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.