Improved ()-Expansion Method for the Space and Time Fractional Foam Drainage and KdV Equations
Author(s) -
Ali Akgül,
Adem Kılıçman,
Mustafa İnç
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/414353
Subject(s) - mathematics , korteweg–de vries equation , nonlinear system , partial differential equation , fractional calculus , mathematical analysis , transformation (genetics) , space (punctuation) , ordinary differential equation , differential equation , biochemistry , chemistry , physics , linguistics , philosophy , quantum mechanics , gene
The fractional complex transformation is used to transform nonlinearpartial differential equations to nonlinear ordinary differential equations. The improved ()-expansion method is suggested to solve the space and time fractionalfoam drainage and KdV equations. The obtained results show that thepresented method is effective and appropriate for solving nonlinear fractional differentialequations
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