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.
CITATION STYLE
Yang, X. J., Gao, F., Tenreiro Machado, J. A., & Baleanu, D. (2017). A new fractional derivative involving the normalized sinc function without singular kernel. European Physical Journal: Special Topics, 226(16–18), 3567–3575. https://doi.org/10.1140/epjst/e2018-00020-2
Mendeley helps you to discover research relevant for your work.