Isoperimetric problems of the calculus of variations with fractional derivatives

Abstract

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.

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

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Cited by in corpus (2)

• Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense
• Generalized Transversality Conditions in Fractional Calculus of Variations