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Tatiana Odzijewicz

  1. Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics.

    Mon, 03/12/2012 - 15:01 — SomNambul
    Authors: Delfim F. M. Torres, Agnieszka B. Malinowska, Tatiana Odzijewicz
    Subjects: Optimization and Control
    Abstract

    We study fractional variational problems in terms of a generalized fractional
    integral with Lagrangians depending on classical derivatives, generalized
    fractional integrals and derivatives. We obtain necessary optimality conditions
    for the basic and isoperimetric problems, as well as natural boundary
    conditions for free boundary value problems. The fractional action-like
    variational approach (FALVA) is extended and some applications to Physics
    discussed.

  2. Fractional Variational Calculus with Classical and Combined Caputo Derivatives.

    Tue, 01/18/2011 - 16:01 — SomNambul
    Authors: Delfim F. M. Torres, Agnieszka B. Malinowska, Tatiana Odzijewicz
    Subjects: Optimization and Control
    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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