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Advances in Mathematical Physics
Volume 2013 (2013), Article ID 821327, 14 pages
http://dx.doi.org/10.1155/2013/821327
Research Article

Spectral-Collocation Methods for Fractional Pantograph Delay-Integrodifferential Equations

1College of Civil Engineering and Mechanics, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, Hunan 411105, China
2Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, Hunan 411105, China

Received 15 May 2013; Accepted 15 September 2013

Academic Editor: Varsha Daftardar-Gejji

Copyright © 2013 Yin Yang and Yunqing Huang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We propose and analyze a spectral Jacobi-collocation approximation for fractional order integrodifferential equations of Volterra type with pantograph delay. The fractional derivative is described in the Caputo sense. We provide a rigorous error analysis for the collocation method, which shows that the error of approximate solution decays exponentially in norm and weighted -norm. The numerical examples are given to illustrate the theoretical results.