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Inverse source problem for the abstract fractional differential equation

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dc.contributor.authorPiskarev, S. I.
dc.contributor.authorKostin, A. B.
dc.contributor.authorКостин, Андрей Борисович
dc.date.accessioned2024-11-29T10:27:17Z
dc.date.available2024-11-29T10:27:17Z
dc.date.issued2021
dc.description.abstract© 2020 Walter de Gruyter GmbH, Berlin/Boston 2020.In a Banach space, the inverse source problem for a fractional differential equation with Caputo-Dzhrbashyan derivative is considered. The initial and observation conditions are given by elements from D ⁢ (A) D(A), and the operator function on the right side is sufficiently smooth. Two types of the observation operator are considered: integral and at the final point. Under the assumptions that operator A is a generator of positive and compact semigroup the uniqueness, existence and stability of the solution are proved.
dc.identifier.citationPiskarev, S. I. Inverse source problem for the abstract fractional differential equation / Piskarev, S.I., Kostin, A.B. // Journal of Inverse and Ill-Posed Problems. - 2021. - 10.1515/jiip-2020-0038
dc.identifier.doi10.1515/jiip-2020-0038
dc.identifier.urihttps://www.doi.org/10.1515/jiip-2020-0038
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85093534329&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000635601700008
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/23458
dc.relation.ispartofJournal of Inverse and Ill-Posed Problems
dc.titleInverse source problem for the abstract fractional differential equation
dc.typeArticle
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery3070740c-c832-420c-a070-a880195523bc
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