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

Yang, Xiao-JunGao, FengMachado, J. A. TenreiroBaleanu, Dumitru2020-02-282020-02-282017Yang, 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.3567-3575.1951-6355http://hdl.handle.net/20.500.12416/2553In 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.eninfo:eu-repo/semantics/closedAccessDiffusionEquationRelaxationCalculusModelsA new fractional derivative involving the normalized sinc function without singular kernelA New Fractional Derivative Involving the Normalized Sinc Function Without Singular KernelArticle22616-183567357510.1140/epjst/e2018-00020-2