Solving Linear Coupled Fractional Differential Equations by Direct Operational Method and Some Applications
Joint Authors
Lim, S. C.
Li, Ming
Mak, Kwang Hwai
Eab, Chai Hok
Chen, Sheng-yong
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-28, 28 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-29
Country of Publication
Egypt
No. of Pages
28
Main Subjects
Abstract EN
A new direct operational inversion method is introduced for solving coupled linear systems of ordinary fractional differential equations.
The solutions so-obtained can be expressed explicitly in terms of multivariate Mittag-Leffler functions.
In the case where the multiorders are multiples of a common real positive number, the solutions can be reduced to linear combinations of Mittag-Leffler functions of a single variable.
The solutions can be shown to be asymptotically oscillatory under certain conditions.
This technique is illustrated in detail by two concrete examples, namely, the coupled harmonic oscillator and the fractional Wien bridge circuit.
Stability conditions and simulations of the corresponding solutions are given.
American Psychological Association (APA)
Lim, S. C.& Eab, Chai Hok& Mak, Kwang Hwai& Li, Ming& Chen, Sheng-yong. 2011. Solving Linear Coupled Fractional Differential Equations by Direct Operational Method and Some Applications. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-28.
https://search.emarefa.net/detail/BIM-1029698
Modern Language Association (MLA)
Lim, S. C.…[et al.]. Solving Linear Coupled Fractional Differential Equations by Direct Operational Method and Some Applications. Mathematical Problems in Engineering No. 2012 (2012), pp.1-28.
https://search.emarefa.net/detail/BIM-1029698
American Medical Association (AMA)
Lim, S. C.& Eab, Chai Hok& Mak, Kwang Hwai& Li, Ming& Chen, Sheng-yong. Solving Linear Coupled Fractional Differential Equations by Direct Operational Method and Some Applications. Mathematical Problems in Engineering. 2011. Vol. 2012, no. 2012, pp.1-28.
https://search.emarefa.net/detail/BIM-1029698
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029698