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 …

A modeling and analysis method for fractional-order DC–DC converters

X Chen, Y Chen, B Zhang, D Qiu - IEEE Transactions on Power …, 2016 - ieeexplore.ieee.org
This paper proposes a modeling and analysis method for fractional-order dc-dc converters
operating in continuous conduction mode (CCM). As an example, a fractional-order boost …

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 …

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 …

Realization of fractional order elements

A Adhikary, M Khanra, J Pal, K Biswas - Inae Letters, 2017 - Springer
Fractional order (FO) element (FOE) is the building block for realization of FO systems, an
important research domain. However, the realization of FO system is still a challenge. Till …

A systematic procedure for deriving RC networks of fractional-order elements emulators using MATLAB

G Tsirimokou - AEU-International Journal of Electronics and …, 2017 - Elsevier
The behavior of a fractional-order capacitors can be approximated using appropriately
configured RC networks, which implement an integer-order impedance/admittance function …

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 …

Approximated fractional order Chebyshev lowpass filters

T Freeborn, B Maundy… - Mathematical Problems in …, 2015 - Wiley Online Library
We propose the use of nonlinear least squares optimization to approximate the passband
ripple characteristics of traditional Chebyshev lowpass filters with fractional order steps in …

Comparative study of discrete component realizations of fractional-order capacitor and inductor active emulators

G Tsirimokou, A Kartci, J Koton… - Journal of Circuits …, 2018 - World Scientific
Due to the absence of commercially available fractional-order capacitors and inductors, their
implementation can be performed using fractional-order differentiators and integrators …

Fractional-order inductor: Design, simulation, and implementation

L Zhang, A Kartci, A Elwakil, H Bagci… - IEEE Access, 2021 - ieeexplore.ieee.org
Fractional calculus has tremendous potential in modeling the evolution of complex systems
including those with memory. Indeed, fractional-order models are more accurate in …