TY - JOUR
TI - A new general fractional-order derivative with Rabotnov fractional-exponential kernel
AU - Yang Xiao-Jun
AU - Ragulskis Minvydas
AU - Taha Thiab
JN - Thermal Science
PY - 2019
VL - 23
IS - 6
SP - 3711
EP - 3718
PT - Article
AB - In this article, a general fractional-order derivative of the  Riemann-Liouville type with the non-singular kernel involving the Rabotnov  fractional-exponential function is addressed for the first time. A new  general fractional-order derivative model for the anomalous diffusion is  discussed in detail. The general fractional-order derivative operator  formula is as a novel and mathematical approch proposed to give the  generalized presentation of the physical models in complex phenomena with  power law.