@Article{AAMM-8-2,
author = {Bekir, Ahmet and Ozkan, Guner and Burcu, Ayhan and Cevikel, C., Adem},
title = {Exact Solutions for Fractional Differential-Difference Equations by (G′/G)-Expansion Method with Modified Riemann-Liouville Derivative},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2016},
volume = {8},
number = {2},
pages = {293--305},
abstract = {<p style="text-align: justify;">In this paper, the ($G′/G$)-expansion method is suggested to establish new
exact solutions for fractional differential-difference equations in the sense of modified
Riemann–Liouville derivative. The fractional complex transform is proposed to convert
a fractional partial differential difference equation into its differential difference
equation of integer order. With the aid of symbolic computation, we choose nonlinear
lattice equations to illustrate the validity and advantages of the algorithm. It is shown
that the proposed algorithm is effective and can be used for many other nonlinear
lattice equations in mathematical physics and applied mathematics.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2014.m798},
url = {https://global-sci.com/article/73333/exact-solutions-for-fractional-differential-difference-equations-by-gg-expansion-method-with-modified-riemann-liouville-derivative}
}