dc.contributor.author |
Tuan, Nguyen Huy
|
|
dc.contributor.author |
Huynh, Le Nhat
|
|
dc.contributor.author |
Baleanu, Dumitru
|
|
dc.contributor.author |
Can, Nguyen Huu
|
|
dc.date.accessioned |
2021-01-28T12:22:01Z |
|
dc.date.available |
2021-01-28T12:22:01Z |
|
dc.date.issued |
2020-04 |
|
dc.identifier.citation |
Tuan, Nguyen Huy...et al. (2020). "On a terminal value problem for a generalization of the fractional diffusion equation with hyper-Bessel operator", Mathematical Methods in the Applied Sciences, Vol. 43, No. 6, pp. 2858-2882. |
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dc.identifier.issn |
0170-4214 |
|
dc.identifier.issn |
1099-1476 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/4497 |
|
dc.description.abstract |
In this paper, we consider an inverse problem of recovering the initial value for a generalization of time-fractional diffusion equation, where the time derivative is replaced by a regularized hyper-Bessel operator. First, we investigate the existence and regularity of our terminal value problem. Then we show that the backward problem is ill-posed, and we propose a regularizing scheme using a fractional Tikhonov regularization method. We also present error estimates between the regularized solution and the exact solution using two parameter choice rules. |
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dc.language.iso |
eng |
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dc.relation.isversionof |
10.1002/mma.6087 |
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dc.rights |
info:eu-repo/semantics/closedAccess |
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dc.subject |
Fractional Tikhonov Regularization |
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dc.subject |
Hyper-Bessel Operator |
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dc.subject |
Time-Fractional Diffusion Equation |
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dc.title |
On a terminal value problem for a generalization of the fractional diffusion equation with hyper-Bessel operator |
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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 |
6 |
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dc.identifier.startpage |
2858 |
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dc.identifier.endpage |
2882 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü |
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