dc.contributor.author |
Tuan, Nguyen Huy
|
|
dc.contributor.author |
Tuan, Nguyen Hoang
|
|
dc.contributor.author |
Baleanu, Dumitru
|
|
dc.contributor.author |
Thach, Tran Ngoc
|
|
dc.date.accessioned |
2021-02-16T12:43:32Z |
|
dc.date.available |
2021-02-16T12:43:32Z |
|
dc.date.issued |
2020-02 |
|
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. |
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dc.identifier.issn |
0170-4214 |
|
dc.identifier.issn |
1099-1476 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/4591 |
|
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. |
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dc.language.iso |
eng |
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dc.relation.isversionof |
10.1002/mma.5943 |
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dc.rights |
info:eu-repo/semantics/closedAccess |
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dc.subject |
Backward Problem |
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dc.subject |
Fractional Diffusion Equation |
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dc.subject |
Random Noise |
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dc.subject |
Regularized Solution |
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dc.title |
On a backward problem for fractional diffusion equation with Riemann-Liouville derivative |
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dc.type |
article |
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dc.relation.journal |
Mathematical Methods in the Applied Sciences |
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dc.contributor.authorID |
56389 |
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dc.identifier.volume |
43 |
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dc.identifier.issue |
3 |
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dc.identifier.startpage |
1292 |
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dc.identifier.endpage |
1312 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü |
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