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Journal Articles Nonlinear Analysis: Theory, Methods and Applications Year : 2012

Fractional Variational Calculus with Classical and Combined Caputo Derivatives

Tatiana Odzijewicz
  • Function : Author
Agnieszka B. Malinowska
  • Function : Author

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.

Dates and versions

hal-00724703 , version 1 (22-08-2012)

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Cite

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