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Collocation Spectral Methods to A Class of Fractional Ordinary Differential Equations
Huang Fenghui * #
Department of Mathematics, School of Sciences, South China University of Technology
*Correspondence author
#Submitted by
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Funding: the Fundamental Research Funds for the Central Universities,SCUT（No.N0. 2009ZM0050）, Specialized Research Fund for the Doctoral Program of Higher Education（No.No. 20070561040）
Opened online:14 January 2011
Accepted by: none
Citation: Huang Fenghui.Collocation Spectral Methods to A Class of Fractional Ordinary Differential Equations[OL]. [14 January 2011] http://en.paper.edu.cn/en_releasepaper/content/4405281
 
 
A Collocation spectral method for the approximate solution of a class of fractional ordinary differential equations is proposed. The existence and uniqueness of their solutions are also discussed. Numerical results are presented to demonstrate the effectiveness of this method and the spectral convergence.
Keywords:fractional differential equations;Caputo fractional derivative;Collocation spectral method
 
 
 

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