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Necessary optimality conditions for fractional action-like integrals of variational calculus with Riemann-Liouville derivatives of order (α, β)

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Bibliographic Details
Summary:We 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 Cresson. Some interesting consequences are obtained and discussed. Copyright © 2007 John Wiley & Sons, Ltd.
Main Authors:El-Nabulsi, R.A.
Other Authors:Torres, D.F.M.
Subject:Fractional action-like variational approach Fractional constants of motion Fractional Euler-Lagrange equations
Year:2007
Country:Portugal
Document type:article
Access type:restricted access
Associated institution:Universidade de Aveiro
Language:English
Origin:RIA - Repositório Institucional da Universidade de Aveiro
Description
Summary:We 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 Cresson. Some interesting consequences are obtained and discussed. Copyright © 2007 John Wiley & Sons, Ltd.

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