Articles | Volume 8, issue 4
Earth Syst. Dynam., 8, 921–929, 2017
https://doi.org/10.5194/esd-8-921-2017

Special issue: Hydro-climate dynamics, analytics and predictability

Earth Syst. Dynam., 8, 921–929, 2017
https://doi.org/10.5194/esd-8-921-2017

Research article 16 Oct 2017

Research article | 16 Oct 2017

Fractional governing equations of transient groundwater flow in confined aquifers with multi-fractional dimensions in fractional time

M. Levent Kavvas et al.

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Cited articles

Atangana, A.: Drawdown in prolate spheroidal–spherical coordinates obtained via Green's function and perturbation methods, Commun. Nonlin. Sci. Numer. Simul., 19, 1259–1269, 2014.
Atangana, A. and Baleanu, D.: Modelling the advancement of the impurities and the melted oxygen concentration within the scope of fractional calculus, Int. J. Non-Lin. Mech., 67, 278–284, 2014.
Atangana, A. and Bildik, N.: The use of fractional order derivative to predict the groundwater flow, Math. Probl. Eng., 2013, 543026, https://doi.org/10.1155/2013/543026, 2013.
Atangana, A. and Vermeulen, P.: Analytical solutions of a space-time fractional derivative of groundwater flow equation, Abstr. Appl. Anal., 2014, 381753, https://doi.org/10.1155/2014/381753, 2014.
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Short summary
A dimensionally consistent governing equation of transient, saturated groundwater flow in fractional time in a multi-fractional confined aquifer is developed. First a continuity equation for groundwater flow in fractional time and in a multi-fractional, multidimensional confined aquifer is developed. An equation of water flux is also developed. The governing equation of transient groundwater flow in a multi-fractional, multidimensional confined aquifer in fractional time is then obtained.
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