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Elbeleze, A.A., Kilicman, A. and Taib, B.M. (2016) Approximate Solution of Integro-Differential Equation of Fractional (Arbitrary) Order. Journal of King Saud University-Science, 28, 61-68.

has been cited by the following article:

• TITLE: Numerical Solutions for Quadratic Integro-Differential Equations of Fractional Orders

  AUTHORS: Fatheah Alhendi, Wafa Shammakh, Hind Al-Badrani

  KEYWORDS: Fractional Quadratic Integro-Differential Equations, Variational Iteration Method, Homotopy Perturbation Method

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.7 No.4, April 30, 2017

  ABSTRACT: In this article, variational iteration method (VIM) and homotopy perturbation method (HPM) solve the nonlinear initial value problems of first-order fractional quadratic integro-differential equations (FQIDEs). We use the Caputo sense in this article to describe the fractional derivatives. The solutions of the problems are derived by infinite convergent series, and the results show that both methods are most convenient and effective.