Recent developments on the realization of fractance device
BT Krishna - Fractional Calculus and Applied Analysis, 2021 - degruyter.com
A detailed analysis of the recent developments on the realization of fractance device is
presented. A fractance device which is used to exhibit fractional order impedance properties …
presented. A fractance device which is used to exhibit fractional order impedance properties …
Fractional-order circuits and systems: An emerging interdisciplinary research area
AS Elwakil - IEEE Circuits and Systems Magazine, 2010 - ieeexplore.ieee.org
A recent article published in this magazine has labeled fractional-order continuous-time
systems as the" 21st century systems". Indeed, this emerging research area is slowly gaining …
systems as the" 21st century systems". Indeed, this emerging research area is slowly gaining …
On a fractal LC-electric circuit modeled by local fractional calculus
A non-differentiable model of the LC-electric circuit described by a local fractional differential
equation of fractal dimensional order is addressed in this article. From the fractal …
equation of fractal dimensional order is addressed in this article. From the fractal …
Measurement of supercapacitor fractional-order model parameters from voltage-excited step response
TJ Freeborn, B Maundy… - IEEE Journal on Emerging …, 2013 - ieeexplore.ieee.org
In this paper, we propose using a numerically solved least squares fitting process to
estimate the impedance parameters of a fractional order model of supercapacitors from their …
estimate the impedance parameters of a fractional order model of supercapacitors from their …
A survey of single and multi-component Fractional-Order Elements (FOEs) and their applications
Fractional-Order circuits and networks being a widely researched field lags in its
development due to the non-availability of its basic building block ie Fractional-Order …
development due to the non-availability of its basic building block ie Fractional-Order …
Field programmable analogue array implementation of fractional step filters
In this study, the authors propose the use of field programmable analogue array hardware to
implement an approximated fractional step transfer function of order (n+ α) where n is an …
implement an approximated fractional step transfer function of order (n+ α) where n is an …
On the practical realization of higher-order filters with fractional stepping
We propose the use of a compact integer-order transfer function approximation of the
fractional-order Laplacian operator sα to realize fractional-step filters. Lowpass and …
fractional-order Laplacian operator sα to realize fractional-step filters. Lowpass and …
Passive and Active Elements Using Fractional Circuit
This paper introduces a qualitative revision of the traditional LC tank circuit in the fractional
domain. The paper can be divided into six major parts, aiming in turn to establish the various …
domain. The paper can be divided into six major parts, aiming in turn to establish the various …
On the simplest fractional-order memristor-based chaotic system
In 1695, G. Leibniz laid the foundations of fractional calculus, but mathematicians revived it
only 300 years later. In 1971, LO Chua postulated the existence of a fourth circuit element …
only 300 years later. In 1971, LO Chua postulated the existence of a fourth circuit element …
A simple three-dimensional fractional-order chaotic system without equilibrium: Dynamics, circuitry implementation, chaos control and synchronization
Chaotic systems without equilibrium points have been investigated and received significant
attention recently. In this work, we propose a new three-dimensional fractional-order chaotic …
attention recently. In this work, we propose a new three-dimensional fractional-order chaotic …