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 …

[HTML][HTML] A study of the nonlinear dynamics of human behavior and its digital hardware implementation

AH ElSafty, MF Tolba, LA Said, AH Madian… - Journal of advanced …, 2020 - Elsevier
This paper introduces an intensive discussion for the dynamical model of the love triangle in
both integer and fractional-order domains. Three different types of nonlinearities soft, hard …

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 …

Modeling and analysis of fractional order DC-DC converter

AG Radwan, AA Emira, AM AbdelAty, AT Azar - ISA transactions, 2018 - Elsevier
Due to the non-idealities of commercial inductors, the demand for a better model that
accurately describe their dynamic response is elevated. So, the fractional order models of …

FPGA implementation of the fractional order integrator/differentiator: Two approaches and applications

MF Tolba, LA Said, AH Madian… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
Exploring the use of fractional calculus is essential for it to be used properly in various
applications. Implementing the fractional operator D α in FPGA is an important research …

Parameter identification of fractional-order chaotic systems using different meta-heuristic optimization algorithms

DA Yousri, AM AbdelAty, LA Said, AS Elwakil… - Nonlinear …, 2019 - Springer
Fractional-order chaotic systems (FOCS) parameter identification is an essential issue in
chaos control and synchronization process. In this paper, different recent Meta-heuristic …

Three fractional-order-capacitors-based oscillators with controllable phase and frequency

LA Said, AG Radwan, AH Madian… - Journal of Circuits …, 2017 - World Scientific
This paper presents a generalization of six well-known quadrature third-order oscillators into
the fractional-order domain. The generalization process involves replacement of three …

All possible topologies of the fractional-order Wien oscillator family using different approximation techniques

O Elwy, LA Said, AH Madian, AG Radwan - Circuits, Systems, and Signal …, 2019 - Springer
This paper introduces all the possible topologies of the Wien bridge oscillator family. This
family has 72 topologies, 24 of them contain only RC or RL pairs, and the rest contain mixed …

Effect of different approximation techniques on fractional-order KHN filter design

EM Hamed, AM AbdelAty, LA Said… - Circuits, Systems, and …, 2018 - Springer
Having an approximate realization of the fractance device is an essential part of fractional-
order filter design and implementation. This encouraged researchers to introduce many …

[КНИГА][B] Mathematical techniques of fractional order systems

AT Azar, AG Radwan, S Vaidyanathan - 2018 - books.google.com
Mathematical Techniques of Fractional Order Systems illustrates advances in linear and
nonlinear fractional-order systems relating to many interdisciplinary applications, including …