Exact and numerical solution for fractional differential equation based on neural network. | [Proceedings of Pakistan Academy of Sciences • 2012]

Author(s):

1. Hamid A. Jalab: Faculty of Computer Science and Information Technology, University Malaya, 50603, Malaysia

2. Rabha W. Ibrahim: Institute of Mathematical Sciences, University Malaya, 50603, Malaysia

3. Shayma A. Murad: Department of Mathematics, Faculty of Science, Duhok University, Kurdistan, Iraq

4. Samir B. Hadid: Department of Mathematics and Basic Sciences, College of Education and Basic Sciences, Ajman University of Science and Technology, UAE

Abstract:

In this paper a fractional differential equations based on Riemann-Liouville fractional derivatives are solved exactly. The solution is obtained in terms of H-functions and it is finite for all times. Moreover, by using the neural network method, we have estimated the numerical solution for some special equations.

Page(s): 199-207

DOI: DOI not available

Published: Journal: Proceedings of Pakistan Academy of Sciences, Volume: 49, Issue: 3, Year: 2012

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