General fractional calculus in non-singular power-law kernel applied to model anomalous diffusion phenomena in heat transfer problems

In this paper we address the general fractional calculus of Liouville-Weyl and Liouville-Caputo general fractional derivative types with non-singular power-law kernel for the first time. The Fourier transforms and the anomalous diffusions are discussed in detail. The formulations are adopted to desc...

Full description

Bibliographic Details
Main Author: Gao Feng
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2017-01-01
Series:Thermal Science
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-98361700194G.pdf