Agnieszka B. Malinowska, Moulay Rchid Sidi Ammi, Delfim F. M. Torres
Published 2010-09-14, updated 2010-09-16Version 2
We prove Euler-Lagrange and natural boundary necessary optimality conditions for fractional problems of the calculus of variations which are given by a composition of functionals. Our approach uses the recent notions of Riemann-Liouville fractional derivatives and integrals in the sense of Jumarie. As an application, we get optimality conditions for the product and the quotient of fractional variational functionals.
Comments: This is a preprint of a paper whose final form has appeared in Commun. Frac. Calc. 1 (2010) 32-40
Journal: Commun. Frac. Calc. 1 (2010) 32-40
The Legendre Condition of the Fractional Calculus of Variations
The DuBois-Reymond Fundamental Lemma of the Fractional Calculus of Variations and an Euler-Lagrange Equation Involving only Derivatives of Caputo
Computational Methods in the Fractional Calculus of Variations and Optimal Control
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