On some even-sequential fractional boundary-value problems

dc.contributor.authorUğurlu, Ekin
dc.contributor.authorID238990tr_TR
dc.contributor.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümütr_TR
dc.date.accessioned2024-06-13T12:29:21Z
dc.date.available2024-06-13T12:29:21Z
dc.date.issued2024-02
dc.description.abstractIn this paper we provide a way to handle some symmetric fractional boundary-value problems. Indeed, first, we consider some system of fractional equations. We introduce the existence and uniqueness of solutions of the systems of equations and we show that they are entire functions of the spectral parameter. In particular, we show that the solutions are at most of order 1/2. Moreover we share the integration by parts rule for vector-valued functions that enables us to obtain some symmetric equations. These symmetries allow us to handle 2 - sequential and 4 - sequential fractional boundary-value problems. We provide some expansion formulas for the bilinear forms of the solutions of 2 - sequential and 4 - sequential fractional equations which admit us to impose some unusual boundary conditions for the solutions of fractional differential equations. We show that the systems of eigenfunctions of 2 - sequential and 4 - sequential fractional boundary value problems are complete in both energy and mean. Furthermore, we study on the zeros of solutions of 2 - sequential fractional differential equations. At the end of the paper we show that 6 - sequential fractional differential equation can also be handled as a system of equations and hence almost all the results obtained in the paper can be carried for such boundary-value problems.tr_TR
dc.identifier.citationUğurlu, Ekin (2024). "On some even-sequential fractional boundary-value problems", Fractional Calculus and Applied Analysis, Vol. 27, No. 1, pp. 353-392.tr_TR
dc.identifier.endpage392tr_TR
dc.identifier.issn1311-0454
dc.identifier.issue1tr_TR
dc.identifier.startpage353tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12416/8497
dc.identifier.volume27tr_TR
dc.language.isoengtr_TR
dc.relation.isversionof10.1007/s13540-023-00232-6tr_TR
dc.relation.journalFractional Calculus and Applied Analysistr_TR
dc.rightsinfo:eu-repo/semantics/closedAccesstr_TR
dc.subjectDependence of Eigenvaluestr_TR
dc.subjectExistence and Uniqueness of Solutionstr_TR
dc.subjectFractional Calculus Operators (Primary)tr_TR
dc.titleOn some even-sequential fractional boundary-value problemstr_TR
dc.typearticletr_TR

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