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Mathematical Problems in Engineering, Aerospace and Sciences
June 25-27, 2008
University of Genoa, Italy
Genoa, Italy |
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General Organizer and Chair: Seenith Sivasundaram, USA; Local organizer and Chair: Marcello Sanguineti, Italy
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Exact solutions for some nonlinear fractional parabolic partial differential equations
by
Mahmoud Mohammed El-Borai
Professor of mathematics Faculty of science Alexandria University Alexandria Egypt
Exact solutions for some nonlinear fractional parabolic partial differential equations
Exact solutions for some nonlinear fractional parabolic partial differential equations
Mahmoud M. El-Borai
Alexandria University, Faculty of Science.
m_m_elborai@yahoo.com
Abstract
A method for solving some nonlinear fractional parabolic partial differential equations is considered. Using this method , exact solutions are obtained. By introducing suitable transformation , we obtain a system of fractional ordinary differential equations. This system will generate the exact solutions for the considered nonlinear fractional partial differential equations. The traveling wave solutions are obtained.The efficiency of the considered method can be demonstrated for a large variety of equations , which are more general than Burgers , Murrary and Fishers equations.
Keywords: Nonlinear fractional partial differential equations , exact solutions, traveling wave solutions.
AMS Subject Classifications: 26A33 , 35K30.
Date received: October 22, 2007
Copyright © 2007 by the author(s).
The author(s) of this document and the organizers of the conference
have granted their consent to include this abstract in
Atlas Conferences Inc.
Document # caub-13.