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Approximate Controllability of Infinite-Dimensional Degenerate Fractional Order Systems in the Sectorial Case

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Fedorov, Vladimir E.
dc.contributor.author Gordievskikh, Dmitriy M.
dc.contributor.author Taş, Kenan
dc.date.accessioned 2019-12-26T12:20:56Z
dc.date.available 2019-12-26T12:20:56Z
dc.date.issued 2019-08
dc.identifier.citation Baleanu, Dumitru...et al. (2019). "Approximate Controllability of Infinite-Dimensional Degenerate Fractional Order Systems in the Sectorial Case", Mathematics, Vol. 7, No. 8. tr_TR
dc.identifier.uri http://hdl.handle.net/20.500.12416/2298
dc.description.abstract We consider a class of linear inhomogeneous equations in a Banach space not solvable with respect to the fractional Caputo derivative. Such equations are called degenerate. We study the case of the existence of a resolving operators family for the respective homogeneous equation, which is an analytic in a sector. The existence of a unique solution of the Cauchy problem and of the Showalter-Sidorov problem to the inhomogeneous degenerate equation is proved. We also derive the form of the solution. The approximate controllability of infinite-dimensional control systems, described by the equations of the considered class, is researched. An approximate controllability criterion for the degenerate fractional order control system is obtained. The criterion is illustrated by the application to a system, which is described by an initial-boundary value problem for a partial differential equation, not solvable with respect to the time-fractional derivative. As a corollary of general results, an approximate controllability criterion is obtained for the degenerate fractional order control system with a finite-dimensional input. tr_TR
dc.language.iso eng tr_TR
dc.publisher MDPI tr_TR
dc.relation.isversionof 10.3390/math7080735 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Approximate Controllability tr_TR
dc.subject Degenerate Evolution Equation tr_TR
dc.subject Fractional Caputo Derivative tr_TR
dc.subject Sectorial Operator tr_TR
dc.title Approximate Controllability of Infinite-Dimensional Degenerate Fractional Order Systems in the Sectorial Case tr_TR
dc.type article tr_TR
dc.relation.journal Mathematics tr_TR
dc.contributor.authorID 4971 tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 7 tr_TR
dc.identifier.issue 8 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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