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

Authors

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

Keywords:

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

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.

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Published

2014-01-01

How to Cite

[1]
J. Gómez-Aguilar, R. Razo-Hernández, and D. Granados-Lieberman., “A physical interpretation of fractional calculus in observables terms: analysis of the fractional time constant and the transitory response”, Rev. Mex. Fís., vol. 60, no. 1 Jan-Feb, pp. 32–0, Jan. 2014.

Issue

Vol. 60 No. 1 Jan-Feb (2014): Revista Mexicana de Física.

Section

Articles

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.