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

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Date

2017

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Springer Heidelberg

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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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Diffusion, Equation, Relaxation, Calculus, Models

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Citation

Yang, Xiao-Jun...et al. (2017). "A new fractional derivative involving the normalized sinc function without singular kernel", Europan Physical Journal Special-Topic, Vol.226, No.16-18, pp.3567-3575.

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Source

Europan Physical Journal Special-Topic

Volume

226

Issue

16-18

Start Page

3567

End Page

3575