Characteristic Roots of a Class of Fractional Oscillators
Joint Authors
Lim, S. C.
Li, Ming
Scalia, Massimo
Cattani, Carlo
Source
Advances in High Energy Physics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-08
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The fundamental theorem of algebra determines the number of characteristic roots of an ordinary differential equation of integer order.
This may cease to be true for a differential equation of fractional order.
The results given in this paper suggest that the number of the characteristic roots of a class of oscillators of fractional order may in general be infinitely great.
Further, we infer that it may also be the case for the characteristic roots of a differential equation of fractional order greater than 1.
The relationship between the range of the fractional order and the locations of characteristic roots of oscillators in the complex plane is considered.
American Psychological Association (APA)
Li, Ming& Lim, S. C.& Cattani, Carlo& Scalia, Massimo. 2013. Characteristic Roots of a Class of Fractional Oscillators. Advances in High Energy Physics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-503565
Modern Language Association (MLA)
Li, Ming…[et al.]. Characteristic Roots of a Class of Fractional Oscillators. Advances in High Energy Physics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-503565
American Medical Association (AMA)
Li, Ming& Lim, S. C.& Cattani, Carlo& Scalia, Massimo. Characteristic Roots of a Class of Fractional Oscillators. Advances in High Energy Physics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-503565
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503565