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

2); (2) China University of Mining; (3) Polytechnic of Porto; (4) Cankya University; 5) ((1) China University of Mining; (5) Institute of Space Sciences; Dumitru Baleanu (4; Feng Gao (1; J. A. Tenreiro Machado (3); Magurele-Bucharest

arxiv: 1701.05590 · v1 · pith:LPZQWQBOnew · submitted 2017-01-08 · 🧮 math.CA

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

Xiao-Jun Yang (1 , 2) , Feng Gao (1 , J. A. Tenreiro Machado (3) , Dumitru Baleanu (4 , 5) ((1) China University of Mining , Technology , (2) China University of Mining

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(3) Polytechnic of Porto Portugal (4) Cankya University Turkey (5) Institute of Space Sciences Magurele-Bucharest Romania)

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keywords anomalousderivativefractionalfunctioninvolvingkernelnormalizedproblems

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

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