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Advances in Numerical Analysis
Volume 2012 (2012), Article ID 912810, 10 pages
Approximation Solution of Fractional Partial Differential Equations by Neural Networks
Department of Mathematics, Faculty of Education, Thamar University, Thamar, Yemen
Received 1 October 2011; Accepted 21 November 2011
Academic Editor: Muhammed I. Syam
Copyright © 2012 Adel A. S. Almarashi. 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 [5 citations]
The following is the list of published articles that have cited the current article.
- Rabha W. Ibrahim, “The Fractional Differential Polynomial Neural Network for Approximation of Functions,” Entropy, vol. 15, no. 10, pp. 4188–4198, 2013.
- Bernard D. Goldstein, Bryan W. Brooks, Steven D. Cohen, Alexander E. Gates, Michael E. Honeycutt, John B. Morris, Jennifer Orme-Zavaleta, Trevor M. Penning, and John Snawder, “The Role of Toxicological Science in Meeting the Challenges and Opportunities of Hydraulic Fracturing,” Toxicological Sciences, vol. 139, no. 2, pp. 271–283, 2014.
- Gilberto Gonzalez-Parra, Abraham J. Arenas, and Benito M. Chen-Charpentier, “A fractional order epidemic model for the simulation of outbreaks of influenza A(H1N1),” Mathematical Methods in The Applied Sciences, vol. 37, no. 15, pp. 2218–2226, 2014.
- Gilberto González-Parra, Benito Chen-Charpentier, and Abraham J. Arenas, “Polynomial Chaos for random fractional order differential equations,” Applied Mathematics and Computation, vol. 226, pp. 123–130, 2014.
- Abraham J. Arenas, Gilberto González-Parra, and Benito M. Chen-Charpentier, “Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order,” Mathematics and Computers in Simulation, 2015.