Fractional Herglotz variational problems with Atangana-Baleanu fractional derivatives.
J Inequal Appl
; 2018(1): 44, 2018.
Article
em En
| MEDLINE
| ID: mdl-29497264
ABSTRACT
The purpose of this paper is to solve fractional calculus of variational Herglotz problem depending on an Atangana-Baleanu fractional derivative. Since the new Atangana-Baleanu fractional derivative is non-singular and non-local, the Euler-Lagrange equations are proposed for the problems of Herglotz. Fractional variational Herglotz problems of variable order are considered and two cases are shown. The Noether-type theorem with this new fractional derivative is proved. Several typical examples of the results of this paper are expressed in this paper.
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Coleções:
01-internacional
Base de dados:
MEDLINE
Idioma:
En
Revista:
J Inequal Appl
Ano de publicação:
2018
Tipo de documento:
Article
País de afiliação:
China