DocumentCode
592374
Title
Variable order fractional variational calculus for double integrals
Author
Odzijewicz, T. ; Malinowska, Agnieszka B. ; Torres, Delfim F. M.
Author_Institution
Dept. of Math., Univ. of Aveiro, Aveiro, Portugal
fYear
2012
fDate
10-13 Dec. 2012
Firstpage
6873
Lastpage
6878
Abstract
We introduce three types of partial fractional operators of variable order. An integration by parts formula for partial fractional integrals of variable order and an extension of Green´s theorem are proved. These results allow us to obtain a fractional Euler-Lagrange necessary optimality condition for variable order two-dimensional fractional variational problems.
Keywords
integration; variational techniques; Green´s theorem; double integrals; fractional Euler-Lagrange necessary optimality condition; partial fractional integrals; partial fractional operators; variable order fractional variational calculus; variable order two-dimensional fractional variational problems; Educational institutions; Equations; Fractional calculus; Integral equations; Optimal control; Green´s theorem; Variable order fractional calculus; fractional calculus of variations; optimality conditions;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location
Maui, HI
ISSN
0743-1546
Print_ISBN
978-1-4673-2065-8
Electronic_ISBN
0743-1546
Type
conf
DOI
10.1109/CDC.2012.6426489
Filename
6426489
Link To Document