eprintid: 12449
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/01/24/49
datestamp: 2023-11-10 03:27:00
lastmod: 2023-11-10 03:27:00
status_changed: 2023-11-10 01:48:47
type: article
metadata_visibility: show
creators_name: Sheikh, N.A.
creators_name: Ching, D.L.C.
creators_name: Ullah, S.
creators_name: Khan, I.
title: Mathematical and statistical analysis of RL and RC fractional-order circuits
ispublished: pub
keywords: Differential equations; Laplace transforms; Timing circuits, Fractional derivatives; Fractional differential equations; Fractional parameters; Fractional-order circuit; Inverse transformations; Laplace transform techniques; Mittag-Leffler functions; Research papers, Statistical methods
note: cited By 12
abstract: 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).
date: 2020
publisher: World Scientific
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85088398205&doi=10.1142%2fS0218348X20400307&partnerID=40&md5=1d3345a77f88c946e2e48ec99e49fea4
id_number: 10.1142/S0218348X20400307
full_text_status: none
publication: Fractals
volume: 28
number: 8
refereed: TRUE
issn: 0218348X
citation:   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