A comparative analysis of the RC circuit with local and non-local fractional derivatives



Document title: A comparative analysis of the RC circuit with local and non-local fractional derivatives
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000460989
ISSN: 0035-001X
Authors: 1
1
2
Institutions: 1Universidad de Guanajuato, División de Ingenierías, Salamanca, Guanajuato. México
2Universidad de Guanajuato, León, Guanajuato. México
Year:
Season: Nov-Dic
Volumen: 64
Number: 6
Pages: 647-654
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract This work is devoted to investigate solutions to RC circuits using four different types of time fractional diferential operators of order 0<𝛾≤1. The fractional derivatives considered are, Caputo, Caputo-Fabrizio, Atangana-Baleanu and the conformable derivative. It is shown that Atangana-Baleanu fractional derivative (non-local), and the conformable (local) derivative could describe a wider class of physical processes then the Caputo and Caputo-Fabrizio. The solutions are exactly equal for all four erivatives only for the case 𝛾=1
Disciplines: Física y astronomía
Keyword: Física,
Caputo-Fabrizio,
Atangana-Baleanu,
Derivado conformable
Keyword: Physics,
Caputo-Fabrizio,
Atangana-Baleanu,
Conformable derivative
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