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.