Adiabatic Invariants for Generalized Fractional Birkhoffian Mechanics and Their Applications
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-13
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Perturbation to Noether symmetry and adiabatic invariants are investigated for the generalized fractional Birkhoffian system with the combined Riemann-Liouville fractional derivative and the combined Caputo fractional derivative, respectively.
Firstly, differential equations of motion for the generalized fractional Birkhoffian system are established.
Secondly, Noether symmetry and conserved quantity are studied.
Thirdly, perturbation to Noether symmetry and adiabatic invariants are presented for the generalized fractional Birkhoffian mechanics.
And finally, several applications are discussed to illustrate the results and methods.
American Psychological Association (APA)
Song, C. J.. 2018. Adiabatic Invariants for Generalized Fractional Birkhoffian Mechanics and Their Applications. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1208383
Modern Language Association (MLA)
Song, C. J.. Adiabatic Invariants for Generalized Fractional Birkhoffian Mechanics and Their Applications. Mathematical Problems in Engineering No. 2018 (2018), pp.1-18.
https://search.emarefa.net/detail/BIM-1208383
American Medical Association (AMA)
Song, C. J.. Adiabatic Invariants for Generalized Fractional Birkhoffian Mechanics and Their Applications. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1208383
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1208383