A Note On Fractional Schrödinger Differential And Difference Equations

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dc.contributor.authorAshyralyev, Allaberen
dc.contributor.authorTopçu, Betül
dc.date.accessioned2024-07-12T20:55:57Z
dc.date.available2024-07-12T20:55:57Z
dc.date.issued2009en_US
dc.departmentMaltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesien_US
dc.description.abstractThe initial value problem for the fractional differential equation ? ?? ?? i du dt + Au + Rt 0 ? (s) D1/2 s u (s) ds = f (t) , 0 < t < 1, u (0) = 0 (1) in a Hilbert space H with a self adjoint positive definite operator A is considered. The stability estimates for the solution of this problem and its first derivative under the condition |? (s)| < M1 s 1/2 are established. In practice, the mixed problems for one dimensional fractional Schr¨odinger differential equation with nonlocal boundary conditions in space variable and multidimensional fractional Schr¨odinger differential equation with Dirichlet condition in space variables are considered. The stability estimates for the solution and first order of derivative of the solution of these problems are obtained. The first order of accuracy difference scheme for the approximate solution of this initial value problem is presented. The stability estimate for the solution of this difference scheme and its first order of difference derivative are established. The application of this abstract result to the mixed problems considered above is presented. The stability estimates for the solution and first order of difference derivative of the solution of these difference schemes for these problems are obtained.en_US
dc.identifier.citationAshyralyev, A. ve Topçu, B. (2009). A Note On Fractional Schrödinger Differential And Difference Equations. Maltepe Üniversitesi. s. 92.en_US
dc.identifier.endpage93en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage92en_US
dc.identifier.urihttps://www.maltepe.edu.tr/Content/Media/CkEditor/03012019014112056-AbstractBookICMS2009Istanbul.pdf#page=76
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2917
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07641
dc.titleA Note On Fractional Schrödinger Differential And Difference Equationsen_US
dc.typeConference Object
dspace.entity.typePublication

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