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On some even-sequential fractional boundary-value problems

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dc.contributor.author Uğurlu, Ekin
dc.date.accessioned 2024-06-13T12:29:21Z
dc.date.available 2024-06-13T12:29:21Z
dc.date.issued 2024-02
dc.identifier.citation Uğurlu, 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.issn 1311-0454
dc.identifier.uri http://hdl.handle.net/20.500.12416/8497
dc.description.abstract In 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.language.iso eng tr_TR
dc.relation.isversionof 10.1007/s13540-023-00232-6 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Dependence of Eigenvalues tr_TR
dc.subject Existence and Uniqueness of Solutions tr_TR
dc.subject Fractional Calculus Operators (Primary) tr_TR
dc.title On some even-sequential fractional boundary-value problems tr_TR
dc.type article tr_TR
dc.relation.journal Fractional Calculus and Applied Analysis tr_TR
dc.contributor.authorID 238990 tr_TR
dc.identifier.volume 27 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 353 tr_TR
dc.identifier.endpage 392 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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