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Duality of singular linear systems of fractional nabla difference equations

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dc.contributor.author Dassios, Ioannis K.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2017-03-29T11:03:21Z
dc.date.available 2017-03-29T11:03:21Z
dc.date.issued 2015-07-15
dc.identifier.citation Dassios, I.K., Baleanu, D. (2015). Duality of singular linear systems of fractional nabla difference equations. Applied Mathematical Modelling, 39(14), 4180-4195. http://dx.doi.org/10.1016/j.apm.2014.12.039 tr_TR
dc.identifier.issn 0307-904X
dc.identifier.uri http://hdl.handle.net/20.500.12416/1512
dc.description.abstract The main objective of this article is to provide a link between the solutions of an initial value problem of a linear singular system of fractional nabla difference equations, its proper dual system and its transposed dual system. By taking into consideration the case that the coefficients are square constant matrices with the leading coefficient singular, we study the prime system and by using the invariants of its pencil we give necessary and sufficient conditions for existence and uniqueness of solutions. After we prove that by using the pencil of the prime system we can study the existence and uniqueness of solutions of the proper dual system and the transposed dual system. Moreover their solutions, when they exist, can be explicitly represented without resorting to further processes of computations for each one separately. Finally, numerical examples are given based on a singular fractional nabla real dynamical system to justify our theory. ( tr_TR
dc.language.iso eng tr_TR
dc.publisher Elsevier Science Inc. tr_TR
dc.relation.isversionof 10.1016/j.apm.2014.12.039 tr_TR
dc.rights info:eu-repo/semantics/closedAccess
dc.subject Fractional Nabla Operator tr_TR
dc.subject Initial Conditions tr_TR
dc.subject Singular Systems tr_TR
dc.subject Difference Equations tr_TR
dc.subject Linear Discrete Time System tr_TR
dc.subject Duality tr_TR
dc.title Duality of singular linear systems of fractional nabla difference equations tr_TR
dc.type article tr_TR
dc.relation.journal Applied Mathematical Modelling tr_TR
dc.identifier.volume 39 tr_TR
dc.identifier.issue 14 tr_TR
dc.identifier.startpage 4180 tr_TR
dc.identifier.endpage 4195 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


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