Journal ArticleDOI
Power and energy analysis of fractional-order electrical energy storage devices
TLDR
In this article, the electrical power and energy of fractional-order capacitance and inductance were derived in both steady-state and transient conditions, and verified using a number of commercial supercapacitors and fractionalorder coils.About:
This article is published in Energy.The article was published on 2016-09-15. It has received 101 citations till now. The article focuses on the topics: Electrical element & Capacitor.read more
Citations
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A new collection of real world applications of fractional calculus in science and engineering
TL;DR: This review article aims to present some short summaries written by distinguished researchers in the field of fractional calculus that will guide young researchers and help newcomers to see some of the main real-world applications and gain an understanding of this powerful mathematical tool.
Journal ArticleDOI
Reevaluation of Performance of Electric Double-layer Capacitors from Constant-current Charge/Discharge and Cyclic Voltammetry
TL;DR: This paper revisits the calculation of capacitance, power and energy of EDLCs from the time domain constant-current step response and linear voltage waveform, under the assumption that the device behaves as an equivalent fractional-order circuit consisting of a resistance Rs in series with a constant phase element (CPE(Q, α).
Journal ArticleDOI
Electrical circuits RC, LC, and RL described by Atangana–Baleanu fractional derivatives
TL;DR: The analytical solutions for the electrical series circuits RC, LC, and RL using novel fractional derivatives of type Atangana–Baleanu with non-singular and nonlocal kernel in Liouville–Caputo and Riemann–Liouville sense were obtained.
Journal ArticleDOI
Review of fractional-order electrical characterization of supercapacitors
Anis Allagui,Anis Allagui,Todd J. Freeborn,Ahmed S. Elwakil,Ahmed S. Elwakil,Ahmed S. Elwakil,Mohammed E. Fouda,Mohammed E. Fouda,Brent Maundy,Ahmad G. Radwan,Ahmad G. Radwan,Zafar Said,Zafar Said,Mohammad Ali Abdelkareem,Mohammad Ali Abdelkareem,Mohammad Ali Abdelkareem +15 more
TL;DR: This review article is an attempt to present and discuss the main differences between ideal capacitors and supercapacitors, and especially how the performance metrics of the latter depend on the operating frequency, the charging/discharging waveform type as well as their deviation from ideality.
Journal ArticleDOI
A novel image encryption system merging fractional-order edge detection and generalized chaotic maps
Samar M. Ismail,Lobna A. Said,Ahmed G. Radwan,Ahmed G. Radwan,Ahmed H. Madian,Ahmed H. Madian,Mohamed F. Abu-Elyazeed +6 more
TL;DR: A novel lossless image encryption algorithm based on edge detection and generalized chaotic maps for key generation that has higher statistical and cryptanalytic properties and is suitable for medical imaging security is presented.
References
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Book
An Introduction to the Fractional Calculus and Fractional Differential Equations
Kenneth S. Miller,Bertram Ross +1 more
TL;DR: The Riemann-Liouville Fractional Integral Integral Calculus as discussed by the authors is a fractional integral integral calculus with integral integral components, and the Weyl fractional calculus has integral components.
Book
Fractional Calculus in Bioengineering
TL;DR: Fractional calculus (integral and differential operations of noninteger order) is not often used to model biological systems, which is surprising because the methods of fractional calculus, when defined as a Laplace or Fourier convolution product, are suitable for solving many problems in biomedical research.
Book
Electrochemical Impedance Spectroscopy and its Applications
TL;DR: In this paper, the fundamental processes of diffusion and faradaic reaction at electrodes are discussed and a review of the applications of these processes can be found in a forthcoming volume in this series.
Journal ArticleDOI
Graphene Double-Layer Capacitor with ac Line-Filtering Performance
TL;DR: Graphene nanosheets have a preponderance of exposed edge planes that greatly increases charge storage as compared with that of designs that rely on basal plane surfaces, and capacitors constructed with these electrodes could be smaller than the low-voltage aluminum electrolyte capacitors that are typically used in electronic devices.
Journal ArticleDOI
A New Battery/UltraCapacitor Hybrid Energy Storage System for Electric, Hybrid, and Plug-In Hybrid Electric Vehicles
TL;DR: In this article, a battery/ultracapacitor hybrid energy storage system (HESS) is proposed for electric drive vehicles including electric, hybrid electric, and plug-in hybrid electric vehicles.