Calculus of Variations with Classical and Fractional Derivatives

Odzijewicz, Tatiana, and Torres, Delfim F. M.. "Calculus of Variations with Classical and Fractional Derivatives." Mathematica Balkanica New Series 26.1-2 (2012): 191-202. <http://eudml.org/doc/281416>.

@article{Odzijewicz2012,
abstract = {MSC 2010: 49K05, 26A33We 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.},
author = {Odzijewicz, Tatiana, Torres, Delfim F. M.},
journal = {Mathematica Balkanica New Series},
keywords = {variational analysis; optimality; Riemann-Liouville fractional operators; fractional differentiation; isoperimetric problems},
language = {eng},
number = {1-2},
pages = {191-202},
publisher = {Bulgarian Academy of Sciences - National Committee for Mathematics},
title = {Calculus of Variations with Classical and Fractional Derivatives},
url = {http://eudml.org/doc/281416},
volume = {26},
year = {2012},
}

TY - JOUR
AU - Odzijewicz, Tatiana
AU - Torres, Delfim F. M.
TI - Calculus of Variations with Classical and Fractional Derivatives
JO - Mathematica Balkanica New Series
PY - 2012
PB - Bulgarian Academy of Sciences - National Committee for Mathematics
VL - 26
IS - 1-2
SP - 191
EP - 202
AB - MSC 2010: 49K05, 26A33We 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.
LA - eng
KW - variational analysis; optimality; Riemann-Liouville fractional operators; fractional differentiation; isoperimetric problems
UR - http://eudml.org/doc/281416
ER -