Caputo-Fabrizio Derivative Applied to Groundwater Flow within Confined Aquifer

AbstractThe model of the movement of subsurface water via the geological formation called aquifer was extended using a newly proposed derivative with fractional order. An alternative derivative to that of Caputo-Fabrizio with fractional order was presented. The relationship between both derivatives...

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Bibliographic Details
Published in:Journal of engineering mechanics 2017-05, Vol.143 (5)
Main Authors: Atangana, Abdon, Baleanu, Dumitru
Format: Article
Language:English
Subjects:
Aquifers
Computer simulation
Derivatives
Exact solutions
Geology
Mathematical analysis
Mathematical models
Technical Papers
Transforms
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Summary:AbstractThe model of the movement of subsurface water via the geological formation called aquifer was extended using a newly proposed derivative with fractional order. An alternative derivative to that of Caputo-Fabrizio with fractional order was presented. The relationship between both derivatives was presented. The new equation was solved analytically using some integral transforms. The exact solution is therefore compared to experimental data obtained from the settlement of the University of the Free State in South Africa. The numerical simulation shows the agreement of the experimental data with an analytical solution for some values of fractional order.
ISSN:0733-9399
1943-7889
DOI:10.1061/(ASCE)EM.1943-7889.0001091