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A New Look at the Capacitor Theory
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Resumo(s)
The mathematical description of the charging process of time-varying capacitors is reviewed and a new formulation is proposed. For it, suitable fractional derivatives are described. The case of fractional capacitors that follow the Curie–von Schweidler law is considered. Through suitable substitutions, a similar scheme for fractional inductors is obtained. Formulae for voltage/current input/output are presented. Backward coherence with classic results is established and generalised to the variable order case. The concept of a tempered fractor is introduced and related to the Davidson–Cole model.
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© 2023 by the authors.
Palavras-chave
Davidson–Cole model fractional capacitor fractional derivative fractional inductor fractor tempered derivative Analysis Statistical and Nonlinear Physics Statistics and Probability