Identifying the Initial Condition for Space-Fractional Sobolev Equation
| dc.contributor.author | Le Dinh Long | |
| dc.contributor.author | Le Thi Diem Hang | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Nguyen Huu Can | |
| dc.contributor.author | Nguyen Hoang Luc | |
| dc.contributor.author | Long, Le Dinh | |
| dc.contributor.author | Luc, Nguyen Hoang | |
| dc.contributor.author | Hang, Le Thi Diem | |
| dc.contributor.author | Can, Nguyen Huu | |
| dc.date.accessioned | 2022-05-23T11:28:43Z | |
| dc.date.accessioned | 2025-09-18T14:08:56Z | |
| dc.date.available | 2022-05-23T11:28:43Z | |
| dc.date.available | 2025-09-18T14:08:56Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | In this work, a final value problem for a fractional pseudo-parabolic equation is considered. Firstly, we present the regularity of solution. Secondly, we show that this problem is ill-posed in Hadamard's sense. After that we use the quasi-boundary value regularization method to solve this problem. To show that the proposed theoretical results are appropriate, we present an illustrative numerical example. | en_US |
| dc.identifier.citation | Luc, Nguyen Hoang...et al. (2021). "Identifying the initial condition for space-fractional sobolev equation", Journal of Applied Analysis and Computation, Vol. 11, No. 5, pp. 2402-2422. | en_US |
| dc.identifier.doi | 10.11948/20200404 | |
| dc.identifier.issn | 2156-907X | |
| dc.identifier.issn | 2158-5644 | |
| dc.identifier.scopus | 2-s2.0-85116859464 | |
| dc.identifier.uri | https://doi.org/10.11948/20200404 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13251 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wilmington Scientific Publisher, Llc | en_US |
| dc.relation.ispartof | Journal of Applied Analysis & Computation | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Final Value Problem | en_US |
| dc.subject | Fractional Pseudo-Parabolic Equation | en_US |
| dc.subject | Iii-Posed Problem | en_US |
| dc.subject | Convergence Estimates | en_US |
| dc.subject | Regularization | en_US |
| dc.subject | Ill-Posed Problem | |
| dc.title | Identifying the Initial Condition for Space-Fractional Sobolev Equation | en_US |
| dc.title | Identifying the initial condition for space-fractional sobolev equation | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Nguyen, Can/R-4820-2018 | |
| gdc.author.wosid | Long, Le/Gsd-8876-2022 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Nguyen Hoang Luc; Le Dinh Long] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot City, Binh Duong Prov, Vietnam; [Le Thi Diem Hang] Univ Sci, Dept Math & Comp Sci, Ho Chi Minh City, Vietnam; [Le Thi Diem Hang] Vietnam Natl Univ, Ho Chi Minh City, Vietnam; [Le Thi Diem Hang] Banking Univ Ho Chi Minh City, Dept Math Econ, Ho Chi Minh City, Vietnam; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Nguyen Huu Can] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam | en_US |
| gdc.description.endpage | 2422 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 2402 | en_US |
| gdc.description.volume | 11 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | regularization | |
| gdc.oaire.keywords | Inverse problems for PDEs | |
| gdc.oaire.keywords | Fixed-point theorems | |
| gdc.oaire.keywords | Heat equation | |
| gdc.oaire.keywords | Nonlinear ill-posed problems | |
| gdc.oaire.keywords | convergence estimates | |
| gdc.oaire.keywords | final value problem | |
| gdc.oaire.keywords | ill-posed problem | |
| gdc.oaire.keywords | Initial value problems for second-order parabolic equations | |
| gdc.oaire.keywords | fractional pseudo-parabolic equation | |
| gdc.oaire.keywords | Fractional partial differential equations | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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