Fractional Model of a Fractor

Gary W. Bohannan; Duarte Valério; Manuel D. Ortigueira

doi:10.1016/j.ifacol.2024.08.242

Fractional Model of a Fractor

Gary W. Bohannan, Duarte Valério, Manuel D. Ortigueira

Research output: Contribution to journal › Conference article › peer-review

2 Citations (Scopus)

11 Downloads (Pure)

Abstract

A fractor is an electronic component similar to a capacitor, but modelled by a fractional derivative. Consequently, while the discharge of a capacitor corresponds to an exponential evolution of voltage with time, the discharge of a fractor can be modelled with the Mittag-Leffler function. In this paper, experimental data of the discharge of a fractor is given, and used to find a model for its dynamic behaviour.

Original language	English
Pages (from-to)	508-512
Number of pages	5
Journal	IFAC-PapersOnLine
Volume	58
Issue number	12
DOIs	https://doi.org/10.1016/j.ifacol.2024.08.242
Publication status	Published - 1 Jul 2024
Event	12th IFAC Conference on Fractional Differentiation and its Applications, ICFDA 2024 - Bordeaux, France Duration: 9 Jul 2024 → 12 Jul 2024

Keywords

Capacitor
Fractional order systems
Fractor
Mechatronic Systems
Modelling

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10.1016/j.ifacol.2024.08.242Licence: CC BY-NC-ND

mainFinal published version, 1.43 MBLicence: CC BY-NC-ND

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title = "Fractional Model of a Fractor",

abstract = "A fractor is an electronic component similar to a capacitor, but modelled by a fractional derivative. Consequently, while the discharge of a capacitor corresponds to an exponential evolution of voltage with time, the discharge of a fractor can be modelled with the Mittag-Leffler function. In this paper, experimental data of the discharge of a fractor is given, and used to find a model for its dynamic behaviour.",

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AU - Bohannan, Gary W.

AU - Valério, Duarte

AU - Ortigueira, Manuel D.

PY - 2024/7/1

Y1 - 2024/7/1

N2 - A fractor is an electronic component similar to a capacitor, but modelled by a fractional derivative. Consequently, while the discharge of a capacitor corresponds to an exponential evolution of voltage with time, the discharge of a fractor can be modelled with the Mittag-Leffler function. In this paper, experimental data of the discharge of a fractor is given, and used to find a model for its dynamic behaviour.

AB - A fractor is an electronic component similar to a capacitor, but modelled by a fractional derivative. Consequently, while the discharge of a capacitor corresponds to an exponential evolution of voltage with time, the discharge of a fractor can be modelled with the Mittag-Leffler function. In this paper, experimental data of the discharge of a fractor is given, and used to find a model for its dynamic behaviour.

KW - Capacitor

KW - Fractional order systems

KW - Fractor

KW - Mechatronic Systems

KW - Modelling

UR - https://www.scopus.com/pages/publications/85203091962

U2 - 10.1016/j.ifacol.2024.08.242

DO - 10.1016/j.ifacol.2024.08.242

M3 - Conference article

AN - SCOPUS:85203091962

SN - 2405-8971

VL - 58

SP - 508

EP - 512

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 12

T2 - 12th IFAC Conference on Fractional Differentiation and its Applications, ICFDA 2024

Y2 - 9 July 2024 through 12 July 2024

ER -

Fractional Model of a Fractor

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