Abstract

GOMEZ-AGUILAR, J.F.; RAZO-HERNANDEZ, R.  and  GRANADOS-LIEBERMAN, D.. A physical interpretation of fractional calculus in observables terms: analysis of the fractional time constant and the transitory response. Rev. mex. fis. [online]. 2014, vol.60, n.1, pp.32-38. ISSN 0035-001X.

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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