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

J. García | Zendy; J. David Filoteo | Zendy; Andrés Rojas González | Zendy

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

Author(s) -

J. García,

J. David Filoteo,

Andrés Rojas González

Publication year - 2018

Publication title -

revista mexicana de física

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.181

H-Index - 25

eISSN - 2683-2224

pISSN - 0035-001X

DOI - 10.31349/revmexfis.64.647

Subject(s) - conformable matrix , fractional calculus , derivative (finance) , mathematics , order (exchange) , class (philosophy) , electronic circuit , work (physics) , mathematical analysis , computer science , physics , thermodynamics , finance , quantum mechanics , artificial intelligence , financial economics , economics

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.

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