Premium
Bäcklund transformation of fractional Riccati equation and its applications to the space–time FDEs
Author(s) -
Arnous A. H.,
Mirzazadeh M.
Publication year - 2015
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3371
Subject(s) - mathematics , fractional calculus , riccati equation , transformation (genetics) , nonlinear system , mathematical analysis , space (punctuation) , duffing equation , differential equation , biochemistry , chemistry , physics , linguistics , quantum mechanics , gene , philosophy
In this paper, the Bäcklund transformation of fractional Riccati equation is presented to establish traveling wave solutions for two nonlinear space–time fractional differential equations in the sense of modified Riemann–Liouville derivatives, namely, the space–time fractional generalized reaction duffing equation and the space–time fractional diffusion reaction equation with cubic nonlinearity. The proposed method is effective and convenient for solving nonlinear evolution equations with fractional order. Copyright © 2014 John Wiley & Sons, Ltd.