TY - JOUR
TI - On fractal space-time and fractional calculus
AU - Hu Yue
AU - He Ji-Huan
JN - Thermal Science
PY - 2016
VL - 20
IS - 3
SP - 773
EP - 777
PT - Article
AB - This paper gives an explanation of fractional calculus in fractal space-time. On observable scales, continuum models can be used, however, when the scale tends to a smaller threshold, a fractional model has to be adopted to describe phenomena in micro/nano structure. A time-fractional Fornberg-Whitham equation is used as an example to elucidate the physical meaning of the fractional order, and its solution process is given by the fractional complex transform.