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On two backward problems with Dzherbashian-Nersesian operator

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dc.contributor.author Ahmad, Anwar
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2024-01-17T13:33:58Z
dc.date.available 2024-01-17T13:33:58Z
dc.date.issued 2023
dc.identifier.citation Ahmad, Anwar; Baleanu, Dumitru. (2023). "On two backward problems with Dzherbashian-Nersesian operator", AIMS Mathematics, Vol8, no.1, pp.887-904. tr_TR
dc.identifier.issn 24736988
dc.identifier.uri http://hdl.handle.net/20.500.12416/6918
dc.description.abstract We investigate the initial-boundary value problems for a fourth-order differential equation within the powerful fractional Dzherbashian-Nersesian operator (FDNO). Boundary conditions considered in this manuscript are of the Samarskii-Ionkin type. The solutions obtained here are based on a series expansion using Riesz basis in a space corresponding to a non-self-adjoint spectral problem. Conditional to some regularity, consistency, alongside orthogonality dependence, the existence and uniqueness of the obtained solutions are exhibited by using Fourier method. Acquired results here are more general than those obtained by making use of conventional fractional operators such as fractional Riemann-Liouville derivative (FRLD), fractional Caputo derivative (FCD) and fractional Hilfer derivative (FHD). tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2023043 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Backward Problem tr_TR
dc.subject Dzherbashian-Nersesian Operator tr_TR
dc.subject Mittag-Leffler Function tr_TR
dc.subject Nonlocal Boundary Conditions tr_TR
dc.title On two backward problems with Dzherbashian-Nersesian operator tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 8 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 887 tr_TR
dc.identifier.endpage 904 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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