• Yang, Yin ;
  • Chen, Yanping ;
  • Huang, Yunqing
  • Received : 2013.05.20
  • Published : 2014.01.01


We propose and analyze a spectral Jacobi-collocation approximation for fractional order integro-differential equations of Fredholm-Volterra type. The fractional derivative is described in the Caputo sense. We provide a rigorous error analysis for the collection method, which shows that the errors of the approximate solution decay exponentially in $L^{\infty}$ norm and weighted $L^2$-norm. The numerical examples are given to illustrate the theoretical results.


spectral Jacobi-collocation method;fractional order Fredholm integro-differential equations;Caputo derivative


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