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 …

Partial fraction expansion–based realizations of fractional‐order differentiators and integrators using active filters

P Bertsias, C Psychalinos, BJ Maundy… - … Journal of Circuit …, 2019 - Wiley Online Library
Approximations of the fractional‐order differentiator and integrator operators s±r are
proposed in this work. These approximations target the realization of these operators using …

Dynamic phase extraction in high-SNR DAS based on UWFBGs without phase unwrapping using scalable homodyne demodulation in direct detection

Y Muanenda, S Faralli, CJ Oton, C Cheng, M Yang… - Optics express, 2019 - opg.optica.org
We demonstrate a Distributed Acoustic Sensor (DAS) based on Ultra-Weak Fiber Bragg
Gratings (UWFBGs) using a scalable homodyne demodulation in direct detection. We show …

Dynamics of a neuron exposed to integer-and fractional-order discontinuous external magnetic flux

K Rajagopal, F Nazarimehr, A Karthikeyan… - Frontiers of Information …, 2019 - Springer
We propose a modified Fitzhugh-Nagumo neuron (MFNN) model. Based on this model, an
integer-order MFNN system (case A) and a fractional-order MFNN system (case B) were …

Design and application examples of CMOS fractional-order differentiators and integrators

P Bertsias, C Psychalinos, A Elwakil, L Safari… - Microelectronics …, 2019 - Elsevier
Reduced complexity CMOS fractional-order differentiator and integrator building blocks are
introduced in this work, based on 2 nd-order integer-order transfer function approximations …

Reconnection–less reconfigurable fractional–order current–mode integrator design with simple control

L Langhammer, R Sotner, J Dvorak, J Jerabek… - IEEE …, 2021 - ieeexplore.ieee.org
A design of a fractional-order (FO) integrator is introduced for the operation of the resulting
solution in the current mode (CM). The solution of the integrator is based on the utilization of …

A Low Power Analog Integrated Fractional Order Type-2 Fuzzy PID Controller

V Alimisis, NP Eleftheriou, E Georgakilas, C Dimas… - Fractal and …, 2024 - mdpi.com
This paper introduces an analog integrated fractional order type-2 fuzzy PID control system.
Current approaches frequently depend on energy-intensive embedded digital systems …

整数阶与分数阶非连续外磁通量的神经元动力学

K Rajagopal, F Nazarimehr, A Karthikeyan, A Alsaedi… - Frontiers, 2019 - jzus.zju.edu.cn
提出一种改进Fitzugh-Nagumo 神经元(MFNN) 模型. 在此模型基础上, 研究了基于整数阶(案例A
) 与分数阶(案例B) 的MFNN 系统. 在电磁感应和辐射作用下, 记忆和感应呈现多种分布 …

MOS realizations of fractional-order elements

S Kapoulea, P Bertsias, C Psychalinos… - Fractional-Order …, 2022 - Elsevier
The exploitation of fractional calculus in engineering applications requires the utilization of
fractional-order elements. As there is no immediate access to such type of elements …

[PDF][PDF] Reconnection–less Reconfigurable Fractional–Order Current–Mode Integrator Design With Simple Control

JAN JERABEK, D ANDRIUKAITIS - epubl.ktu.edu
ABSTRACT A design of a fractional-order (FO) integrator is introduced for the operation of
the resulting solution in the current mode (CM). The solution of the integrator is based on the …