Resolution of the fractional derivatives seepage flow equation in (1+N)D porous media

Abstract

The seepage flow equation describes the movement of groundwater through porous media like soil and rock and complexities arise when dealing with non-uniform soil conditions, unsaturated flow, or transient flow situations. In this paper, we use the Adomian decomposition method to solve fractional derivatives seepage flow equation in porous media in 1+N dimension. We give a solution as function series and we prove the convergence of the given series. Also, we give some properties of the fractional derivatives and the Adomian decomposition method and highlight the advantages of fractional approaches over classical methods.