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dc.contributor.authorOzbilge, E.
dc.contributor.authorDemir, A.
dc.contributor.authorKanca, F.
dc.contributor.authorÖzbilge, E.
dc.date.accessioned2023-10-19T15:05:21Z
dc.date.available2023-10-19T15:05:21Z
dc.date.issued2016
dc.identifier.issn1935-0090
dc.identifier.urihttps://doi.org/10.18576/amis/100129
dc.identifier.urihttps://hdl.handle.net/20.500.12469/4845
dc.description.abstractThis article deals with the mathematical analysis of the inverse problem of identifying the distinguishability of input-output mappings in the linear time fractional inhomogeneous parabolic equation Dt ? u(x, t)=(k(x)ux)x+r(t)F(x, t) 0 < ? ? 1, with Dirichlet boundary conditions u(0, t) = ?0(t), u(1, t) = ?1(t). By defining the input-output mappings ?[·]: K ?C1[0,T ] and ?[·]: K ? C1[0,T] the inverse problem is reduced to the problem of their invertibility. Hence, the main purpose of this study is to investigate the distinguishability of the input-output mappings ?[·] and ?[·]. Moreover, the measured output data f (t) and h(t) can be determined analytically by a series representation, which implies that the input-output mappings ? [·] :K ? C1[0,T] and ?[·] :K ? C1[0,T] can be described explicitly. © 2016 NSP Natural Sciences Publishing Cor.en_US
dc.language.isoengen_US
dc.publisherNatural Sciences Publishing USAen_US
dc.relation.ispartofApplied Mathematics and Information Sciencesen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDistinguishabilityen_US
dc.subjectFractional parabolic equationen_US
dc.subjectSource functionen_US
dc.titleDetermination of the unknown source function in time fractional parabolic equation with Dirichlet boundary conditionsen_US
dc.typearticleen_US
dc.identifier.startpage283en_US
dc.identifier.endpage289en_US
dc.identifier.issue1en_US
dc.identifier.volume10en_US
dc.departmentN/Aen_US
dc.identifier.doi10.18576/amis/100129en_US
dc.identifier.scopus2-s2.0-84959175835en_US
dc.institutionauthorN/A
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.authorscopusid15081438700
dc.authorscopusid56988688100
dc.authorscopusid37066259800
dc.authorscopusid57140492100
dc.khas20231019-Scopusen_US


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