The use of fractional order derivative to predict the groundwater flow

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dc.contributor.authorAtangana A.
dc.contributor.authorBildik N.
dc.date.accessioned2024-07-22T08:17:41Z
dc.date.available2024-07-22T08:17:41Z
dc.date.issued2013
dc.description.abstractThe aim of this work was to convert the Thiem and the Theis groundwater flow equation to the time-fractional groundwater flow model. We first derived the analytical solution of the Theim time-fractional groundwater flow equation in terms of the generalized Wright function. We presented some properties of the Laplace-Carson transform. We derived the analytical solution of the Theis-time-fractional groundwater flow equation (TFGFE) via the Laplace-Carson transform method. We introduced the generalized exponential integral, as solution of the TFGFE. This solution is in perfect agreement with the data observed from the pumping test performed by the Institute for Groundwater Study on one of its borehole settled on the test site of the University of the Free State. The test consisted of the pumping of the borehole at the constant discharge rate Q and monitoring the piezometric head for 350 minutes. © 2013 Abdon Atangana and Necdet Bildik.
dc.identifier.DOI-ID10.1155/2013/543026
dc.identifier.issn15635147
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17096
dc.language.isoEnglish
dc.rightsAll Open Access; Gold Open Access; Green Open Access
dc.subjectGroundwater flow
dc.subjectLaplace transforms
dc.subjectMathematical techniques
dc.subjectConstant discharge
dc.subjectExponential integrals
dc.subjectFractional order derivatives
dc.subjectGroundwater flow equation
dc.subjectGroundwater Flow Model
dc.subjectPie- zometric Head
dc.subjectTransform methods
dc.subjectWright functions
dc.subjectGroundwater
dc.titleThe use of fractional order derivative to predict the groundwater flow
dc.typeArticle

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