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  • Retraction Note
  • Open Access

Retraction Note: Jacobi spectral solution for weakly singular integral algebraic equations of index-1

Advances in Difference Equations20152015:205

  • Received: 13 May 2015
  • Accepted: 13 May 2015
  • Published:

The original article was published in Advances in Difference Equations 2014 2014:165

This article [1] has been retracted by Professor Ravi P Agarwal, Editor-in-Chief of Advances in Difference Equations.

Following publication of this article, it was brought to the attention of the editorial and publishing staff that this article has substantial overlap with two articles by Hadizadeh, Ghoreishi, and Pishbin, published in 2011 in Applied Numerical Mathematics [2] and in 2013 in Journal of Computational and Applied Mathematics [3].

This is a violation of publication ethics which, in accordance with the Committee on Publication Ethics guidelines, warrants a retraction of the article and a notice to this effect to be published in the journal.



Open Access This is an Open Access article distributed under the terms of the Creative Commons Attribution License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited.

Authors’ Affiliations

Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China


  1. Zhao, J, Shiying, W: Jacobi spectral solution for weakly singular integral algebraic equations of index-1. Adv. Differ. Equ. 2014, 165 (2014) View ArticleGoogle Scholar
  2. Hadizadeh, M, Ghoreishi, F, Pishbin, S: Jacobi spectral solution for integral algebraic equations of index-2. Appl. Numer. Math. 61, 131-148 (2011) MathSciNetView ArticleMATHGoogle Scholar
  3. Pishbin, S, Ghoreishi, F, Hadizadeh, M: The semi-explicit Volterra integral algebraic equations with weakly singular kernels: the numerical treatments. J. Comput. Appl. Math. 245, 121-132 (2013) MathSciNetView ArticleMATHGoogle Scholar


© Zhao and Wang 2015