TY - JOUR TI - General fractional calculus in non-singular power-law kernel applied to model anomalous diffusion phenomena in heat transfer problems AU - Gao Feng JN - Thermal Science PY - 2017 VL - 21 IS - 11 SP - 11 EP - 18 PT - Article AB - 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 describe complex phenomena of the heat transfer problems. DO - 10.2298/TSCI170310194G ER -