Exact Solutions for Fractional Ddes Via Auxiliary Equation Method Coupled With the Fractional Complex Transform
| dc.contributor.author | Aslan, İsmail | |
| dc.coverage.doi | 10.1002/mma.3946 | |
| dc.date.accessioned | 2017-06-15T13:48:15Z | |
| dc.date.available | 2017-06-15T13:48:15Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | Dynamical behavior of many nonlinear systems can be described by fractional-order equations. This study is devoted to fractional differential–difference equations of rational type. Our focus is on the construction of exact solutions by means of the (G'/G)-expansion method coupled with the so-called fractional complex transform. The solution procedure is elucidated through two generalized time-fractional differential–difference equations of rational type. As a result, three types of discrete solutions emerged: hyperbolic, trigonometric, and rational. Copyright © 2016 John Wiley & Sons, Ltd. Copyright © 2016 John Wiley & Sons, Ltd. | en_US |
| dc.identifier.citation | Aslan, İ. (2016). Exact solutions for fractional DDEs via auxiliary equation method coupled with the fractional complex transform. Mathematical Methods in the Applied Sciences, 39(18), 5619-5625. doi:10.1002/mma.3946 | en_US |
| dc.identifier.doi | 10.1002/mma.3946 | en_US |
| dc.identifier.doi | 10.1002/mma.3946 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-84963804674 | |
| dc.identifier.uri | http://doi.org/10.1002/mma.3946 | |
| dc.identifier.uri | https://hdl.handle.net/11147/5782 | |
| dc.language.iso | en | en_US |
| dc.publisher | John Wiley and Sons Inc. | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | (G′/G)-expansion method | en_US |
| dc.subject | Difference equations | en_US |
| dc.subject | Differential equations | en_US |
| dc.subject | Fractional calculus | en_US |
| dc.subject | Local fractional derivative | en_US |
| dc.subject | Subclass 26A33 | en_US |
| dc.title | Exact Solutions for Fractional Ddes Via Auxiliary Equation Method Coupled With the Fractional Complex Transform | 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 | 5625 | en_US |
| gdc.description.issue | 18 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 5619 | en_US |
| gdc.description.volume | 39 | en_US |
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| gdc.oaire.keywords | Differential equations | |
| gdc.oaire.keywords | Difference equations | |
| gdc.oaire.keywords | (G′/G)-expansion method | |
| gdc.oaire.keywords | Local fractional derivative | |
| gdc.oaire.keywords | Fractional calculus | |
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