TY - JOUR
TI - Transient heat diffusion with a non-singular fading memory: From the Cattaneo constitutive equation with Jeffrey’s Kernel to the Caputo-Fabrizio time-fractional derivative
AU - Hristov Jordan Y
JN - Thermal Science
PY - 2016
VL - 20
IS - 2
SP - 757
EP - 762
PT - Article
AB - Starting from the Cattaneo constitutive relation with a Jeffrey’s kernel the  derivation of a transient heat diffusion equation with relaxation term  expressed through the Caputo-Fabrizio time fractional derivative has been  developed. This approach allows seeing the physical background of the newly  defined Caputo-Fabrizio time fractional derivative and demonstrates how other  constitutive equations could be modified with non-singular fading memories.