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.
Copyright © 2025 F.A. Faisal, Hanan Omer Zomam, Makkia Dammak. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
F. A. Faisal, H. O. Zomam, M. Dammak, Resolution of the fractional derivatives seepage flow equation in (1+N)D porous media, J. Math. Comput. Sci. 15 (2025), 10. https://doi.org/10.28919/jmcs/9346
BibTeX
@article{Faisal2025,
author = {Faisal, F.A. and Zomam, Hanan Omer and Dammak, Makkia},
title = {Resolution of the fractional derivatives seepage flow equation in (1+N)D porous media},
journal = {J. Math. Comput. Sci.},
volume = {15},
year = {2025},
pages = {10},
doi = {10.28919/jmcs/9346}
}