Calculus of variations with fractional derivatives and fractional integrals

Abstract

We prove Euler-Lagrange fractional equations and sufficient optimality conditions for problems of the calculus of variations with functionals containing both fractional derivatives and fractional integrals in the sense of Riemann-Liouville.

Accepted (July 6, 2009) for publication in Applied Mathematics Letters

References in corpus (4)

• A Formulation of Noether's Theorem for Fractional Problems of the Calculus of Variations
• Fractional conservation laws in optimal control theory
• Fractional Hamilton formalism within Caputo's derivative
• Necessary Optimality Conditions for Fractional Action-Like Integrals of Variational Calculus with Riemann-Liouville Derivatives of Order $(\alpha ,\beta )$