Derivation of a Fractional Boussinesq Equation for Modelling Unconfined Groundwater
| dc.contributor.author | Jafari, H. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Mehdinejadiani, B. | |
| dc.date.accessioned | 2020-05-15T08:56:22Z | |
| dc.date.accessioned | 2025-09-18T13:26:23Z | |
| dc.date.available | 2020-05-15T08:56:22Z | |
| dc.date.available | 2025-09-18T13:26:23Z | |
| dc.date.issued | 2013 | |
| dc.description | Jafari, Hossein/0000-0001-6807-6675; Mehdinejadiani, Behrouz/0000-0001-7600-3812 | en_US |
| dc.description.abstract | In this manuscript, a fractional Boussinesq equation is obtained by assuming power-law changes of flux in a control volume and using a fractional Taylor series. Furthermore, it was assumed that the average thickness of the watery layer of an aquifer is constant, and the linear fractional Boussinesq equation was derived. Unlike classical Boussinesq equation, due to the non-locality property of fractional derivatives, the parameters of the fractional Boussinesq equation are constant and scale-invariant. In addition, the fractional Boussinesq equation has two various fractional orders of differentiation with respect to x and y that indicate the degree of heterogeneity in the x and y directions, respectively. | en_US |
| dc.identifier.citation | Mehdinejadiani, B.; Jafari, H.; Baleanu, Dumitru, "Derivation of a fractional Boussinesq equation for modelling unconfined groundwater" European Physical Journal-Special Topics, Vol.222, No.8, pp.1805-1812, (2013). | en_US |
| dc.identifier.doi | 10.1140/epjst/e2013-01965-1 | |
| dc.identifier.issn | 1951-6355 | |
| dc.identifier.issn | 1951-6401 | |
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| dc.identifier.uri | https://doi.org/10.1140/epjst/e2013-01965-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12587 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.ispartof | The European Physical Journal Special Topics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | Derivation of a Fractional Boussinesq Equation for Modelling Unconfined Groundwater | en_US |
| dc.title | Derivation of a fractional Boussinesq equation for modelling unconfined groundwater | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Jafari, Hossein/0000-0001-6807-6675 | |
| gdc.author.id | Mehdinejadiani, Behrouz/0000-0001-7600-3812 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Jafari, Hossein/E-9912-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Mehdinejadiani, B.] Univ Kurdistan, Fac Agr, Dept Water Engn, Sanandaj, Iran; [Jafari, H.] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar 4741695447, Iran; [Baleanu, D.] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, Ankara, Turkey; [Baleanu, D.] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia; [Baleanu, D.] Inst Space Sci, R-76900 Magurele, Romania | en_US |
| gdc.description.endpage | 1812 | en_US |
| gdc.description.issue | 8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 1805 | en_US |
| gdc.description.volume | 222 | en_US |
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