Study of the problem of one-dimensional flow of homogenous fluids in fractal porous media

In this paper, for the first time the exact solution in the form of Mittag-Leffler series for the initial-boundary problem of the fractional differential equation is obtained expressing the process of one-dimensional motion in porous medium with complex permeability homogeneous fluid to gallery. The obtained result permits the theoretical calculations in the process of exploitation of oil fields with a fractal nature.