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

• J.J. Rosales ^[1] ; J.D. Filoteo ^[1] ; A. González ^[1]
  1. [1] Universidad de Guanajuato

     Universidad de Guanajuato

     México

     
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 64, Nº. 6, 2018, págs. 647-654
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.