Explicit form of the solution of the mixed problem for the seepage equation in a fractured-porous spatial layer with predominantly horizontal permeability

For the Barenblatt-Zheltov-Kochina model representation of seepage of a fluid in a fractured-porous rock, an explicit form of the solution of the mixed problem in a fractured-porous spatial layer with predominantly horizontal permeability is found by reducing the problem to solution of the abstract mixed problem in a Banach space.