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200315

An Application of Fractional Calculus in Electrical Engineering

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Last updated: 23 Jan 2023

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Abstract

In this paper, we use the Caputo fractional differential operator, which is introduced by Italian scientist Caputo in 1967, an attempt as an application in electrical engineering, we obtain the solution of fractional differential equation associated with a LCR electrical circuit viz. the inductance L, the capacitance C and the resistor R in a closed form in terms of the three- parameters Mittag-Leffer function. The generalization of two parameters Mittag-Leffer function introduced by Prabhakar in 1971 in the form of three- parameters Mittag-Leffer function.

DOI

10.21608/aeta.2016.200315

Keywords

RLC Electrical circuit, Mittag-Leffler function and its extensions, Fractional derivatives

Authors

First Name

Mohd.

Last Name

Farman Ali

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Affiliation

Department of Mathematics Dcet, Dr. A.P.J. Abdul Kalam Technical University, Lucknow, India

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First Name

Manoj

Last Name

Sharma

MiddleName

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Affiliation

Department of Mathematics RJIT, BSF Academy, Tekanpur, India

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Orcid

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First Name

Renu

Last Name

Jain

MiddleName

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Affiliation

School of Mathematics and Allied Sciences, Jiwaji University, Gwalior, India

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Volume

5

Article Issue

2

Related Issue

28254

Issue Date

2016-05-01

Receive Date

2021-10-19

Publish Date

2016-05-01

Page Start

11

Page End

15

Print ISSN

2090-9535

Online ISSN

2090-9543

Article File

AETA_Volume 5_Issue 2_Pages 11-15.pdf

PDF . 475.1kB

Link

https://aeta.journals.ekb.eg/article_200315.html

Detail API

https://aeta.journals.ekb.eg/service?article_code=200315

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200,315

Type

Original Article

Type Code

2,017

Publication Type

Journal

Publication Title

Advanced Engineering Technology and Application

Publication Link

https://aeta.journals.ekb.eg/

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Article

Created At

23 Jan 2023