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Inverse source problem for time fractional diffusion equation with Mittag-Leffler kernel

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dc.contributor.author Can, Nguyen Huu
dc.contributor.author Luc, Nguyen Hoang
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Zhou, Yong
dc.contributor.author Long, Le Dinh
dc.date.accessioned 2021-01-19T12:33:47Z
dc.date.available 2021-01-19T12:33:47Z
dc.date.issued 2020-04-13
dc.identifier.citation Can, Nguyen Huu...et al. (2020). "Inverse source problem for time fractional diffusion equation with Mittag-Leffler kernel", Advances in Difference Equations, Vol. 2020, No.1. tr_TR
dc.identifier.issn 1687-1847
dc.identifier.uri http://hdl.handle.net/20.500.12416/4471
dc.description.abstract In this work, we study the problem to identify an unknown source term for the Atangana-Baleanu fractional derivative. In general, the problem is severely ill-posed in the sense of Hadamard. We have applied the generalized Tikhonov method to regularize the instable solution of the problem. In the theoretical result, we show the error estimate between the regularized and exact solutions with a priori parameter choice rules. We present a numerical example to illustrate the theoretical result. According to this example, we show that the proposed regularization method is converged. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1186/s13662-020-02657-2 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Atangana-Baleanu Derivative tr_TR
dc.subject Ill-Posed Problem tr_TR
dc.subject Time Fractional Diffusion Equation tr_TR
dc.subject Convergence Estimates tr_TR
dc.subject Regularization Method tr_TR
dc.title Inverse source problem for time fractional diffusion equation with Mittag-Leffler kernel tr_TR
dc.type article tr_TR
dc.relation.journal Advances in Difference Equations tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 2020 tr_TR
dc.identifier.issue 1 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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