Fractional Variational Calculus with Classical and Combined Caputo Derivatives

Tatiana Odzijewicz; Agnieszka B. Malinowska; Delfim F. M. Torres

doi:10.1016/j.na.2011.01.010

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arXiv · 1101.2932

Fractional Variational Calculus with Classical and Combined Caputo Derivatives

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

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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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Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres. 2011-01-15. Fractional Variational Calculus with Classical and Combined Caputo Derivatives. https://doi.org/10.1016/j.na.2011.01.010

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