relation: https://khub.utp.edu.my/scholars/12449/
title: Mathematical and statistical analysis of RL and RC fractional-order circuits
creator: Sheikh, N.A.
creator: Ching, D.L.C.
creator: Ullah, S.
creator: Khan, I.
description: The RL and RC circuits are analyzed in this research paper. The classical model of these circuits is generalized using the modern concept of fractional derivative with Mittag-Leffler function in its kernel. The fractional differential equations are solved for exact solutions using the Laplace transform technique and the inverse transformation. The obtained solutions are plotted and presented in tables to show the effect of resistance, inductance and fractional parameter on current and voltage. Furthermore, the statistical analysis is presented to predict the seasonal of time and other parameters on the current flowing in the circuit. The statistical analysis shows that the variation in current is insignificant with respect to time and is more significant with respect to other parameters. © 2020 The Author(s).
publisher: World Scientific
date: 2020
type: Article
type: PeerReviewed
identifier:   Sheikh, N.A. and Ching, D.L.C. and Ullah, S. and Khan, I.  (2020) Mathematical and statistical analysis of RL and RC fractional-order circuits.  Fractals, 28 (8).   ISSN 0218348X     
relation: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85088398205&doi=10.1142%2fS0218348X20400307&partnerID=40&md5=1d3345a77f88c946e2e48ec99e49fea4
relation: 10.1142/S0218348X20400307
identifier: 10.1142/S0218348X20400307