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Caputo and related fractional derivatives in singular systems

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dc.contributor.author Dassios, Ioannis K.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-03-18T13:48:38Z
dc.date.available 2020-03-18T13:48:38Z
dc.date.issued 2018-11-15
dc.identifier.citation Dassios, Ioannis K.; Baleanu, Dumitru, I, "Caputo and related fractional derivatives in singular systems", Applied Mathematics and Computation, Vol. 337, pp. 591-606, (2018). tr_TR
dc.identifier.issn 0096-3003
dc.identifier.uri http://hdl.handle.net/20.500.12416/2678
dc.description.abstract By using the Caputo (C) fractional derivative and two recently defined alternative versions of this derivative, the Caputo-Fabrizio (CF) and the Atangana-Baleanu (AB) fractional derivative, firstly we focus on singular linear systems of fractional differential equations with constant coefficients that can be non-square matrices, or square & singular. We study existence of solutions and provide formulas for the case that there do exist solutions. Then, we study the existence of unique solution for given initial conditions. Several numerical examples are given to justify our theory. (C) 2018 Elsevier Inc. All rights reserved. tr_TR
dc.language.iso eng tr_TR
dc.publisher Elsevier Science INC tr_TR
dc.relation.isversionof 10.1016/j.amc.2018.05.005 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Singular tr_TR
dc.subject Systems tr_TR
dc.subject Fractional tr_TR
dc.subject Derivative tr_TR
dc.subject Caputo tr_TR
dc.subject Initial Conditions tr_TR
dc.title Caputo and related fractional derivatives in singular systems tr_TR
dc.type article tr_TR
dc.relation.journal Applied Mathematics and Computation tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 337 tr_TR
dc.identifier.startpage 591 tr_TR
dc.identifier.endpage 606 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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