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arxiv: 1601.01623 · v1 · submitted 2015-12-30 · 🧮 math.GM

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

Xiao-Jun Yang (China University of Mining , Technology , Xuzhou) , H. M. Srivastava (University of Victoria , BC , Canada , China Medical University , Taichung
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Taiwan) J. A. Tenreiro Machado (Polytechnic of Porto Portugal)
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keywords applicationderivativeflowfractionalheatkernelsingularsteady
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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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