THERMAL SCIENCE

International Scientific Journal

Xiao-Jun Yang

,

H. M. Srivastava

,

J. A Tenreiro Machado

A NEW FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL: APPLICATION TO THE MODELLING OF THE STEADY HEAT FLOW

ABSTRACT
In this article we propose a new fractional derivative without singular kernel. We consider the potential application for modeling the steady heat-conduction problem. The analytical solution of the fractional-order heat flow is also obtained by means of the Laplace transform.
KEYWORDS
heat conduction, steady heat flow, analytical solution, laplace transform, fractional derivative without singular kernel
PAPER SUBMITTED: 2015-12-24
PAPER REVISED: 2015-12-25
PAPER ACCEPTED: 2015-12-25
PUBLISHED ONLINE: 2016-01-30
DOI REFERENCE: https://doi.org/10.2298/TSCI151224222Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Issue 2, PAGES [753 - 756]
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A new fractional derivative without singular kernel: Application to the modelling of the steady heat flow

© 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