A physical interpretation of fractional calculus in observables terms: analysis of the fractional time constant and the transitory response

J.F. Gómez-Aguilar, R. Razo-Hernández, D. Granados-Lieberman.

Abstract


This work presents the analysis of the fractional time constant and the transitory response (delay, rise, and settling times) of a RC circuit as a physical interpretation of fractional calculus in observables terms, the definition of Caputo fractional derivative is applied. The physical interpretation of these observables allows a clearer understanding of the concept of fractional derivative.

Keywords


Fractional calculus; fractional time constant; fractional differential equations; transitory response

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Revista Mexicana de Física

ISSN: 2683-2224 (on line), 0035-001X (print)

Bimonthly publication of Sociedad Mexicana de Física, A.C.
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