Existence of Minimizers for Fractional Variational Problems Containing Caputo Derivatives

Published 11 Aug 2012 in math.OC | (1208.2363v1)

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.

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