Baleanu, DumitruBaleanu, DumitruGarra, RobertoPetras, IvoMatematik2020-04-282020-04-282013Baleanu, Dumitru; Garra, R.; Petras, I. "A Fractional Variational Approach to the Fractional Basset-Type Equation", Reports On Mathematical Physics, Vol. 72, No. 1, pp. 57-64, (2013).0034-4877https://doi.org/10.1016/S0034-4877(14)60004-5Garra, Roberto/0000-0003-0260-7095; Petras, Ivo/0000-0002-9250-6986In this paper we discuss an application of fractional variational calculus to the Basset-type fractional equations. It is well known that the unsteady motion of a sphere immersed in a Stokes fluid is described by an integro-differential equation involving derivative of real order. Here we study the inverse problem, i.e. we consider the problem from a Lagrangian point of view in the framework of fractional variational calculus. In this way we find an application of fractional variational methods to a classical physical model, finding a Basset-type fractional equation starting from a Lagrangian depending on derivatives of fractional order.eninfo:eu-repo/semantics/closedAccessBasset EquationFractional CalculusCalculus Of VariationsArticle721576410.1016/S0034-4877(14)60004-52-s2.0-84893437244WOS:000325386900004Q4Q3