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Zbl 1070.49013
Agrawal, Om P.
Formulation of Euler-Lagrange equations for fractional variational problems. (English)
[J] J. Math. Anal. Appl. 272, No. 1, 368-379 (2002). ISSN 0022-247X

The author gives an analogue of the Euler equation for the variational problem for the functional $J[y]= \int_a^b F(x,y,y^{(\alpha)}_+, y^{(\beta)}_-)\; dx$ where $y^{(\alpha)}_+$ and $ y^{(\beta)}_-$ stand, respectively, for the left-hand sided and right-hand sided fractional derivatives.
[Stefan G. Samko (Faro)]

MSC 2000:: *49K05 Free problems in one independent variable (nec./ suff.)
26A33 Fractional derivatives and integrals (real functions)

Keywords: fractional derivative; fractional variational problems

Cited in: Zbl 1156.70012 Zbl 1119.49035

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