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In this paper, an anomalous advection-dispersion model involving a new general Liouville-Caputo fractional-order derivative is addressed for the first time. The series solutions of the general fractional advection-dispersion equations are obtained with the aid of the Laplace transform. The results are given to demonstrate the efficiency of the proposed formulations to describe the anomalous advection dispersion processes.doi:10.3390/e20010078 pmid:33265165 fatcat:2kphkwjozrc7hepyzpnzrqqrvy