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 …

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 …

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 …

The fractional-order hyperchaotic Lorenz system is solved as a discrete map by applying the
Adomian decomposition method (ADM). Lyapunov Characteristic Exponents (LCEs) of this …

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 …

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 …

Based on the stability theory of fractional order systems, this paper analyses the
synchronization conditions of the fractional order chaotic systems with activation feedback …

Fractional order calculus is finding increasing interest in the control system community.
Hardware realizations of fractional order controllers have sparked off a renewed zeal into …