Existence of a weak solution for fractional Euler–Lagrange equationsReport as inadecuate




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1 LMAP - Laboratoire de Mathématiques et de leurs Applications Pau

Abstract : We derive sufficient conditions ensuring the existence of a weak solution u for fractional Euler-Lagrange equations of the type: ∂L-∂x u,Dα−u,t + Dα+ ∂L-∂y u,Dα−u,t = 0, on a real interval a, b and where Dα− and Dα+ are the fractional derivatives of Riemann-Liouville of order 0



Author: Loïc Bourdin -

Source: https://hal.archives-ouvertes.fr/



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