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Title: | Analytic investigation of a reaction-Diffusion brusselator model with the time-space fractional derivative | Authors: | Aslan, İsmail | Keywords: | Brusselator model (G′/G)-expansion method Fractional calculus |
Publisher: | Walter de Gruyter GmbH | Source: | Aslan, İ. (2014). Analytic investigation of a reaction-Diffusion brusselator model with the time-space fractional derivative. International Journal of Nonlinear Sciences and Numerical Simulation, 15(2), 149-155. doi:10.1515/ijnsns-2013-0077 | Abstract: | It is well known that many models in nonlinear science are described by fractional differential equations in which an unknown function appears under the operation of a derivative of fractional order. In this study, we propose a reaction-diffusion Brusselator model from the viewpoint of the Jumarie's modified Riemann-Liouville fractional derivative. Based on the (G'/G)-expansion method, various kinds of exact solutions are obtained. Our results could be used as a starting point for numerical procedures as well. | URI: | http://doi.org/10.1515/ijnsns-2013-0077 http://hdl.handle.net/11147/6808 |
ISSN: | 1565-1339 2191-0294 |
Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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