Existence of Minimizers for Fractional Variational Problems Containing Caputo Derivatives
classification
🧮 math.OC
keywords
fractionalcaputocontainingderivativesexistenceproblemsassumptionscalculus
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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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