Necessary Optimality Conditions for Fractional Action-Like Integrals of Variational Calculus with Riemann-Liouville Derivatives of Order $(α,β)$

dc.creatorEl-Nabulsi, Rami Ahmad
dc.creatorTorres, Delfim F. M.
dc.date2007-02-28
dc.date.accessioned2026-07-07T08:51:28Z
dc.date.available2026-07-07T08:51:28Z
dc.descriptionWe derive Euler-Lagrange type equations for fractional action-like integrals of the calculus of variations which depend on the Riemann-Liouville derivatives of order $(α,β)$, $α> 0$, $β> 0$, recently introduced by J. Cresson and S. Darses. Some interesting consequences are obtained and discussed.
dc.descriptionThis is a preprint of an article accepted for publication (28-02-2007) in Math. Methods Appl. Sci
dc.identifierhttps://arxiv.org/abs/math-ph/0702099
dc.identifierhttp://arxiv.org/abs/math-ph/0702099
dc.identifierMath. Methods Appl. Sci. (2007), Vol. 30, Issue 15, pp. 1931--1939
dc.identifierdoi:10.1002/mma.879
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144945
dc.subjectMathematical Physics
dc.subjectOptimization and Control
dc.subject49K05; 49S05; 70H33; 26A33
dc.titleNecessary Optimality Conditions for Fractional Action-Like Integrals of Variational Calculus with Riemann-Liouville Derivatives of Order $(α,β)$
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