TY  - JOUR
VL  - 28
UR  - https://www.scopus.com/inward/record.uri?eid=2-s2.0-85088398205&doi=10.1142%2fS0218348X20400307&partnerID=40&md5=1d3345a77f88c946e2e48ec99e49fea4
A1  - Sheikh, N.A.
A1  - Ching, D.L.C.
A1  - Ullah, S.
A1  - Khan, I.
JF  - Fractals
SN  - 0218348X
PB  - World Scientific
Y1  - 2020///
KW  - Differential equations; Laplace transforms; Timing circuits
KW  -  Fractional derivatives; Fractional differential equations; Fractional parameters; Fractional-order circuit; Inverse transformations; Laplace transform techniques; Mittag-Leffler functions; Research papers
KW  -  Statistical methods
ID  - scholars12449
TI  - Mathematical and statistical analysis of RL and RC fractional-order circuits
IS  - 8
N2  - 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).
N1  - cited By 12
AV  - none
ER  -