A new fractional derivative involving the normalized sinc function without singular kernel
Classical Analysis and ODEs
2018-09-05 v1
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.
Cite
@article{arxiv.1701.05590,
title = {A new fractional derivative involving the normalized sinc function without singular kernel},
author = {Xiao-Jun Yang and Feng Gao and J. A. Tenreiro Machado and Dumitru Baleanu},
journal= {arXiv preprint arXiv:1701.05590},
year = {2018}
}
Comments
Keywords: Fractional derivative, anomalous heat diffusion, integral transform, analytical solution