THERMAL SCIENCE

International Scientific Journal

Abdon AtanganaORCID

,

Dumitru Baleanu

NEW FRACTIONAL DERIVATIVES WITH NONLOCAL AND NON-SINGULAR KERNEL: THEORY AND APPLICATION TO HEAT TRANSFER MODEL

ABSTRACT
In this manuscript we proposed a new fractional derivative with non-local and no-singular kernel. We presented some useful properties of the new derivative and applied it to solve the fractional heat transfer model.
KEYWORDS
fractional derivative, nonlocal kernel, no singular kernel, generalized Mittag-Leffler function, fractional heat transfer model
PAPER SUBMITTED: 2016-01-11
PAPER REVISED: 2016-01-17
PAPER ACCEPTED: 2016-01-19
PUBLISHED ONLINE: 2016-01-30
DOI REFERENCE: https://doi.org/10.2298/TSCI160111018A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE No. 2, PAGES [763 - 769]
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New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model

© 2026 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