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- Title
Behavior characteristics of a cap-resistor, memcapacitor, and a memristor from the response obtained of RC and RL electrical circuits described by fractional differential equations.
- Authors
GÓMEZ AGUILAR, José Francisco
- Abstract
This paper provides an analysis of RC and RL electrical circuits described by a fractional difierential equation of Caputo type. The order considered is 0<γ ≤ 1. The Laplace transform of the fractional derivative is used. To keep the dimensionality of the physical quantities, R, C, L, and an auxiliary parameter σ are introduced, characterizing the existence of fractional components in the system. The relationship between γ and σ is reported. The response obtained from the fractional RC and RL circuits exhibits the characteristic behaviors of a cap-resistor, memcapacitor, and memristor, as well as charge-voltage for memcapacitive systems and current-voltage for memristive systems. The relationship between Ohm's law and Faraday's laws for the charge stored in a capacitor and induction is reported. Illustrative examples are presented.
- Subjects
RESISTOR-inductor circuit; CAPACITORS; ELECTRIC resistors; MEMRISTORS; FRACTIONAL differential equations; LAPLACE transformation; FRACTIONAL calculus
- Publication
Turkish Journal of Electrical Engineering & Computer Sciences, 2016, Vol 24, Issue 3, p1421
- ISSN
1300-0632
- Publication type
Article
- DOI
10.3906/elk-1312-49