Fractional damped oscillators and fractional forced oscillators

In this paper, we use fractional calculus to discuss fractional mechanics, where the time derivative is replaced with the fractional derivative of order ν . We deal with the motion of a body in a resisting medium where the retarding force is assumed to be proportional to the fractional velocity that...

Full description

Saved in:
Bibliographic Details
Published inJournal of the Korean Physical Society Vol. 64; no. 2; pp. 186 - 191
Main Authors Chung, Won Sang, Jung, Min
Format Journal Article
LanguageEnglish
Published Dordrecht The Korean Physical Society 01.01.2014
한국물리학회
Subjects
Mathematical and Computational Physics
Particle and Nuclear Physics
Physics
Physics and Astronomy
Theoretical
물리학
Fractional mechanics
Fractional oscillator
Fractional calculus
Online AccessGet full text

Cover

More Information
Summary:In this paper, we use fractional calculus to discuss fractional mechanics, where the time derivative is replaced with the fractional derivative of order ν . We deal with the motion of a body in a resisting medium where the retarding force is assumed to be proportional to the fractional velocity that is obtained by applying the fractional derivative to the position. The fractional oscillator problem, the fractional oscillator problem with resistance and the fractional forced oscillator problem are also studied
Bibliography:G704-000411.2014.64.2.025
ISSN:0374-4884
1976-8524
DOI:10.3938/jkps.64.186