مشخصات پژوهش

عنوان	Stability and chaos control of regularized Prabhakar fractional dynamical systems without and with delay
نوع پژوهش	مقاله چاپ‌شده در مجله
کلیدواژه‌ها	chaotic attractors, generalized Mittag-Leffler function, linear feedback controller, Lyapunov stability, regularized Prabhakar fractional derivative, time delay
چکیده	In this paper, we studied the stabilization of nonlinear regularized Prabhakar fractional dynamical systems without and with time delay. We establish a Lyapunov stabiliy theorem for these systems and study the asymptotic stability of these systems without design a positive definite function V (without considering the fractional derivative of function V is negative). We design a linear feedback controller to control and stabilize the nonautonomous and autonomous chaotic regularized Prabhakar fractional dynamical systems without and with time delay. By means of the Lyapunov stability, we obtain the control parameters for these type of systems. We further present a numerical method to solve and analyze regularized Prabhakar fractional systems. Furthermore, by employing numerical simulation, we reveal chaotic attractors and asymptotic stability behaviors for four systems to illustrate the presented theorem.
پژوهشگران	شیوا اسحقی چالشتری (نفر اول)، رضا خوش سیر قاضیانی (نفر دوم)، علیرضا انصاری (نفر سوم)