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
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;
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
DOI :
10.1109/ICCCAS.2008.4657858
