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 …

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 …

This paper deals with designing a sliding mode controller (SMC) for a fractional-order
chaotic financial system. Using the sliding mode control technique, a sliding surface is …

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 …

This present study focuses on a dynamical model of happiness described through fractional-
order differential equations. By categorizing people of different personality and different …

The purpose of this paper is to investigate optimal control the non-linear fractional-order
chaotic system of cancer cells by use of particle swarm optimization and genetic algorithms …

We present a new predictor–corrector method to solve non-linear fractional differential
equations involving Caputo derivative. The proposed method is compared with the fractional …