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Exact solutions for nonlinear partial fractional differential equations
Faculty
Science
Year:
2012
Type of Publication:
Article
Pages:
Authors:
Gepreel, Khaled A, Omran, Saleh
DOI:
10.1088/1674-1056/21/11/110204
Journal:
CHINESE PHYSICS B IOP PUBLISHING LTD
Volume:
21
Research Area:
Physics
ISSN
ISI:000310950400004
Keywords :
fractional calculus, complex transformation, modified Riemann-Liouville derivative, improved (G `/G)-expansion function method
Abstract:
In this article, we use the fractional complex transformation to convert nonlinear partial fractional differential equations to nonlinear ordinary differential equations. We use the improved (G `/G)-expansion function method to calculate the exact solutions to the time- and space-fractional derivative foam drainage equation and the time- and space-fractional derivative nonlinear KdV equation. This method is efficient and powerful for solving wide classes of nonlinear evolution fractional order equations.
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