A new fractional derivative without singular kernel: Application to the modelling of the steady heat flow

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.

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Bibliographic Details
Published in:Thermal science 2016-01, Vol.20 (2), p.753-756
Main Authors: Yang, Xiao-Jun, Srivastava, H.M., Machado, Tenreiro
Format: Article
Language:English
Subjects:
Conduction heating
Derivatives
Exact solutions
Heat transfer
Heat transmission
Kernels
Laplace transforms
Mathematical analysis
Mathematical models
Modelling
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Description
Summary: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.
ISSN:0354-9836
2334-7163
DOI:10.2298/TSCI151224222Y