TY - JOUR
TI - Lie symmetry classification and reduction of the Riemann-Liouville fractional RDCE with four arbitrary functions
AU - Zhang Tian Qi
AU - Yun Yin-Shan
AU - Bai Yan Hong
JN - Thermal Science
PY - 2026
VL - 30
IS - 2
SP - 1169
EP - 1177
PT - Article
AB - The Lie symmetry classification of the fractional order  reaction-diffusion-convection equation (RDCE) with four arbitrary functions  in the sense of Riemann-Liouville fractional derivative is carried out by  using the Lie symmetry analysis method. It is noteworthy that the equation  retains two symmetries when it contains four arbitrary functions. When four  arbitrary functions are substituted for concrete functions, the resulting  equation exhibits enhanced symmetry. However, it is imperative to  acknowledge that the Lie algebra space that encompasses fractional order  RDCE is a sub-space of the Lie algebra of the integer order RDCE. In  summary, it has been demonstrated that the initial equation is converted  into a fractional ODE by the corresponding symmetry when four arbitrary  functions are substituted with specific functions. This provides a  foundation for further research, which may enhance our understanding of  certain phenomena in life.
DO - 10.2298/TSCI2602169Z
ER -