THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Xiao-Jun Yang

,

Mahmoud Abdel-Aty

,

Carlo Cattani

A NEW GENERAL FRACTIONAL-ORDER DERIVATAIVE WITH RABOTNOV FRACTIONAL-EXPONENTIAL KERNEL APPLIED TO MODEL THE ANOMALOUS HEAT TRANSFER

ABSTRACT
In this paper, we consider a general fractional-order derivataive of the Liouville-Caputo type with the non-singular kernel of the Rabotnov fractional-exponential function for the first time. A new general fractional-order derivataive heat transfer model is discussed in detail. The general fractional-order derivataive formula is a new mathematical tool proposed to model the anomalous behaviors in complex and power-law phenomena.
KEYWORDS
general fractional-order derivataive, Rabotnov fractional exponential function, heat transfer, non-singular kernel, power law
PAPER SUBMITTED: 2018-03-20
PAPER REVISED: 2018-06-15
PAPER ACCEPTED: 2018-07-13
PUBLISHED ONLINE: 2019-05-26
DOI REFERENCE: https://doi.org/10.2298/TSCI180320239Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 3, PAGES [1677 - 1681]
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A new general fractional-order derivataive with Rabotnov fractional-exponential kernel applied to model the anomalous heat transfer

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence