  We obtain an analytical solution for the pressure-transient behavior of a
vertically hydraulic fractured well in a heterogeneous reservoir. The
heterogeneity of the reservoir is modeled by using the concept of fractal
geometry. Such reservoirs are called fractal reservoirs. According to the
theory of fractional calculus, a temporal fractional derivative is applied to
incorporate the memory properties of the fractal reservoir. The effect of
different parameters on the computed wellbore pressure is fully investigated by
various synthetic examples.
