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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 763139, 14 pages
Research Article

Application of Homotopy Perturbation and Variational Iteration Methods for Fredholm Integrodifferential Equation of Fractional Order

1Faculty of Science and Technology, Universiti Sains Islam Malaysia, 71800 Nilai, Malaysia
2Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia

Received 20 May 2012; Revised 4 September 2012; Accepted 4 September 2012

Academic Editor: Dumitru Bǎleanu

Copyright © 2012 Asma Ali Elbeleze et al. 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.

Citations to this Article [8 citations]

The following is the list of published articles that have cited the current article.

  • Hilmi Ergoren, and Adem Kilicman, “Non-local boundary value problems for impulsive fractional integro-differential equations in Banach spaces,” Boundary Value Problems, pp. 1–15, 2012. View at Publisher · View at Google Scholar
  • H. Zhang, F. Liu, Mantha S. Phanikumar, and Mark M. Meerschaert, “A novel numerical method for the time variable fractional order mobile–immobile advection–dispersion model,” Computers & Mathematics with Applications, 2013. View at Publisher · View at Google Scholar
  • Abdon Atangana, and Adem Kılıçman, “Analytical Solutions of Boundary Values Problem of 2D and 3D Poisson and Biharmonic Equations by Homotopy Decomposition Method,” Abstract and Applied Analysis, vol. 2013, pp. 1–9, 2013. View at Publisher · View at Google Scholar
  • Asma Ali Elbeleze, Adem Kiliçman, and Bachok M. Taib, “Homotopy Perturbation Method for Fractional Black-Scholes European Option Pricing Equations Using Sumudu Transform,” Mathematical Problems in Engineering, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • A. Kazemi Nasab, A. Kilicman, Z. Pashazadeh Atabakan, and S. Abbasbandy, “Chebyshev Wavelet Finite Difference Method: A New Approach for Solving Initial and Boundary Value Problems of Fractional Order,” Abstract and Applied Analysis, 2013. View at Publisher · View at Google Scholar
  • Asma A. Elbeleze, Adem Kılıçman, and Bachok M. Taib, “Approximate solution of integro-differential equation of fractional (arbitrary) order,” Journal of King Saud University - Science, 2015. View at Publisher · View at Google Scholar
  • Ahcene Merad, Abdelfatah Bouziani, Cenap Ozel, and Adem KiliÇMan, “On solvability of the integrodifferential hyperbolic equation with purely nonlocal conditions,” Acta Mathematica Scientia, vol. 35, no. 3, pp. 601–609, 2015. View at Publisher · View at Google Scholar
  • Fatheah Alhendi, Wafa Shammakh, and Hind Al-Badrani, “Numerical Solutions for Quadratic Integro-Differential Equations of Fractional Orders,” Open Journal of Applied Sciences, vol. 07, no. 04, pp. 157–170, 2017. View at Publisher · View at Google Scholar