Composition Functionals in Fractional Calculus of Variations

Abstract

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.

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

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Cited by in corpus (7)

• Fractional Variational Iteration Method for Fractional Nonlinear Differential Equations
• Fractional Variational Calculus with Classical and Combined Caputo Derivatives
• Generalized fractional calculus with applications to the calculus of variations
• A formulation of the fractional Noether-type theorem for multidimensional Lagrangians
• Fractional variational calculus for nondifferentiable functions
• Existence and Uniqueness of Solution to a Functional Integro-differential Fractional Equation
• Fractional Calculus of Variations for Double Integrals