The paper derives fractional Euler-Lagrange equations and claims to prove the Legendre condition by the classical method, but the fixed-endpoint Legendre proof contains an erroneous estimate.
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The Euler-Lagrange and Legendre Necessary Conditions for Fractional Calculus of Variations
The paper derives fractional Euler-Lagrange equations and claims to prove the Legendre condition by the classical method, but the fixed-endpoint Legendre proof contains an erroneous estimate.