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A new fractional derivative involving the normalized sinc function without singular kernel |
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| Authors: | Xiao-Jun Yang Feng Gao J A Tenreiro Machado Dumitru Baleanu |
| Institution: | 1.State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology,Xuzhou,P.R. China;2.School of Mechanics and Civil Engineering, China University of Mining and Technology,Xuzhou,P.R. China;3.Institute of Engineering, Polytechnic of Porto, Department of Electrical Engineering,Porto,Portugal;4.Department of Mathematics,Cankya University,Balgat,Turkey;5.Institute of Space Sciences,Bucharest,Romania |
| 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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