The Fractional Landweber Method for Identifying Unknown Source for the Fractional Elliptic Equations

The article addresses the inverse problem of identifying an unknown source term in a fractional elliptic equation defined in a bounded domain. The approach to solving the problem under consideration, the Landweber fractional method is used. This method involves constructing a regularization algorith...

Full description

Saved in:
Bibliographic Details
Published inElectronic Journal of Applied Mathematics Vol. 2; no. 4; pp. 42 - 50
Main Authors Nguyen, Doan Vuong, NguyenHoang, Tuan, Tri, Vo Viet
Format Journal Article
LanguageEnglish
Published 17.12.2024
Online AccessGet full text
ISSN2980-2474
2980-2474
DOI10.61383/ejam.20242489

Cover

Abstract The article addresses the inverse problem of identifying an unknown source term in a fractional elliptic equation defined in a bounded domain. The approach to solving the problem under consideration, the Landweber fractional method is used. This method involves constructing a regularization algorithm. A posteriori and a priori lapses estimates are obtained, and final data with random data is regard.
AbstractList The article addresses the inverse problem of identifying an unknown source term in a fractional elliptic equation defined in a bounded domain. The approach to solving the problem under consideration, the Landweber fractional method is used. This method involves constructing a regularization algorithm. A posteriori and a priori lapses estimates are obtained, and final data with random data is regard.
Author Nguyen, Doan Vuong
Tri, Vo Viet
NguyenHoang, Tuan
Author_xml – sequence: 1
  givenname: Doan Vuong
  orcidid: 0000-0002-9438-6439
  surname: Nguyen
  fullname: Nguyen, Doan Vuong
– sequence: 2
  givenname: Tuan
  orcidid: 0000-0003-4354-2937
  surname: NguyenHoang
  fullname: NguyenHoang, Tuan
– sequence: 3
  givenname: Vo Viet
  orcidid: 0000-0002-8481-7469
  surname: Tri
  fullname: Tri, Vo Viet
BookMark eNpVkMtOAjEARRuDiYhsXfcHBqevabs0BJRkjAvH9aRPqQ4tdoYQ_l5ATXR1b-5NzuJcg1FM0QFwi8pZhYggd-5dbWa4xBRTIS_AGEtRFphyOvrTr8C074MuGWaMSsrGwDZrB5dZmSGkqDpYq2j3TrsMn9ywThb6lOHKujgEfwjxDb7Gj5j2Eb6kXTbufA__EYuuC9shGLj43KnT1t-AS6-63k1_cgKa5aKZPxb188Nqfl8XhktZOFoZWmrnK4QEEo5pJlDFDddMWVNVwlPsJaFMe8uUtpp7Ii0ngiN8nDyZgNk31uTU99n5dpvDRuVDi8r2bKk9WWp_LZEvatJe1Q
Cites_doi 10.1186/s13661-017-0898-2
10.1007/s13398-021-01095-3
10.1186/1029-242X-2014-434
10.53006/rna.962068
10.1007/978-3-031-34877-8_5
10.1016/j.camwa.2019.02.017
10.1080/17415977.2019.1580707
10.1142/S1793557121500698
10.1002/mma.7621
10.1186/s13662-021-03232-z
10.1007/s41478-023-00592-5
10.3390/sym13112084
10.32523/2306-6172-2023-11-1-98-123
10.1002/mma.4705
10.31197/atnaa.752335
10.3934/math.2024162
10.1016/j.spl.2016.09.026
10.1007/s10440-019-00248-2
10.1016/j.cam.2022.114204
ContentType Journal Article
DBID AAYXX
CITATION
DOI 10.61383/ejam.20242489
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList CrossRef
DeliveryMethod fulltext_linktorsrc
EISSN 2980-2474
EndPage 50
ExternalDocumentID 10_61383_ejam_20242489
GroupedDBID AAYXX
CITATION
M~E
ID FETCH-LOGICAL-c799-e46c40bef611818e5b58167c7b5adc668f42f9345bfd5abdb7f39d738712bfdf3
ISSN 2980-2474
IngestDate Thu Jul 03 08:32:31 EDT 2025
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed false
IsScholarly false
Issue 4
Language English
License https://creativecommons.org/licenses/by/4.0
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c799-e46c40bef611818e5b58167c7b5adc668f42f9345bfd5abdb7f39d738712bfdf3
