Publication: Inverse source problem for the abstract fractional differential equation
Дата
2021
Авторы
Journal Title
Journal ISSN
Volume Title
Издатель
Аннотация
© 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.
Описание
Ключевые слова
Цитирование
Piskarev, 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
URI
https://www.doi.org/10.1515/jiip-2020-0038
https://www.scopus.com/record/display.uri?eid=2-s2.0-85093534329&origin=resultslist
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000635601700008
https://openrepository.mephi.ru/handle/123456789/23458
https://www.scopus.com/record/display.uri?eid=2-s2.0-85093534329&origin=resultslist
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000635601700008
https://openrepository.mephi.ru/handle/123456789/23458