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A new fractional derivative without singular kernel: Application to the modelling of the steady heat flow
Other   Open access  Peer reviewed

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

Yang Xiao-Jun, H Srivastava, J Tenreiro Machado and Xiao-Jun Yang
arXiv.org, Vol.20(2), pp.753-756
Cornell University Library, arXiv.org
01/01/2016
DOI: https://doi.org/10.2298/TSCI151224222Y

Abstract

Conduction heating Exact solutions Heat transfer Heat transmission Kernels Laplace transforms
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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https://doi.org/10.2298/TSCI151224222YView
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