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Fractional calculus of periodic distributions [PDF]
, 2011 Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson +5 more
core +4 more sources
Complexity, 2018 This paper proposed a novel fractional-order memristor-based chaotic circuit. A memristive diode bridge cascaded with a fractional-order RL filter constitutes the generalized fractional-order memristor.
Ningning Yang +4 more
doaj +1 more source
Fractional-Order Modeling and Analysis of a Three-Phase Voltage Source PWM Rectifier
IEEE Access, 2020 In this paper, the fractional-order modeling and analysis of a three-phase voltage source PWM rectifier (VSR) are researched considering the fractional-order characteristics of actual inductors and capacitors.
Junhua Xu +3 more
doaj +1 more source
Tunable fractional-order photonic differentiator based on the inverse Raman scattering in a silicon microring resonator [PDF]
, 2015 A novel photonic fractional-order temporal differentiator is proposed based on the inverse Raman scattering (IRS) in the side-coupled silicon microring resonator.
Wu, Q +19 more
core +1 more source
Complexity, 2018 First, based on a linear passive capacitor C, a linear passive inductor L, an active-charge-controlled memristor, and a fourth-degree polynomial function determined by charge, an integer-order memristive system is suggested.
Ping Zhou, Meihua Ke
doaj +1 more source
Development of Fractional Order Modeling of Voltage Source Converters
IEEE Access, 2020 This paper proposes a mathematical fractional order modelling of Voltage Source Converters (VSC). Fractional behaviour helps to model and describe a real object more accurately than the integer order model.
Monika Sharma +3 more
doaj +1 more source
Novel expressions for time domain responses of fractance device
Cogent Engineering, 2017 In this research, many novel expressions for time domain responses of fractance device to various often cited inputs have been proposed. Unlike the previous ones, our expressions have been derived based on the Caputo fractional derivative by also ...
Rawid Banchuin
doaj +1 more source
Comparative Study of Discrete Component Realizations of Fractional-Order Capacitor and Inductor Active Emulators [PDF]
Journal of Circuits, Systems and Computers, 2018 Due to the absence of commercially available fractional-order capacitors and inductors, their implementation can be performed using fractional-order differentiators and integrators, respectively, combined with a voltage-to-current conversion stage. The transfer function of fractional-order differentiators and integrators can be approximated through the
Georgia Tsirimokou +4 more
openaire +4 more sources
Realization of fractional band pass filter on reconfigurable analog device
, 2021 This paper presents a realization of fractional-order Band pass-filter (FOBF) based on the concepts of fractional order inductors and fractional order capacitors. The FOBF is designed and implemented using both simulation and hardware approaches.
Narayan, Sunil +11 more
core +1 more source
Fractional Controller Design of a DC-DC Converter for PEMFC
IEEE Access, 2020 Proton Exchange Membrane Fuel Cell (PEMFC) is difficult for application because of its high current and wide voltage output. A fractional order PID controller is introduced to a Four-Switch Buck-Boost DC/DC converter to stabilize the power output in this
Zhidong Qi +3 more
doaj +1 more source