Composition Functionals in Fractional Calculus of Variations

Details Composition Functionals in Fractional Calculus of Variations Composition Functionals in Fractional Calculus of Variations

2010-09-14

arxiv.org/abs/1009.2671v2

Commun. Frac. Calc. 1 (2010) 32-40

Mathematics

Optimization and Control

This is a preprint of a paper whose final form has appeared in Commun. Frac. Calc. 1 (2010) 32-40

Scientific paper

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.

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