This paper proposes FPGA realization of an IP core for generic fractional-order derivative based on Grünwald-Letnikov approximation. design is applied to achieve reconfigurable chaotic systems. The real-time configuration boosts the suitability this particular different applications, including dynamic switching, synchronization, and encryption. proposed targets optimized utilization internal re...

For over a hundred years, the model of prey–predator has been handled extensively. It proved that Lotka–Volterra (LV) models are not stable from all previous studies. In these models, there is divergent extinction one species or cyclic oscillation. There no solution for asymptotic stability models. this paper, Caputo fractional-order prey-two predators’ with an immigration effect investigated. ...

-This paper deals with hybrid projective synchronization between a fractional order Volta chaotic system and Genesio Tesi chaotic system by using tracking control and stability theory of fractional order system. An effective controller is designed to synchronize these two systems. Numerical simulations have been done by using MATLAB. Numerical solutions via Grunwald-Letnikov method has been use...

This paper presents a series of new results in modeling of the Grünwald-Letnikov discretetime fractional difference by means of discrete-time Laguerre filers. The introduced Laguerrebased difference LD and combined fractional/Laguerre-based difference CFLD are shown to perfectly approximate its fractional difference original, for fractional order α ∈ 0, 2 . This paper is culminated with the pre...

This paper deals with synchronization between a fractional order Coullet chaotic system and an integer order Rabinovich-Fabrikant chaotic system by using tracking control and stability theory of fractional order system. An effective controller is designed to synchronize these two systems. Numerical simulations have been done by using Mathematica and Matlab both. Numerical solutions via Grünwald...

In this paper we present a random walk model for approximating a Lévy-Feller advection-dispersion process, governed by the Lévy-Feller advection-dispersion differential equation (LFADE). We show that the random walk model converges to LFADE by use of a properly scaled transition to vanishing space and time steps. We propose an explicit finite difference approximation (EFDA) for LFADE, resulting...

Optimization techniques are nowadays one of the most important branches computer science due to limitations computing power availability especially in cases mobile platforms. Algorithms which can be used on such units have optimized for memory and power. In paper we focused optimization image analysis algorithms by limiting number necessary operations. The algorithm has been designed detect fol...

Résumé Cette communication a pour but de proposer une généralisation de la notion de dérivée traditionnelle afin d’inclure les dérivées fractionnaires comme celles de Riemann-Liouville, Gruenwald-Letnikov, Weyl, Riesz, Caputo, Marchaud et d’autres variantes comme cas particuliers. Nous le démontrons de manière explicite pour la dérivée de Marchaud. Afin de définir cette notion il convient d’emp...