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Browsing by Author "Garra, Roberto"

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    A Fractional Variational Approach To the Fractional Basset-Type Equation
    (Pergamon-elsevier Science Ltd, 2013) Garra, Roberto; Petras, Ivo; Baleanu, Dumitru
    In 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.