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RLC electrical circuit of non-integer order

  • Research Article
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Central European Journal of Physics

Abstract

In this work a fractional differential equation for the electrical RLC circuit is studied. The order of the derivative being considered is 0 < γ ≤ 1. To keep the dimensionality of the physical quantities R, L and C an auxiliary parameter γ is introduced. This parameter characterizes the existence of fractional components in the system. It is shown that there is a relation between and σ through the physical parameters RLC of the circuit. Due to this relation, the analytical solution is given in terms of the Mittag-Leffler function depending on the order of the fractional differential equation.

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Authors and Affiliations

  1. Departamento de Ingeniería Eléctrica, División de Ingenierías Campus Irapuato-Salamanca, Universidad de Guanajuato, Carretera Salamanca-Valle de Santiago, km. 3.5 + 1.8 km, Comunidad de Palo Blanco, 36885, Salamanca Guanajuato, México

    Francisco Gómez, Juan Rosales & Manuel Guía

Authors
  1. Francisco Gómez
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  2. Juan Rosales
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  3. Manuel Guía
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Correspondence to Francisco Gómez.

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Gómez, F., Rosales, J. & Guía, M. RLC electrical circuit of non-integer order. centr.eur.j.phys. 11, 1361–1365 (2013). https://doi.org/10.2478/s11534-013-0265-6

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  • DOI: https://doi.org/10.2478/s11534-013-0265-6

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