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MATHEMATICAL AND STATISTICAL ANALYSIS OF RL AND RC FRACTIONAL-ORDER CIRCUITS

NADEEM AHMAD SHEIKH

Fundamental and Applied Science Department, Universiti Teknologi PETRONAS, Perak 32610, Malaysia

E-mail Address: mathwise1990@gmail.com

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DENNIS LING CHUAN CHING

Fundamental and Applied Science Department, Universiti Teknologi PETRONAS, Perak 32610, Malaysia

E-mail Address: dennis.ling@utp.edu.my

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SAMI ULLAH

Fundamental and Applied Science Department, Universiti Teknologi PETRONAS, Perak 32610, Malaysia

E-mail Address: sami.khan3891@gmail.com

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, and

ILYAS KHAN

Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915, Vietnam

E-mail Address: ilyaskhan@tdtu.edu.vn

Corresponding author.

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https://doi.org/10.1142/S0218348X20400307Cited by:15 (Source: Crossref)

This article is part of the issue:

Special Issue on Fractal and Fractional with Applications to Nature
Guest Editors: Abdon Atangana, Emile Franc Goufo Ndongmo, José Francisco Gómez Aguilar, Muhammad Altaf Khan and Ilknur Koca

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.

Keywords:

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Vol. 28, No. 08

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History

Received 23 December 2019

Accepted 19 February 2020

Published: July 10, 2020

Information

This is an Open Access article in the “Special Issue on Fractal and Fractional with Applications to Nature” published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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MATHEMATICAL AND STATISTICAL ANALYSIS OF RL AND RC FRACTIONAL-ORDER CIRCUITS

Abstract

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