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Regularization of the Inverse Problem for Time Fractional Pseudo-parabolic Equation with Non-local in Time Conditions

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dc.contributor.author Phuong, Nguyen Duc
dc.contributor.author Long, Le Dinh
dc.contributor.author Nguyen, Anh Tuan
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2024-05-14T08:07:53Z
dc.date.available 2024-05-14T08:07:53Z
dc.date.issued 2022-12
dc.identifier.citation Phuong, Nguyen Duc;...et.al. (2022). "Regularization of the Inverse Problem for Time Fractional Pseudo-parabolic Equation with Non-local in Time Conditions", Acta Mathematica Sinica, English Series, Vol.38, No.12, pp.2199-2219. tr_TR
dc.identifier.issn 14398516
dc.identifier.uri http://hdl.handle.net/20.500.12416/8320
dc.description.abstract This paper is devoted to identifying an unknown source for a time-fractional diffusion equation in a general bounded domain. First, we prove the problem is non-well posed and the stability of the source function. Second, by using the Modified Fractional Landweber method, we present regularization solutions and show the convergence rate between regularization solutions and sought solution are given under a priori and a posteriori choice rules of the regularization parameter, respectively. Finally, we present an illustrative numerical example to test the results of our theory. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1007/s10114-022-1234-z tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject 35K05 tr_TR
dc.subject 35K99 tr_TR
dc.subject 47H10 tr_TR
dc.subject 47J06 tr_TR
dc.subject Convergence Estimates tr_TR
dc.subject Fractional Pseudo-Parabolic Problem tr_TR
dc.subject Regularization tr_TR
dc.subject Source Problem tr_TR
dc.subject ill-Posed Problem tr_TR
dc.title Regularization of the Inverse Problem for Time Fractional Pseudo-parabolic Equation with Non-local in Time Conditions tr_TR
dc.type article tr_TR
dc.relation.journal Acta Mathematica Sinica, English Series tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 38 tr_TR
dc.identifier.issue 12 tr_TR
dc.identifier.startpage 2199 tr_TR
dc.identifier.endpage 2219 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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