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

Yang, Xiao-Jun; Gao, Feng; Tenreiro Machado, J. A.; Baleanu, Dumitru

http://hdl.handle.net/10400.22/23816

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Authors

Yang, Xiao-Jun

Gao, Feng

Tenreiro Machado, J. A.

Baleanu, Dumitru

Abstract(s)

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.