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arXiv · 1304.5282

A Generalized Fractional Calculus of Variations

Tatiana Odzijewicz·Agnieszka B. Malinowska·Delfim F. M. Torres
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Abstract

We study incommensurate fractional variational problems in terms of a generalized fractional integral with Lagrangians depending on classical derivatives and generalized fractional integrals and derivatives. We obtain necessary optimality conditions for the basic and isoperimetric problems, transversality conditions for free boundary value problems, and a generalized Noether type theorem.

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Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres. 2013-04-18. A Generalized Fractional Calculus of Variations. https://arxiv.org/abs/1304.5282

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