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arXiv · 1208.2363

Existence of Minimizers for Fractional Variational Problems Containing Caputo Derivatives

Loïc Bourdin·Tatiana Odzijewicz·Delfim F. M. Torres
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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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Loïc Bourdin, Tatiana Odzijewicz, Delfim F. M. Torres. 2012-08-11. Existence of Minimizers for Fractional Variational Problems Containing Caputo Derivatives. https://arxiv.org/abs/1208.2363

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