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

2007/02/28 by Rami Ahmad El-Nabulsi, Rami Ahmad El‐Nabulsi, Delfim F. M. Torres · 8 citations
Mathematics · Physics and Astronomy · #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #math-ph #math.MP #math.OC #msc:26A33 #msc:49K05 #msc:49S05 #msc:70H33

paper · pdf · doi:10.1002/mma.879

published as Math. Methods Appl. Sci. (2007), Vol. 30, Issue 15, pp. 1931--1939 · This is a preprint of an article accepted for publication (28-02-2007) in Math. Methods Appl. Sci

arxiv created 2007/02/28 · openalex publication_date 2007/04/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

Abstract 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.

Citations

• Fractional Differential Equations

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