Analytic Investigation of a Reaction-Diffusion Brusselator Model With the Time-Space Fractional Derivative
| dc.contributor.author | Aslan, İsmail | |
| dc.coverage.doi | 10.1515/ijnsns-2013-0077 | |
| dc.date.accessioned | 2018-02-20T08:01:48Z | |
| dc.date.available | 2018-02-20T08:01:48Z | |
| dc.date.issued | 2014 | |
| dc.description.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. | en_US |
| dc.identifier.citation | 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 | en_US |
| dc.identifier.doi | 10.1515/ijnsns-2013-0077 | |
| dc.identifier.doi | 10.1515/ijnsns-2013-0077 | en_US |
| dc.identifier.issn | 1565-1339 | |
| dc.identifier.issn | 2191-0294 | |
| dc.identifier.scopus | 2-s2.0-84903649107 | |
| dc.identifier.uri | http://doi.org/10.1515/ijnsns-2013-0077 | |
| dc.identifier.uri | https://hdl.handle.net/11147/6808 | |
| dc.language.iso | en | en_US |
| dc.publisher | Walter de Gruyter GmbH | en_US |
| dc.relation.ispartof | International Journal of Nonlinear Sciences and Numerical Simulation | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Brusselator model | en_US |
| dc.subject | (G′/G)-expansion method | en_US |
| dc.subject | Fractional calculus | en_US |
| dc.title | Analytic Investigation of a Reaction-Diffusion Brusselator Model With the Time-Space Fractional Derivative | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Aslan, İsmail | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 155 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 149 | en_US |
| gdc.description.volume | 15 | en_US |
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| gdc.oaire.keywords | (G′/G)-expansion method | |
| gdc.oaire.keywords | Brusselator model | |
| gdc.oaire.keywords | Fractional calculus | |
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