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arXiv · 1701.05590

A new fractional derivative involving the normalized sinc function without singular kernel

Xiao-Jun Yang·Feng Gao·J. A. Tenreiro Machado·Dumitru Baleanu
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Abstract

In this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution of the anomalous heat-diffusion problems. The comparative results between classical and fractional-order operators are presented. The results are significant in the analysis of one-dimensional anomalous heat-transfer problems.

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Xiao-Jun Yang, Feng Gao, J. A. Tenreiro Machado, Dumitru Baleanu. 2017-01-08. A new fractional derivative involving the normalized sinc function without singular kernel. https://doi.org/10.1140/epjst%2Fe2018-00020-2

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