Existence of Minimizers for Fractional Variational Problems Containing Caputo Derivatives

Abstract

We study dynamic minimization problems of the calculus of variations with Lagrangian functionals containing Riemann-Liouville fractional integrals, classical and Caputo fractional derivatives. Under assumptions of regularity, coercivity and convexity, we prove existence of solutions.

This is a preprint of a paper whose final and definite form will be published in: Adv. Dyn. Syst. Appl. Submitted July 31, 2012; revised and accepted August 11, 2012

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Cited by in corpus (4)

• Duality for the left and right fractional derivatives
• The Legendre Condition of the Fractional Calculus of Variations
• Fractional Calculus of Variations of Several Independent Variables
• A survey on fractional variational calculus