Fractional-order filterThis paper is a step forward to generalize the fundamentals of the conventional RC and RL circuits in fractional-order sense. The effect of fractional orders is the key factor for extra f
In this paper we propose a fractional differential equation for the electrical RC and LC circuit in terms of the fractional time derivatives of the Caputo type. The order of the derivative being considered is 0 < γ < 1. To keep the dimensionality of the physical parameters R, L, C the ...
Salama Fractional-order RC and RL circuits Circ Syst Signal Process, 31 (6) (2012), pp. 1901-1915 CrossrefView in ScopusGoogle Scholar [6] Aslihan Kartci, Agamyrat Agambayev, Norbert Herencsar, Khaled N. Salama Series-, parallel-, and inter-connection of solid-state arbitrary fractional...
In this paper, we investigate an norovirus (NoV) epidemic model with stochastic perturbation and the new definition of a nonlocal fractal–fractional derivative in the Atangana–Baleanu–Caputo (ABC) sense. First we present some basic properties includin
. 2.12 9 Fractional-order Systems and Controllers 243 3.1 Fractional-orctc.r Systems ant1 I:ractio~~;rl-rrrtierCont roll(1rs . . . . . . . . . . . . . . . . 24.1 9.1.1 Fractional-ordc.r Cont rol Systc.111 . . . . . . . . . 2-14 1 . Fractional-ordrr lransf...
Moreover, the reduction ratio is about 85%, 99%, and 93.33% for the current, active power, and torque, respectively. Keywords: renewable sources; fractional-order proportional-integral controller; intelligent pulse width modulation; variable-speed multi-rotor wind power; torque ripple; asynchronous ...
Keywords: active noise control; fractional-order calculus; multi-channel; variable step size; vehicle noise 1. Introduction Active noise control (ANC) [1–3] technology is a specific application of computer and electronic technology in the field of noise control. It uses the principle of ...
Gómez-Aguilar, J.F, Atangana, A., Morales-Delgado, V.F.: Electrical circuits RC, LC, and RL described by Atangana–Baleanu fractional derivatives. Int. J. Circuit Theory Appl. 45(11), 1514–1533 (2017) Article Google Scholar Koca, I., Atangana, A.: Solutions of Cattaneo–Hristov ...
In this paper, the basic principles of the conventional RC and RL circuits in fractional-order way and a fractional differential equation are studied in the electrical RLC circuit. We consider the order of the derivative (0 < y ≤ 1). In order to keep the dimensionality of the physical ...
RL and RC Fractional-Order CircuitsFractional DerivativesLaplace TransformStatistical AnalysisThe RL and RC circuits are analyzed in this research paper. The classical model of these circuits is generalized using the modern concept of fractional derivative with Mittag-Leffler function in its kernel. The ...