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

dc.contributor.authorCan, Nguyen Huu
dc.contributor.authorLuc, Nguyen Hoang
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorZhou, Yong
dc.contributor.authorLong, Le Dinh
dc.contributor.authorID56389tr_TR
dc.date.accessioned2021-01-19T12:33:47Z
dc.date.available2021-01-19T12:33:47Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn 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.en_US
dc.description.publishedMonth4
dc.identifier.citationCan, 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.en_US
dc.identifier.doi10.1186/s13662-020-02657-2
dc.identifier.issn1687-1847
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4471
dc.identifier.volume2020en_US
dc.language.isoenen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAtangana-Baleanu Derivativeen_US
dc.subjectIll-Posed Problemen_US
dc.subjectTime Fractional Diffusion Equationen_US
dc.subjectConvergence Estimatesen_US
dc.subjectRegularization Methoden_US
dc.titleInverse source problem for time fractional diffusion equation with Mittag-Leffler kerneltr_TR
dc.titleInverse Source Problem for Time Fractional Diffusion Equation With Mittag-Leffler Kernelen_US
dc.typeArticleen_US
dspace.entity.typePublication

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