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Jordan Y. Hristov

TRANSIENT HEAT CONDUCTION WITH NON-SINGULAR MEMORY: HEAT FLUX EQUATION WITH A MITTAG-LEFFLER MEMORY NATURALLY LEADS TO ABC DERIVATIVE JORDAN HRISTOV

ABSTRACT
A constitutive heat flux equation with a Mittag-Leffler function as a memory kernel is proposed for transient heat conduction. With this new constitutive equation, the energy balance naturally leads to transient heat conduction equation with a damping term represented by the Atangana-Baleanu derivative of Caputo sense.
KEYWORDS
Constitutive flux equation, Cattaneo approach, Mittag-Leffler function, Atangana-Baleanu derivative
PAPER ACCEPTED: 2022-12-19
PUBLISHED ONLINE: 2023-01-07
DOI REFERENCE: https://doi.org/10.2298/TSCI221219223H
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 1, PAGES [433 - 438]
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Transient heat conduction with non-singular memory: Heat flux equation with a Mittag-Leffler memory naturally leads to ABC derivative Jordan Hristov

© 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