Calculus of Variations with Classical and Fractional Derivatives


Autoria(s): Odzijewicz, Tatiana; Torres, Delfim F. M.
Data(s)

21/07/2016

21/07/2016

2012

Resumo

MSC 2010: 49K05, 26A33

We give a proper fractional extension of the classical calculus of variations. Necessary optimality conditions of Euler-Lagrange type for variational problems containing both classical and fractional derivatives are proved. The fundamental problem of the calculus of variations with mixed integer and fractional order derivatives as well as isoperimetric problems are considered.

Identificador

Mathematica Balkanica New Series, Vol. 26, Fasc 1-2 (2012), 191p-202p

0205-3217

http://hdl.handle.net/10525/2663

Idioma(s)

en

Publicador

Bulgarian Academy of Sciences - National Committee for Mathematics

Palavras-Chave #variational analysis #optimality #Riemann-Liouville fractional operators #fractional differentiation #isoperimetric problems
Tipo

Article