A physical interpretation of fractional calculus in observables terms: analysis of the fractional time constant and the transitory response
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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Sociedad Mexicana de Física
2014
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| Online Access: | http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2014000100006 |
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oai:scielo:S0035-001X20140001000062014-03-26A physical interpretation of fractional calculus in observables terms: analysis of the fractional time constant and the transitory responseGómez-Aguilar,J.F.Razo-Hernández,R.Granados-Lieberman,D. Fractional calculus fractional time constant fractional differential equations transitory response 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.info:eu-repo/semantics/openAccessSociedad Mexicana de FísicaRevista mexicana de física v.60 n.1 20142014-02-01info:eu-repo/semantics/articletext/htmlhttp://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2014000100006en |
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revista |
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English |
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Digital |
| author |
Gómez-Aguilar,J.F. Razo-Hernández,R. Granados-Lieberman,D. |
| spellingShingle |
Gómez-Aguilar,J.F. Razo-Hernández,R. Granados-Lieberman,D. A physical interpretation of fractional calculus in observables terms: analysis of the fractional time constant and the transitory response |
| author_facet |
Gómez-Aguilar,J.F. Razo-Hernández,R. Granados-Lieberman,D. |
| author_sort |
Gómez-Aguilar,J.F. |
| title |
A physical interpretation of fractional calculus in observables terms: analysis of the fractional time constant and the transitory response |
| title_short |
A physical interpretation of fractional calculus in observables terms: analysis of the fractional time constant and the transitory response |
| title_full |
A physical interpretation of fractional calculus in observables terms: analysis of the fractional time constant and the transitory response |
| title_fullStr |
A physical interpretation of fractional calculus in observables terms: analysis of the fractional time constant and the transitory response |
| title_full_unstemmed |
A physical interpretation of fractional calculus in observables terms: analysis of the fractional time constant and the transitory response |
| title_sort |
physical interpretation of fractional calculus in observables terms: analysis of the fractional time constant and the transitory response |
| description |
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. |
| publisher |
Sociedad Mexicana de Física |
| publishDate |
2014 |
| url |
http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2014000100006 |
| work_keys_str_mv |
AT gomezaguilarjf aphysicalinterpretationoffractionalcalculusinobservablestermsanalysisofthefractionaltimeconstantandthetransitoryresponse AT razohernandezr aphysicalinterpretationoffractionalcalculusinobservablestermsanalysisofthefractionaltimeconstantandthetransitoryresponse AT granadosliebermand aphysicalinterpretationoffractionalcalculusinobservablestermsanalysisofthefractionaltimeconstantandthetransitoryresponse AT gomezaguilarjf physicalinterpretationoffractionalcalculusinobservablestermsanalysisofthefractionaltimeconstantandthetransitoryresponse AT razohernandezr physicalinterpretationoffractionalcalculusinobservablestermsanalysisofthefractionaltimeconstantandthetransitoryresponse AT granadosliebermand physicalinterpretationoffractionalcalculusinobservablestermsanalysisofthefractionaltimeconstantandthetransitoryresponse |
| _version_ |
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