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An Inverse Source Problem for Pseudo-Parabolic Equation With Caputo Derivative

dc.contributor.author Luc, Nguyen Hoang
dc.contributor.author Tatar, Salih
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Can, Nguyen Huu
dc.contributor.author Long, Le Dinh
dc.date.accessioned 2022-03-16T12:34:02Z
dc.date.accessioned 2025-09-18T12:05:21Z
dc.date.available 2022-03-16T12:34:02Z
dc.date.available 2025-09-18T12:05:21Z
dc.date.issued 2022
dc.description Tatar, Salih/0000-0003-4669-0169; Nguyen, Huu-Can/0000-0001-6198-1015 en_US
dc.description.abstract In this paper, we consider an inverse source problem for a fractional pseudo-parabolic equation. We show that the problem is severely ill-posed (in the sense of Hadamard) and the Tikhonov regularization method is proposed to solve the problem. In addition, we present numerical examples to illustrate applicability and accuracy of the proposed method to some extent. en_US
dc.identifier.citation Long, Le Dinh...et al. (2021). "An inverse source problem for pseudo-parabolic equation with Caputo derivative", Journal of Applied Mathematics and Computing. en_US
dc.identifier.doi 10.1007/s12190-021-01546-5
dc.identifier.issn 1598-5865
dc.identifier.issn 1865-2085
dc.identifier.scopus 2-s2.0-85104503053
dc.identifier.uri https://doi.org/10.1007/s12190-021-01546-5
dc.identifier.uri https://hdl.handle.net/20.500.12416/10574
dc.language.iso en en_US
dc.publisher Springer Heidelberg en_US
dc.relation.ispartof Journal of Applied Mathematics and Computing
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 An Inverse Source Problem for Pseudo-Parabolic Equation With Caputo Derivative en_US
dc.title An inverse source problem for pseudo-parabolic equation with Caputo derivative tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Tatar, Salih/0000-0003-4669-0169
gdc.author.id Nguyen, Huu-Can/0000-0001-6198-1015
gdc.author.scopusid 57072750200
gdc.author.scopusid 57207580205
gdc.author.scopusid 25928839100
gdc.author.scopusid 7005872966
gdc.author.scopusid 57216298181
gdc.author.wosid Tatar, Salih/Kyp-7314-2024
gdc.author.wosid Long, Le/Gsd-8876-2022
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Nguyen, Huu-Can/R-4820-2018
gdc.author.yokid 56389
gdc.bip.impulseclass C4
gdc.bip.influenceclass C5
gdc.bip.popularityclass C4
gdc.coar.access metadata only access
gdc.coar.type text::journal::journal article
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gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Long, Le Dinh; Luc, Nguyen Hoang] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Binh Duong Prov, Vietnam; [Tatar, Salih] Alfaisal Univ, Coll Sci & Gen Studies, Dept Math & Comp Sci, Riyadh, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Can, Nguyen Huu] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam en_US
gdc.description.endpage 765 en_US
gdc.description.issue 2 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q2
gdc.description.startpage 739 en_US
gdc.description.volume 68 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
gdc.identifier.openalex W3156831496
gdc.identifier.wos WOS:000639701300003
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gdc.index.type Scopus
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gdc.oaire.keywords Inverse problems for PDEs
gdc.oaire.keywords Fixed-point theorems
gdc.oaire.keywords Nonlinear ill-posed problems
gdc.oaire.keywords inverse source problem
gdc.oaire.keywords convergence estimates
gdc.oaire.keywords Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs
gdc.oaire.keywords fractional pseudo-parabolic problem
gdc.oaire.keywords ill-posed problem
gdc.oaire.keywords Tikhonov regularization method
gdc.oaire.keywords Ultraparabolic equations, pseudoparabolic equations, etc.
gdc.oaire.keywords Fractional partial differential equations
gdc.oaire.popularity 1.2137741E-8
gdc.oaire.publicfunded false
gdc.oaire.sciencefields 0101 mathematics
gdc.oaire.sciencefields 01 natural sciences
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gdc.opencitations.count 14
gdc.plumx.scopuscites 18
gdc.publishedmonth 4
gdc.scopus.citedcount 20
gdc.virtual.author Baleanu, Dumitru
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