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. © 2013 Polish Scientific Publishers.
A fractional variational approach to the fractional basset-type equation / Dumitru, Baleanu; Garra, Roberto; Ivo, Petras. - In: REPORTS ON MATHEMATICAL PHYSICS. - ISSN 0034-4877. - 72:1(2013), pp. 57-64. [10.1016/s0034-4877(14)60004-5]
A fractional variational approach to the fractional basset-type equation
GARRA, ROBERTO;
2013
Abstract
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. © 2013 Polish Scientific Publishers.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
