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Isoperimetric problems of the calculus of variations with fractional derivatives

Ricardo Almeida, Rui A. C. Ferreira, Delfim F. M. Torres

Published 2011-05-11Version 1

In this paper we study isoperimetric problems of the calculus of variations with left and right Riemann-Liouville fractional derivatives. Both situations when the lower bound of the variational integrals coincide and do not coincide with the lower bound of the fractional derivatives are considered.

Comments: Submitted 02-Oct-2009; revised 30-Jun-2010; accepted 10-May-2011; for publication in the journal Acta Mathematica Scientia

Journal: Acta Math. Sci. Ser. B Engl. Ed. 32 (2012), no. 2, 619--630

DOI: 10.1016/S0252-9602(12)60043-5

Categories: math.OC

Subjects: 49K05, 26A33

Keywords: variations, lower bound, right riemann-liouville fractional derivatives, study isoperimetric problems, variational integrals coincide

Tags: journal article

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