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Fractional Order Circuit Elements Derived from Electromagnetism
2019 MIXDES - 26th International Conference "Mixed Design of Integrated Circuits and Systems", 2019In this paper, derivations of fractional-order (FO) circuit-element equations from electromagnetism are presented. Whilst many papers are devoted to FO modelling of electrical circuits, there are no strong foundations for such an approach. Therefore, we investigate relations between the FO electromagnetism and the FO circuit theory.
Tomasz P. Stefanski, Jacek Gulgowski
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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 ...
Marko C. Boskovic +5 more
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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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Fractional-order circuit elements with memory
Proceedings of the 13th International Carpathian Control Conference (ICCC), 2012This paper deals with the fractional-order memristive, memcapacitative, and meminductive systems and their utilization in design of the new circuits with memory. We provide a mathematical description of such systems by using a technique of the fractional calculus. Some possible applications of “mem” systems are mentioned in article as well.
Ivo Petras, YangQuan Chen
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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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Robust numeric implementation of the fractional-order element
Journal of the Franklin InstitutezbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vlad Mihaly, Mircea Susca, Petru Dobra
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Using Fractional Order Elements for Haptic Rendering
2017Fractional order calculus—a generalization of the traditional calculus to arbitrary order differointegration—is an effective mathematical tool that broadens the modeling boundaries of the familiar integer order calculus. Fractional order models enable faithful representation of viscoelastic materials that exhibit frequency dependent stiffness and ...
Ozan Tokatli, Volkan Patoglu
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Design of Fractional Order Elements’ Series
2019 11th International Conference on Electrical and Electronics Engineering (ELECO), 2019Efficient design of fractional-order elements’ (FOEs) series using a very limited set of "seed" FOEs is proposed in this paper. The proposed technique is based on an immittance converter/inverter, here using operational transconductance amplifiers. To show the efficiency of the proposed technique, using up to two "seed" FOEs with properly selected ...
Jaroslav Koton +3 more
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Passive Synthesis of Fractional Order Immittance of Three-Element-Kind
Journal of Circuits, Systems and Computers, 2023For the actual circuit with fractional order characteristics, the fractional order circuit model is more concise and precise than the classical circuit model. So studying the synthesis of fractional order immittance is of great significance. This paper investigates the passive synthesis method of the three-element-kind fractional order immittance ...
Guishu Liang, Xiaoyu Mu
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Log-Domain Implementation of Fractional-Order Element Emulators
2019 42nd International Conference on Telecommunications and Signal Processing (TSP), 2019Novel fractional-order capacitor and inductor em-ulators are presented in this work, which offer fully electronic tunability of their characteristics and, simultaneously, reduced circuit complexity compared to those already introduced in the literature.
Panagiotis Bertsias +3 more
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