Fractional Variational Problems Depending on Fractional Derivatives of Differentiable Functions with Application to Nonlinear Chaotic Systems
Author
Source
Conference Papers in Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-01
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
We formulate a necessary condition for functionals with Lagrangians depending on fractional derivatives of differentiable functions to possess an extremum.
The Euler-Lagrange equation we obtained generalizes previously known results in the literature and enables us to construct simple Lagrangians for nonlinear systems.
As examples of application, we obtain Lagrangians for some chaotic dynamical systems.
American Psychological Association (APA)
Jatkoske Lazo, Matheus. 2013. Fractional Variational Problems Depending on Fractional Derivatives of Differentiable Functions with Application to Nonlinear Chaotic Systems. Conference Papers in Mathematics،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-505153
Modern Language Association (MLA)
Jatkoske Lazo, Matheus. Fractional Variational Problems Depending on Fractional Derivatives of Differentiable Functions with Application to Nonlinear Chaotic Systems. Conference Papers in Mathematics No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-505153
American Medical Association (AMA)
Jatkoske Lazo, Matheus. Fractional Variational Problems Depending on Fractional Derivatives of Differentiable Functions with Application to Nonlinear Chaotic Systems. Conference Papers in Mathematics. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-505153
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505153