TY - JOUR
TI - A new general fractional derivative relaxation phenomenon
AU - Yang Xiao-Jun
AU - Alsolami Abdulrahman Ali
AU - Nadeem Sohail D
JN - Thermal Science
PY - 2023
VL - 27
IS - 1
SP - 721
EP - 726
PT - Article
AB - This article addresses a novel anomalous relaxation model with the new  general fractional derivative of the Sonine kernel. This operator is  considered in the sense of general fractional derivative proposed in the  work [Yang et al., General fractional derivatives with applications in  viscoelasticity, Academic Press, New York, USA, 2020]. The solution of the  mathematical model is obtained with the aid of Laplace transform. The  comparison among the classical and anomalous relaxation models is discussed  in detail. This result is proposed as a mathematical tool to model the  anomalous relaxation behavior of the complex materials.