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S. Momani and Z.M. Odibat, “Numerical Comparison of Methods for Solving Linear Differential Equations of Fractional Order,” Chaos, Solitons and Fractals, Vol. 31, No. 5, 2007, pp. 1248-1255. doi:10.1016/j.chaos.2005.10.068

has been cited by the following article:

• TITLE: Numerical Solution of Generalized Abel’s Integral Equation by Variational Iteration Method

  AUTHORS: R. N. Prajapati, Rakesh Mohan, Pankaj Kumar

  KEYWORDS: Variational Iteration Method; Singular Integral Equation; Abel’s Kernel

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.2 No.4, December 25, 2012

  ABSTRACT: In this paper, a user friendly algorithm based on the variational iteration method (VIM) is proposed to solve singular integral equations with generalized Abel’s kernel. It is observed that an approximate solutions yn(x) converges to the exact solution irrespective of the initial choice y0 (x). Illustrative numerical examples are given to demonstrate the efficiency and simplicity of the method in solving these types of singular integral equations.