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Abdou, M.A., El-Kalla, I.L. and Al-Bugami, A.M. (2011) New Approach for Convergence of the Series Solution to a Class of Hammerstein Integral Equations. International Journal of Applied Mathematics and Computation, 3, 261-269.

has been cited by the following article:

• TITLE: Numerical Solution of Nonlinear Mixed Integral Equation with a Generalized Cauchy Kernel

  AUTHORS: Fatheah Ahmed Hendi, Manal Mohamed Al-Qarni

  KEYWORDS: Singular Integral Equation, Linear and Nonlinear V-FIE, Homotopy Perturbation Method (HPM), Cauchy Kernel

  JOURNAL NAME: Applied Mathematics, Vol.8 No.2, February 28, 2017

  ABSTRACT: In this article, we present approximate solution of the two-dimensional singular nonlinear mixed Volterra-Fredholm integral equations (V-FIE), which is deduced by using new strategy (combined Laplace homotopy perturbation method (LHPM)). Here we consider the V-FIE with Cauchy kernel. Solved examples illustrate that the proposed strategy is powerful, effective and very simple.