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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 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.
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 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.
Caputo-Fabrizio Derivative Applied to Groundwater Flow within Confined Aquifer
Atangana, Abdon (author) / Baleanu, Dumitru
2016
Article (Journal)
English
Caputo-Fabrizio Derivative Applied to Groundwater Flow within Confined Aquifer
| Online Contents | 2017
Modelling groundwater flow in an elastic confined aquifer
| British Library Conference Proceedings | 2002