This Special Issue aims to collect new perspectives on the trends in both theory and applications of stability fractional order continuous discrete systems, analytical numerical approaches, any related problems regarding (but not limited to) time-delayed systems impulsive all fields science, as well engineering multidisciplinary applications.

The synchronization between fractional-order hyperchaotic systems and integer-order hyperchaotic systems via sliding mode controller is investigated. By designing an active sliding mode controller and choosing proper control parameters, the drive and response systems are synchronized. Synchronization between the fractional-order Chen chaotic system and the integer-order Chen chaotic system and ...

To realize the state estimation of nonlinear continuous-time fractional-order systems, two types cubature Kalman filters are designed to solve problem on initial value influence. For first type filter (CKF), estimated system is also regarded as augmented state, and equation constructed obtain CKF based Grünwald–Letnikov difference. second CKF, hybrid extended-cubature proposed weaken influence ...

Recently, fractional order systems (FOS) have attractedmore andmore attention in various fields. But the control design techniques available for the FOS suffer from the lack of direct systematic approaches. In this paper, we focus on a given type of simple model of FOS. A fractional order [proportional derivative] (FO-[PD]) controller is proposed for this class of FOS, and a practical and syste...

this paper addresses synchronizing two coupled chaotic fitzhugh–nagumo (fhn) neurons with weakly gap junction under external electrical stimulation (ees). to transmit information among coupled neurons, by generalization of the integer-order fhn equations of the coupled system into the fractional-order in frequency domain using crone approach, the behavior of each coupled neuron relies on its pa...

This paper deals with the method of simulation of fractional order chaotic systems. We present a brief survey of the existing fractional order chaotic systems. These systems are described by three fractional differential equations where order of derivatives is a non-integer, arbitrary order. The total order of chaotic system is less than three. We present an approach where we demonstrate by an ...