TY - JOUR
TI - A new general fractional-order derivataive with Rabotnov fractional-exponential kernel applied to model the anomalous heat transfer
AU - Yang Xiao-Jun
AU - Abdel-Aty Mahmoud
AU - Cattani Carlo
JN - Thermal Science
PY - 2019
VL - 23
IS - 3
SP - 1677
EP - 1681
PT - Article
AB - In this paper, we consider a general fractional-order derivataive of the Liouville-Caputo type with the non-singular kernel of the Rabotnov fractional-exponential function for the first time. A new general fractional-order derivataive heat transfer model is discussed in detail. The general fractional-order derivataive formula is a new mathematical tool proposed to model the anomalous behaviors in complex and power-law phenomena.