Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 75, Issue 3, Pages 1507-1515Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2011.01.010
Keywords
Fractional derivatives; Fractional variational analysis; Isoperimetric problems; Natural boundary conditions; Euler-Lagrange equations
Categories
Funding
- Portuguese Foundation for Science and Technology (FCT) through the Center for Research and Development in Mathematics and Applications (CIDMA)
- FCT [SFRH/BD/33865/2009]
- BUT grant [S/WI/00/2011]
- DFMT [UTAustin/MAT/0057/2008]
- Fundação para a Ciência e a Tecnologia [SFRH/BD/33865/2009] Funding Source: FCT
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We give a proper fractional extension of the classical calculus of variations by considering variational functionals with a Lagrangian depending on a combined Caputo fractional derivative and the classical derivative. Euler-Lagrange equations to the basic and isoperimetric problems as well as transversality conditions are proved. (C) 2011 Elsevier Ltd. All rights reserved.
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