Fractional Variational Calculus with Classical and Combined Caputo Derivatives

Abstract : We give a proper fractional extension of the classical calculus of variations by considering variational functionals with a Lagrangian depending on a combined Caputo fractional derivative and the classical derivative. Euler-Lagrange equations to the basic and isoperimetric problems are proved, as well as transversality conditions.
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Submitted on : Wednesday, August 22, 2012 - 1:26:32 PM
Last modification on : Wednesday, July 27, 2016 - 2:48:48 PM

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Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres. Fractional Variational Calculus with Classical and Combined Caputo Derivatives. Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2012, 75 (3), pp.1507-1515. ⟨10.1016/j.na.2011.01.010⟩. ⟨hal-00724703⟩

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