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Introduction to Fractional-Order Elements and Devices
2017We introduce the motivation for the development of fractional-order elements (FOE) and fractional-order devices (FOD) derived from them. Short introductions to some of the material science and engineering applications are presented along with an introduction into the fractional calculus which has proven to be highly effective in modeling complex ...
Biswas K. +4 more
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Analysis of electrical circuits including fractional order elements
2017 6th Mediterranean Conference on Embedded Computing (MECO), 2017This paper deals with the analysis of electrical circuits with classical one-port elements including two novel defined one-port fractional order elements: fractional-order resistive-capacitive RC-α and fractional-order inductive RL-α element. The definitions and analytical relations between current, voltage and power of introduced fractional elements ...
Bošković, Marko C. +5 more
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Fractional-Order Elements Using Tunable OTA-C Structures
2021 44th International Convention on Information, Communication and Electronic Technology (MIPRO), 2021Most of the research on fractional-order (FO) systems has been presented for passive realization of FO capacitors and inductors. In this paper, an active realization of a FO capacitor or a constant-phase element (CPE) is presented in the form which can be realized as an integrated circuit. The realization is demonstrated using OTA-C structures in AMS 0.
Kostelac, Fran +2 more
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On Series Connections of Fractional-Order Elements and Memristive Elements
2020 32nd International Conference on Microelectronics (ICM), 2020This paper proposes a current-controlled fractional-order memristor emulator based on one active building block. The emulator consists of a multiplication mode current conveyor (MMCC) block with three passive elements. Additionally, the series connection of fractional-order inductor (FOI) and fractional-order capacitor (FOC) with memristive elements in
Nariman A. Khalil +4 more
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Electronic and material realizations of fractional-order elements
Materials Today: Proceedings, 2021Abstract This paper realizes a fractional-order element (FOE) with the design approaches of approximation for the desired range of frequencies. The realization of the arrangement of resistor and capacitor (RC) network topologies and different materials based hardware realization of the fractional-order element has been studied.
Mandeep Singh Walia +2 more
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Symmetrical T-network with fractional order elements
2016 IEEE 16th International Conference on Environment and Electrical Engineering (EEEIC), 2016The paper presents a symmetrical T-network utilizing fractional order elements. Fractional calculus was used for its modeling. A comparative analysis of a classic T-network and fractional order T-network step responses was carried out for both no-load condition and short-circuit condition.
Maciej Wlodarczyk, Jaroslaw Szczepaniak
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Energy Considerations for Mechanical Fractional-Order Elements
Journal of Computational and Nonlinear Dynamics, 2014This paper considers the energy aspects of fractional-order elements defined by the equation: force is proportional to the fractional-order derivative of displacement, with order varying from zero to two. In contrast to the typically conservative assumption of classical physics that leads to the potential and kinetic energy expressions, a number of ...
Carl F. Lorenzo, Tom T. Hartley
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Packaging of Single-Component Fractional Order Element
IEEE Transactions on Device and Materials Reliability, 2013In this paper, packaging issue of a single-component fractional order element (FOE) is presented. Packaging is required for better longevity and miniaturization of dimensions. In addition, it helps in fabrication of a single-component FOE as a discrete element similar to the existing passive circuit elements. An alternate electrode (platinized silicon)
Debasmita Mondal, Karabi Biswas
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Carbon Black Based Fractional Order Element: Wien oscillator implementation
2019 6th International Conference on Control, Decision and Information Technologies (CoDIT), 2019In this paper a dielectric structure made with Carbon Black has been designed to realize a Fractional Order Element (FOE). This device is hence used as capacitor to build a fractional-order Wien oscillator. FOE experimental frequency characterization, theoretical and experimental simulations on Wien oscillator are provided.
Buscarino A. +3 more
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Galerkin Projections and Finite Elements for Fractional Order Derivatives
Nonlinear Dynamics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Singh, Satwinder Jit +1 more
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