On a backward problem for fractional diffusion equation with Riemann-Liouville derivative
dc.contributor.author | Tuan, Nguyen Huy | |
dc.contributor.author | Tuan, Nguyen Hoang | |
dc.contributor.author | Baleanu, Dumitru | |
dc.contributor.author | Thach, Tran Ngoc | |
dc.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2021-02-16T12:43:32Z | |
dc.date.available | 2021-02-16T12:43:32Z | |
dc.date.issued | 2020 | |
dc.department | Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | In the present paper, we study the initial inverse problem (backward problem) for a two-dimensional fractional differential equation with Riemann-Liouville derivative. Our model is considered in the random noise of the given data. We show that our problem is not well-posed in the sense of Hadamard. A truncated method is used to construct an approximate function for the solution (called the regularized solution). Furthermore, the error estimate of the regularized solution in L-2 and H-tau norms is considered and illustrated by numerical example. | en_US |
dc.description.publishedMonth | 2 | |
dc.identifier.citation | Tuan, Nguyen Huy...et al. (2019). "On a backward problem for fractional diffusion equation with Riemann-Liouville derivative", Mathematical Methods in the Applied Sciences, Vol. 43, No. 3, pp. 1292-1312. | en_US |
dc.identifier.doi | 10.1002/mma.5943 | |
dc.identifier.endpage | 1312 | en_US |
dc.identifier.issn | 0170-4214 | |
dc.identifier.issn | 1099-1476 | |
dc.identifier.issue | 3 | en_US |
dc.identifier.startpage | 1292 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/4591 | |
dc.identifier.volume | 43 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Mathematical Methods in the Applied Sciences | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Backward Problem | en_US |
dc.subject | Fractional Diffusion Equation | en_US |
dc.subject | Random Noise | en_US |
dc.subject | Regularized Solution | en_US |
dc.title | On a backward problem for fractional diffusion equation with Riemann-Liouville derivative | tr_TR |
dc.title | On a Backward Problem for Fractional Diffusion Equation With Riemann-Liouville Derivative | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |
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