Baleanu, DumitruMehdinejadiani, B.Jafari, H.Baleanu, Dumitru2020-05-152020-05-152013Mehdinejadiani, 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).1951-6355https://hdl.handle.net/20.500.12416/3830In 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.eninfo:eu-repo/semantics/closedAccessSolute TransportDispersionFlowDerivation of a fractional Boussinesq equation for modelling unconfined groundwaterDerivation of a Fractional Boussinesq Equation for Modelling Unconfined GroundwaterArticle22281805181210.1140/epjst/e2013-01965-1