On flow of electric current in RL circuit using Hilfer type composite fractional derivative

On flow of electric current in RL circuit using Hilfer type composite fractional derivative

Abstract This paper deals with an interdisciplinary research work between Mathematical sciences and Electrical engineering to develop fractional model of Resistance-Inductance circuit (RL circuit). Authors obtained the analytical solution of this fractional model in terms of Mittag Leffler function....

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Autores principales: Kachhia,Krunal B., Prajapati,J. C., Pandya,K. S., Jadeja,R.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2019
Materias:
Resistance-Inductance circuit
Fractional differential equation
Mittag-Leffler function
Laplace transforms
Hilfer derivatives
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000400625
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spelling oai:scielo:S0716-091720190004006252019-11-04On flow of electric current in RL circuit using Hilfer type composite fractional derivativeKachhia,Krunal B.Prajapati,J. C.Pandya,K. S.Jadeja,R. Resistance-Inductance circuit Fractional differential equation Mittag-Leffler function Laplace transforms Hilfer derivatives Abstract This paper deals with an interdisciplinary research work between Mathematical sciences and Electrical engineering to develop fractional model of Resistance-Inductance circuit (RL circuit). Authors obtained the analytical solution of this fractional model in terms of Mittag Leffler function. Graphical interpretation of solution also discussed in this paper.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.4 20192019-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000400625en10.22199/issn.0717-6279-2019-04-0040
institution Scielo Chile
collection Scielo Chile
language English
topic Resistance-Inductance circuit
Fractional differential equation
Mittag-Leffler function
Laplace transforms
Hilfer derivatives
spellingShingle Resistance-Inductance circuit
Fractional differential equation
Mittag-Leffler function
Laplace transforms
Hilfer derivatives
Kachhia,Krunal B.
Prajapati,J. C.
Pandya,K. S.
Jadeja,R.
On flow of electric current in RL circuit using Hilfer type composite fractional derivative
description Abstract This paper deals with an interdisciplinary research work between Mathematical sciences and Electrical engineering to develop fractional model of Resistance-Inductance circuit (RL circuit). Authors obtained the analytical solution of this fractional model in terms of Mittag Leffler function. Graphical interpretation of solution also discussed in this paper.
author Kachhia,Krunal B.
Prajapati,J. C.
Pandya,K. S.
Jadeja,R.
author_facet Kachhia,Krunal B.
Prajapati,J. C.
Pandya,K. S.
Jadeja,R.
author_sort Kachhia,Krunal B.
title On flow of electric current in RL circuit using Hilfer type composite fractional derivative
title_short On flow of electric current in RL circuit using Hilfer type composite fractional derivative
title_full On flow of electric current in RL circuit using Hilfer type composite fractional derivative
title_fullStr On flow of electric current in RL circuit using Hilfer type composite fractional derivative
title_full_unstemmed On flow of electric current in RL circuit using Hilfer type composite fractional derivative
title_sort on flow of electric current in rl circuit using hilfer type composite fractional derivative
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2019
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000400625
work_keys_str_mv AT kachhiakrunalb onflowofelectriccurrentinrlcircuitusinghilfertypecompositefractionalderivative
AT prajapatijc onflowofelectriccurrentinrlcircuitusinghilfertypecompositefractionalderivative
AT pandyaks onflowofelectriccurrentinrlcircuitusinghilfertypecompositefractionalderivative
AT jadejar onflowofelectriccurrentinrlcircuitusinghilfertypecompositefractionalderivative
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