Fractional order Butterworth filter: active and passive realizations

AS Ali, AG Radwan, AM Soliman - IEEE journal on emerging …, 2013 - ieeexplore.ieee.org
This paper presents a general procedure to obtain Butterworth filter specifications in the
fractional-order domain where an infinite number of relationships could be obtained due to …

Experimental studies on realization of fractional inductors and fractional‐order bandpass filters

MC Tripathy, D Mondal, K Biswas… - International journal of …, 2015 - Wiley Online Library
This paper presents the hardware realization and performance study of fractional inductors
of order 0< α< 2. The fractional inductors used in this work have been realized with the help …

Fractional-Order RC and RL Circuits

AG Radwan, KN Salama - Circuits, Systems, and Signal Processing, 2012 - Springer
This 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 …

Microscale electrostatic fractional capacitors using reduced graphene oxide percolated polymer composites

AM Elshurafa, MN Almadhoun, KN Salama… - Applied Physics …, 2013 - pubs.aip.org
We show that graphene-percolated polymer composites exhibit fractional capacitance
response in the frequency range of 50 kHz–2 MHz. In addition, it is shown that by varying the …

A survey of single and multi-component Fractional-Order Elements (FOEs) and their applications

ZM Shah, MY Kathjoo, FA Khanday, K Biswas… - Microelectronics …, 2019 - Elsevier
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 …

Practical realization of tunable fractional order parallel resonator and fractional order filters

A Adhikary, S Sen, K Biswas - IEEE Transactions on Circuits …, 2016 - ieeexplore.ieee.org
This paper introduces a tunable fractional order parallel resonator (FOPR) whose resonating
frequency can be tuned by the coefficient of a fractional order (FO) element (fractor). At the …

Power and energy analysis of fractional-order electrical energy storage devices

ME Fouda, AS Elwakil, AG Radwan, A Allagui - Energy, 2016 - Elsevier
Characterizing and modeling electrical energy storage devices is essential for their proper
integration in larger systems. However, basic circuit elements, ie resistors, inductors, and …

Fractional calculus in electronic circuits: a review

A Tapadar, FA Khanday, S Sen, A Adhikary - Fractional Order Systems, 2022 - Elsevier
Fractional-order (FO) systems offer a unique flexibility of arbitrary slope matching in system
gain which is not possible in conventional circuit theory. This has made application of …

Nonlinear fractional-order circuits and systems: Motivation, a brief overview, and some future directions

MS Tavazoei, M Tavakoli-Kakhki… - IEEE Open Journal of …, 2020 - ieeexplore.ieee.org
In recent years, fractional-order differential operators, and the dynamic models constructed
based on these generalized operators have been widely considered in design and practical …

Electronically tunable fully integrated fractional-order resonator

G Tsirimokou, C Psychalinos… - … on Circuits and …, 2017 - ieeexplore.ieee.org
A fully integrated implementation of a parallel fractional-order resonator that employs
together a fractional-order capacitor and a fractional-order inductor is proposed in this brief …