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Analytical approximate solution for nonlinear space-time fractional Klein-Gordon equation
Faculty
Science
Year:
2013
Type of Publication:
Article
Pages:
Authors:
Gepreel, Khaled A, Mohamed, Mohamed S
DOI:
10.1088/1674-1056/22/1/010201
Journal:
CHINESE PHYSICS B IOP PUBLISHING LTD
Volume:
22
Research Area:
Physics
ISSN
ISI:000314815200001
Keywords :
homotopy analysis method, nonlinear space-time fractional Klein-Gordon equation, Caputo derivative
Abstract:
The fractional derivatives in the sense of Caputo and the homotopy analysis method are used to construct an approximate solution for the nonlinear space-time fractional derivatives Klein-Gordon equation. The numerical results show that the approaches are easy to implement and accurate when applied to the nonlinear space-time fractional derivatives Klein-Gordon equation. This method introduces a promising tool for solving many space-time fractional partial differential equations. This method is efficient and powerful in solving wide classes of nonlinear evolution fractional order equations.
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