Fractional-Order Bio-Impedance Modeling for Interdisciplinary Applications: A Review
IEEE Access, 2021 Bio-impedance circuit modeling is a popular and effective non-invasive technique used in medicine and biology to fit the measured spectral impedance data of living or non-living tissues.
Menna Mohsen +4 more
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An efficient method for the fractional electric circuits based on Fibonacci wavelet
Results in Physics, 2023 In this article, we provide effective computational algorithms based on Fibonacci wavelet (FW) to approximate the solution of fractional order electrical circuits (ECs).
Shahid Ahmed +3 more
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Oscillators Based on Fractional-Order Memory Elements
Fractal and Fractional, 2022 This paper deals with the new oscillator structures that contain new elements, so-called memory elements, known as memristor, meminductor, and memcapacitor. Such circuits can exhibit oscillations as well as chaotic behavior.
Ivo Petráš
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A new extension of the Cayley-Hamilton theorem to fractional different orders linear systems [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2022 The classical Cayley–Hamilton theorem is extended to fractional different order linear systems. The new theorems are applied to different orders fractional linear electrical circuits. The applications of new theorems are illustrated by numerical examples.
Tadeusz Kaczorek
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Fractional-Order Inductor: Design, Simulation, and Implementation
IEEE Access, 2021 Fractional calculus has tremendous potential in modeling the evolution of complex systems including those with memory. Indeed, fractional-order models are more accurate in approximating non-locally distributed dynamics with short- or long-term memory ...
Li Zhang +4 more
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FRACTIONAL-ORDER EVOLUTIONARY DESIGN OF DIGITAL CIRCUITS [PDF]
IFAC Proceedings Volumes, 2006 Abstract This paper analyses the performance of a Genetic Algorithm (GA) in the synthesis of digital circuits using a new approach. The novel concept extends the classical fitness function by introducing a fractional-order dynamical evaluation. The dynamic fitness function results from an analogy with control systems where it is possible to benefit ...
Reis, Cecília +3 more
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Fractance with Tunable Fractor’s Order for Microwave Circuit Applications
Applied Sciences, 2022 There is an increasing number of studies in the literature to implement fractional order components by means of equivalent circuits based on integer order components.
Dario Assante
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Electrical Circuits Described by General Fractional Conformable Derivative
Frontiers in Energy Research, 2022 The general fractional conformable derivative (GCD) and its attributes have been described by researchers in the recent times. Compared with other fractional derivative definitions, this derivative presents a generalization of the conformable derivative ...
Omar Kahouli +8 more
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Modified projective synchronization of fractional-order hyperchaotic memristor-based Chua’s circuit
Journal of Innovative Applied Mathematics and Computational Sciences, 2022 This paper investigates the modified projective synchronization (MPS) between two hyperchaotic memristor-based Chua circuits modeled by two nonlinear integer-order and fractional-order systems.
Nadjet Boudjerida +2 more
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Circuit Implementation of Variable-Order Scaling Fractal-Ladder Fractor with High Resolution
Fractal and Fractional, 2022 Extensive research has been conducted on the scaling fractal fractor using various structures. The development of high-resolution emulator circuits to achieve a variable-order scaling fractal fractor with high resolution is a major area of interest.
Bo Yu, Yifei Pu, Qiuyan He, Xiao Yuan
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