dc.contributor.author Aslan, İsmail dc.date.accessioned 2017-06-15T13:48:15Z dc.date.available 2017-06-15T13:48:15Z dc.date.issued 2016-12 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.issn 0170-4214 dc.identifier.uri http://doi.org/10.1002/mma.3946 dc.identifier.uri http://hdl.handle.net/11147/5782 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.language.iso eng en_US dc.publisher Wiley en_US dc.relation.isversionof 10.1002/mma.3946 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 dc.contributor.authorID TR59752 en_US dc.contributor.iztechauthor Aslan, İsmail dc.relation.journal Mathematical Methods in the Applied Sciences en_US dc.contributor.department İYTE, Fen Fakültesi, Matematik Bölümü en_US dc.identifier.volume 39 en_US dc.identifier.issue 18 en_US dc.identifier.startpage 5619 en_US dc.identifier.endpage 5625 en_US dc.identifier.wos WOS:000388308500038 dc.identifier.scopus SCOPUS:2-s2.0-84963804674 dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
﻿