DocumentCode
3193534
Title
Numerical solution for fractional-order differential systems with time domain and frequency domain methods
Author
Xiao, Ke ; Zhou, Shangbo ; Zhang, Weiwei
Author_Institution
Comput. Dept., Chongqing Univ., Chongqing
fYear
2008
fDate
25-27 May 2008
Firstpage
655
Lastpage
659
Abstract
For a general nonlinear fractional-order differential equation, the numerical solution is a good way to approximate the trajectory of such systems. In this paper, a novel algorithm for numerical solution of fractional-order differential equations based on the definition of Grunwald-Letnikov is presented. The results of numerical solution by using the novel method and the frequency domain method are compared, and the limitations of frequency domain method are discussed.
Keywords
frequency-domain analysis; nonlinear differential equations; time-domain analysis; frequency domain methods; nonlinear fractional-order differential equation; time domain methods; Calculus; Cellular neural networks; Chaos; Differential equations; Frequency domain analysis; Function approximation; Integral equations; Laplace equations; Nonlinear equations; Transfer functions;
fLanguage
English
Publisher
ieee
Conference_Titel
Communications, Circuits and Systems, 2008. ICCCAS 2008. International Conference on
Conference_Location
Fujian
Print_ISBN
978-1-4244-2063-6
Electronic_ISBN
978-1-4244-2064-3
Type
conf
DOI
10.1109/ICCCAS.2008.4657858
Filename
4657858
Link To Document