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

Yang, Xiao-JunGao, FengTenreiro Machado, J. A.Baleanu, Dumitru2023-11-022018http://hdl.handle.net/10400.22/23816In 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.engFractional derivativeSingular kernelA new fractional derivative involving the normalized sinc function without singular kerneljournal article10.1140/epjst/e2018-00020-2