ORCID 0000-0002-9438-6439
0000-0003-4354-2937
0000-0002-8481-7469
OpenAccessLink https://ejamjournal.com/index.php/ejam/article/download/ejam.20242489/ejam.20242489
PageCount 9
ParticipantIDs crossref_primary_10_61383_ejam_20242489
PublicationCentury 2000
PublicationDate 2024-12-17
PublicationDateYYYYMMDD 2024-12-17
PublicationDate_xml – month: 12
  year: 2024
  text: 2024-12-17
  day: 17
PublicationDecade 2020
PublicationTitle Electronic Journal of Applied Mathematics
PublicationYear 2024
References 4760
4750
4761
4751
4762
4749
4752
4763
4753
4743
4754
4744
4755
4745
4756
4746
4757
4747
4758
4748
4759
References_xml – ident: 4759
  doi: 10.1186/s13661-017-0898-2
– ident: 4746
  doi: 10.1007/s13398-021-01095-3
– ident: 4758
  doi: 10.1186/1029-242X-2014-434
– ident: 4760
  doi: 10.53006/rna.962068
– ident: 4744
– ident: 4747
  doi: 10.1007/978-3-031-34877-8_5
– ident: 4756
  doi: 10.1016/j.camwa.2019.02.017
– ident: 4762
  doi: 10.1080/17415977.2019.1580707
– ident: 4754
  doi: 10.1142/S1793557121500698
– ident: 4743
  doi: 10.1016/j.camwa.2019.02.017
– ident: 4751
  doi: 10.1002/mma.7621
– ident: 4745
  doi: 10.1186/s13662-021-03232-z
– ident: 4748
  doi: 10.1007/s41478-023-00592-5
– ident: 4752
  doi: 10.3390/sym13112084
– ident: 4753
  doi: 10.32523/2306-6172-2023-11-1-98-123
– ident: 4761
  doi: 10.1002/mma.4705
– ident: 4757
  doi: 10.31197/atnaa.752335
– ident: 4749
  doi: 10.3934/math.2024162
– ident: 4755
  doi: 10.1016/j.spl.2016.09.026
– ident: 4763
  doi: 10.1007/s10440-019-00248-2
– ident: 4750
  doi: 10.1016/j.cam.2022.114204
SSID ssib052554945
Score 1.8953906
Snippet The article addresses the inverse problem of identifying an unknown source term in a fractional elliptic equation defined in a bounded domain. The approach to...
SourceID crossref
SourceType Index Database
StartPage 42
Title The Fractional Landweber Method for Identifying Unknown Source for the Fractional Elliptic Equations
Volume 2
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV09T8MwELUKLCwIBIhveUBiQIHWsZN4RKioQipTqNgqO3YQDAmgZoCBX8CP5vwRN0UdgCWqnMZqe69359O9dwid8n6RQNYRR4IyHlEIIZHgIo10P1VlAQFqUBqC8_guGd3T2wf20Ot9dbqWmpm8KD6W8kr-Y1VYA7saluwfLBs2hQV4DfaFK1gYrr-28c2boybYgnSlwCtqo8xj5kLbFkLHxHVspvvKlNDgD20r9qHDsLOFaeF4MRquw9emU8trS_fzmTlLEtlxUIANefrdY_Pu_VoNjmTS1D5Qhnuj2hes82aO09zR3yf1-eTJE7R9YYJY-UPHw3T-i_CsHxHqhvBc6CVr3gGTDs5ox5k62S0flp087U-HD8lIZpQn9LMwsgKG6-ImEi0qa_-IeKEPEU5AdoepeX7aPr-C1ggcOsw8jPHnsPVODA5flNup1-FbOBVQu8XlwkfoZDmddCXfRBvePPjKgWYL9XS1jRQABs-tjQNgsAMMBkTgDmCwBwx2gLG3Z4tbtIDBATA7KL8Z5tejyI_ZiIqU80jTpKB9qcvEcJAzzSTLBklapJIJVSRJVlJS8pgyWSompJJpGXOVxnDSJrBUxrtotaorvYcwpINcDgQECqmN7h0X0kxbEIqQgeZM7aOz9leZvjgxlelyExz8-p2HaH0OviO0Ontr9DHkiTN5Ys33DQ_zbCE
linkProvider ISSN International Centre
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=The+Fractional+Landweber+Method+for+Identifying+Unknown+Source+for+the+Fractional+Elliptic+Equations&rft.jtitle=Electronic+Journal+of+Applied+Mathematics&rft.au=Nguyen%2C+Doan+Vuong&rft.au=NguyenHoang%2C+Tuan&rft.au=Tri%2C+Vo+Viet&rft.date=2024-12-17&rft.issn=2980-2474&rft.eissn=2980-2474&rft.volume=2&rft.issue=4&rft.spage=42&rft.epage=50&rft_id=info:doi/10.61383%2Fejam.20242489&rft.externalDBID=n%2Fa&rft.externalDocID=10_61383_ejam_20242489
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2980-2474&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2980-2474&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2980-2474&client=summon