Isoperimetric problems of the calculus of variations with fractional derivatives

Details Isoperimetric problems of the calculus of variations with fractional derivatives Isoperimetric problems of the calculus of variations with fractional derivatives

2011-05-11

arxiv.org/abs/1105.2078v1

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

Mathematics

Optimization and Control

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

Scientific paper

10.1016/S0252-9602(12)60043-5

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.

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