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Fractional-Order Models of the Ultracapacitors

2013
In the paper, dynamic behavior of the ultracapacitors is investigated and analyzed. The ultracapacitors are represented by equivalent electrical circuit models and mathematically described by fractional-order differential equations. The identification procedure is proposed to identify the parameters of the models.
Pawel Skruch, Wojciech Mitkowski
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Bifurcation Properties for Fractional Order Delayed BAM Neural Networks

Cognitive Computation, 2021
Changjin Xu   +4 more
semanticscholar   +1 more source

Fractional order describing functions

Signal Processing, 2015
This paper addresses limit cycles and signal propagation in dynamical systems with backlash. The study follows the describing function (DF) method for approximate analysis of nonlinearities and generalizes it in the perspective of the fractional calculus.
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Low-Order Representation of Robust Fractional-Order Controllers for Fractional-Order Interval Plants

2023 European Control Conference (ECC), 2023
Vlad Mihaly, Mircea Susca, Petru Dobra
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On Differences of Fractional Order

Proceedings of the London Mathematical Society, 1957
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Fractional Orders of Integrability

Journal of the London Mathematical Society, 1936
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