied during the last
decade, and some of them have been implemented on embedded hardware like field …

The theory and applications of fractional calculus (FC) had a considerable progress during
the last years. Dynamical systems and control are one of the most active areas, and several …

" Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study
of fractional-order chaotic systems accompanied by Matlab programs for simulating their …

This book aims to propose the implementation and application of Fractional Order Systems
(FOS). It is well known that FOS can be utilized in control applications and systems …

Four-dimensional chaotic systems are a very interesting topic for researchers, given their
special features. This paper presents a novel fractional-order four-dimensional chaotic …

In this paper, a delayed fractional order financial system is proposed and the complex
dynamical behaviors of such a system are discussed by numerical simulations. A great …

In this paper, based on the stability theorems in fractional differential equations, a necessary
condition is given to check the existence of 1-scroll, 2-scroll or multi-scroll chaotic attractors …

Stability as an extremely important property of dynamical systems can be investigated in
various domains (Bellman, 1953; Dorf and Bishop, 1990). The usual concept of the bounded …

Synchronization of fractional order chaotic dynamical systems is receiving increasing
attention owing to its interesting applications in secure communications of analog and digital …

This express brief deals with the memristor-based Chua's circuit. For the first time, the
fractional-order model for such system is presented. A numerical solution of the fractional …