Acta mathematica scientia, Series B >
ISOPERIMETRIC PROBLEMS OF THE CALCULUS OF VARIATIONS WITH FRACTIONAL DERIVATIVES
Received date: 2009-10-14
Revised date: 2010-06-30
Online published: 2012-03-20
Supported by
This work was supported by FEDER funds through COMPETE — Operational Programme Factors of Competitiveness (“Programa Operacional Factores de Competitividade”) and by Portuguese funds through the Center for Research and Development in Mathematics
and Applications (University of Aveiro) and the Portuguese Foundation for Science and Technology (“FCT —Funda¸c˜ao para a Ciˆencia e a Tecnologia”), within project PEst-C/MAT/UI4106/2011 with COMPETE number FCOMP-01-0124-FEDER-022690.
In this article, 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.
Ricardo Almeida , Rui A. C. Ferreira , Delfim F. M. Torres . ISOPERIMETRIC PROBLEMS OF THE CALCULUS OF VARIATIONS WITH FRACTIONAL DERIVATIVES[J]. Acta mathematica scientia, Series B, 2012 , 32(2) : 619 -630 . DOI: 10.1016/S0252-9602(12)60043-5
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