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Approximate solution to the time-space fractional cubic nonlinear Schrodinger equation
Faculty
Science
Year:
2012
Type of Publication:
Article
Pages:
5678-5685
Authors:
Herzallah, Mohamed A. E, Gepreel, Khaled A
DOI:
10.1016/j.apm.2012.01.012
Journal:
APPLIED MATHEMATICAL MODELLING ELSEVIER SCIENCE INC
Volume:
36
Research Area:
Engineering; Mathematics; Mechanics
ISSN
ISI:000309082400043
Keywords :
Adomian decomposition method, Fractional calculus, Cubic nonlinear fractional Schordinger equation
Abstract:
By introducing the fractional derivatives in the sense of Caputo, we use the adomian decomposition method to construct the approximate solutions for the cubic nonlinear fractional Schordinger equation with time and space fractional derivatives. The exact solution of the cubic nonlinear Schrodinger equation is given as a special case of our approximate solution. This method is efficient and powerful in solving wide classes of nonlinear evolution fractional order equation. (C) 2012 Elsevier Inc. All rights reserved.
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