Analytical Solutions of a Space-Time Fractional Derivative of Groundwater Flow Equation

The classical Darcy law is generalized by regarding the water flow as a function of a noninteger order derivative of the piezometric head. This generalized law and the law of conservation of mass are then used to derive a new equation for groundwater flow. Two methods including Frobenius and Adomian...

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Bibliographic Details
Main Authors: Abdon Atangana, P. D. Vermeulen
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/381753
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