Regularization of the Inverse Problem for Time Fractional Pseudo-Parabolic Equation With Non-Local in Time Conditions
| dc.contributor.author | Le Dinh Long | |
| dc.contributor.author | Anh Tuan Nguyen | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Nguyen Duc Phuong | |
| dc.date.accessioned | 2024-05-14T08:07:53Z | |
| dc.date.accessioned | 2025-09-18T14:10:00Z | |
| dc.date.available | 2024-05-14T08:07:53Z | |
| dc.date.available | 2025-09-18T14:10:00Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | This paper is devoted to identifying an unknown source for a time-fractional diffusion equation in a general bounded domain. First, we prove the problem is non-well posed and the stability of the source function. Second, by using the Modified Fractional Landweber method, we present regularization solutions and show the convergence rate between regularization solutions and sought solution are given under a priori and a posteriori choice rules of the regularization parameter, respectively. Finally, we present an illustrative numerical example to test the results of our theory. | en_US |
| dc.description.sponsorship | Industrial University of Ho Chi Minh City (IUH) [130/HD-DHCN]; Van Lang University | en_US |
| dc.description.sponsorship | We thank the referees for their time and comments. This research is supported by Industrial University of Ho Chi Minh City (IUH) under Grant Number 130/HD-DHCN. The authors Le Dinh Long and Anh Tuan Nguyen are supported by Van Lang University. | en_US |
| dc.identifier.citation | Phuong, Nguyen Duc;...et.al. (2022). "Regularization of the Inverse Problem for Time Fractional Pseudo-parabolic Equation with Non-local in Time Conditions", Acta Mathematica Sinica, English Series, Vol.38, No.12, pp.2199-2219. | en_US |
| dc.identifier.doi | 10.1007/s10114-022-1234-z | |
| dc.identifier.issn | 1439-8516 | |
| dc.identifier.issn | 1439-7617 | |
| dc.identifier.scopus | 2-s2.0-85137204242 | |
| dc.identifier.uri | https://doi.org/10.1007/s10114-022-1234-z | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13554 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.ispartof | Acta Mathematica Sinica, English Series | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Source Problem | en_US |
| dc.subject | Fractional Pseudo-Parabolic Problem | en_US |
| dc.subject | Ill-Posed Problem | en_US |
| dc.subject | Convergence Estimates | en_US |
| dc.subject | Regularization | en_US |
| dc.title | Regularization of the Inverse Problem for Time Fractional Pseudo-Parabolic Equation With Non-Local in Time Conditions | en_US |
| dc.title | Regularization of the Inverse Problem for Time Fractional Pseudo-parabolic Equation with Non-local in Time Conditions | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Long, Le/Gsd-8876-2022 | |
| gdc.author.wosid | Nguyen, Tuan/C-6183-2015 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Nguyen Duc Phuong] Ind Univ Ho Chi Minh City, Fac Fundamental Sci, Ho Chi Minh City, Vietnam; [Le Dinh Long; Anh Tuan Nguyen] Van Lang Univ, Sci & Technol Adv Inst, Div Appl Math, Ho Chi Minh City, Vietnam; [Le Dinh Long; Anh Tuan Nguyen] Van Lang Univ, Fac Technol, Ho Chi Minh City, Vietnam; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Lebanese Amer Univ, Beirut, Lebanon; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 2219 | en_US |
| gdc.description.issue | 12 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 2199 | en_US |
| gdc.description.volume | 38 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | regularization | |
| gdc.oaire.keywords | Fixed-point theorems | |
| gdc.oaire.keywords | Initial-boundary value problems for second-order parabolic equations | |
| gdc.oaire.keywords | source problem | |
| gdc.oaire.keywords | Nonlinear ill-posed problems | |
| gdc.oaire.keywords | convergence estimates | |
| gdc.oaire.keywords | fractional pseudo-parabolic problem | |
| gdc.oaire.keywords | ill-posed problem | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | Ultraparabolic equations, pseudoparabolic equations, etc. | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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