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http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-4efc2555-aa22-4df8-9690-f7f5f422185f

Czasopismo

Fundamenta Informaticae

Tytuł artykułu

The RC Circuit Described by Local Fractional Differential Equations

Autorzy Zhao, X.-H.  Zhang, Y.  Zhao, D.  Yang, X. 
Treść / Zawartość
Warianty tytułu
Języki publikacji EN
Abstrakty
EN A non-differentiable resistor-capacitor circuit comprised of the capacitor and resistor in the fractal-time domain is first proposed in this article. The solution behavior of the corresponding local fractional ordinary differential equation is presented for the Mittag-Leffler decay defined on Cantor sets. The obtained results reveal the sufficiency of the local fractional calculus in the analysis of the fractal electrical systems.
Słowa kluczowe
EN ordinary differential equations   Mittag-Leffler decay   electric circuit   local fractional derivative  
Wydawca IOS Press
Czasopismo Fundamenta Informaticae
Rocznik 2017
Tom Vol. 151, nr 1/4
Strony 419--429
Opis fizyczny Bibliogr. 35 poz., rys., tab., wykr.
Twórcy
autor Zhao, X.-H.
  • IoT Perception Mine Research Center, China University of Mining and Technology, Xuzhou 221008, People’s Republic of China
autor Zhang, Y.
  • School of Computer Science and Technology, Nanjing Normal University, Nanjing, Jiangsu 210023, People’s Republic of China, zhangyudong@njnu.edu.cn
autor Zhao, D.
  • IoT Perception Mine Research Center, China University of Mining and Technology, Xuzhou 221008, People’s Republic of China
autor Yang, X.
  • Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou 221008, People’s Republic of China
Bibliografia
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Kolekcja BazTech
Identyfikator YADDA bwmeta1.element.baztech-4efc2555-aa22-4df8-9690-f7f5f422185f
Identyfikatory
DOI 10.3233/FI-2017-1501