Caputo and related fractional derivatives in singular systems

Dassios, Ioannis K.; Baleanu, Dumitru

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