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Proyecciones (Antofagasta)

versión impresa ISSN 0716-0917

Proyecciones (Antofagasta) vol.38 no.4 Antofagasta dic. 2019 


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

1Charotar University of Science and Technology, Dept. of Mathematical Sciences, PDPIAS, Changa, GJ, India. e-mail:

2Sardar Patel University, Dept. of Mathematics, Vallabh Vidyanagar, GJ, India. e-mail:

3Charotar University of Science and Technology, Dept. of Electrical Engineering, Changa, GJ, India. email

4Marwadi University, Dept. of Electrical Engineering, Rajkot, GJ, India. e-mail:


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.

Keywords: Resistance-Inductance circuit; Fractional differential equation; Mittag-Leffler function; Laplace transforms; Hilfer derivatives

Texto completo disponible sólo en PDF.

Full text available only in PDF format.


Authors are grateful to the referees/reviewers for their valuable comments and suggestions for the betterment of paper.


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Received: December 2017; Accepted: July 2019

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