{"id":"https://openalex.org/W7139040549","doi":"https://doi.org/10.3389/fninf.2026.1821637","title":"Correction: A Physics Informed Neural Network (PINN) framework for fractional order modeling of Alzheimer's disease","display_name":"Correction: A Physics Informed Neural Network (PINN) framework for fractional order modeling of Alzheimer's disease","publication_year":2026,"publication_date":"2026-03-19","ids":{"openalex":"https://openalex.org/W7139040549","doi":"https://doi.org/10.3389/fninf.2026.1821637","pmid":"https://pubmed.ncbi.nlm.nih.gov/41937809"},"language":"en","primary_location":{"id":"doi:10.3389/fninf.2026.1821637","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fninf.2026.1821637","pdf_url":"https://public-pages-files-2025.frontiersin.org/journals/neuroinformatics/articles/10.3389/fninf.2026.1821637/pdf","source":{"id":"https://openalex.org/S179816892","display_name":"Frontiers in Neuroinformatics","issn_l":"1662-5196","issn":["1662-5196"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Neuroinformatics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://public-pages-files-2025.frontiersin.org/journals/neuroinformatics/articles/10.3389/fninf.2026.1821637/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5104174263","display_name":"Adnan Mehmood","orcid":null},"institutions":[{"id":"https://openalex.org/I312958679","display_name":"National University of Science and Technology","ror":"https://ror.org/02kesvt12","country_code":"ZW","type":"education","lineage":["https://openalex.org/I312958679"]},{"id":"https://openalex.org/I929597975","display_name":"National University of Sciences and Technology","ror":"https://ror.org/03w2j5y17","country_code":"PK","type":"education","lineage":["https://openalex.org/I929597975"]}],"countries":["PK","ZW"],"is_corresponding":false,"raw_author_name":"Adnan Mehmood","raw_affiliation_strings":["CEME, National University of Sciences and Technology (NUST)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CEME, National University of Sciences and Technology (NUST)","institution_ids":["https://openalex.org/I312958679","https://openalex.org/I929597975"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5130067423","display_name":"Muhammad Farman","orcid":null},"institutions":[{"id":"https://openalex.org/I113330528","display_name":"Khazar University","ror":"https://ror.org/014te7048","country_code":"AZ","type":"education","lineage":["https://openalex.org/I113330528"]},{"id":"https://openalex.org/I4210131439","display_name":"Applied Mathematics (United States)","ror":"https://ror.org/03seew607","country_code":"US","type":"company","lineage":["https://openalex.org/I4210131439"]},{"id":"https://openalex.org/I530967","display_name":"Toronto Metropolitan University","ror":"https://ror.org/05g13zd79","country_code":"CA","type":"education","lineage":["https://openalex.org/I530967"]}],"countries":["AZ","CA","US"],"is_corresponding":false,"raw_author_name":"Muhammad Farman","raw_affiliation_strings":["Department of Mathematics","Research Center of Applied Mathematics, Khazar University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics","institution_ids":["https://openalex.org/I530967"]},{"raw_affiliation_string":"Research Center of Applied Mathematics, Khazar University","institution_ids":["https://openalex.org/I113330528","https://openalex.org/I4210131439"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011721005","display_name":"Farkhanda Afzal","orcid":"https://orcid.org/0000-0001-5396-7598"},"institutions":[{"id":"https://openalex.org/I312958679","display_name":"National University of Science and Technology","ror":"https://ror.org/02kesvt12","country_code":"ZW","type":"education","lineage":["https://openalex.org/I312958679"]}],"countries":["ZW"],"is_corresponding":false,"raw_author_name":"Farkhanda Afzal","raw_affiliation_strings":["Military College of Signals (MCS), National University of Sciences and Technology (NUST)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Military College of Signals (MCS), National University of Sciences and Technology (NUST)","institution_ids":["https://openalex.org/I312958679"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5130033421","display_name":"Kottakkaran Sooppy Nisar","orcid":null},"institutions":[{"id":"https://openalex.org/I530967","display_name":"Toronto Metropolitan University","ror":"https://ror.org/05g13zd79","country_code":"CA","type":"education","lineage":["https://openalex.org/I530967"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Kottakkaran Sooppy Nisar","raw_affiliation_strings":["Department of Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics","institution_ids":["https://openalex.org/I530967"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066659990","display_name":"Mohammed Altaf Ahmed","orcid":"https://orcid.org/0000-0003-0355-7835"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mohammed Altaf Ahmed","raw_affiliation_strings":["Department of Computer Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5130102036","display_name":"Mohamed Hafez","orcid":null},"institutions":[{"id":"https://openalex.org/I12649496","display_name":"INTI International University","ror":"https://ror.org/03fj82m46","country_code":"MY","type":"education","lineage":["https://openalex.org/I12649496"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Mohamed Hafez","raw_affiliation_strings":["Faculty of Engineering and Quantity Surviving, INTI International University Colleges","Faculty of Management"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering and Quantity Surviving, INTI International University Colleges","institution_ids":["https://openalex.org/I12649496"]},{"raw_affiliation_string":"Faculty of Management","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":6,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2950,"currency":"USD","value_usd":2950},"apc_paid":{"value":2950,"currency":"USD","value_usd":2950},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.41588692,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":null,"first_page":"1821637","last_page":"1821637"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.27079999446868896,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.27079999446868896,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.1941000074148178,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13748","display_name":"Advanced Statistical Modeling Techniques","score":0.0803999975323677,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mistake","display_name":"Mistake","score":0.8866000175476074},{"id":"https://openalex.org/keywords/disk-formatting","display_name":"Disk formatting","score":0.8022000193595886},{"id":"https://openalex.org/keywords/publication","display_name":"Publication","score":0.6956999897956848},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.61080002784729},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5522000193595886},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.3756999969482422}],"concepts":[{"id":"https://openalex.org/C2777179996","wikidata":"https://www.wikidata.org/wiki/Q911222","display_name":"Mistake","level":2,"score":0.8866000175476074},{"id":"https://openalex.org/C88006597","wikidata":"https://www.wikidata.org/wiki/Q690117","display_name":"Disk formatting","level":2,"score":0.8022000193595886},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7527999877929688},{"id":"https://openalex.org/C41458344","wikidata":"https://www.wikidata.org/wiki/Q732577","display_name":"Publication","level":2,"score":0.6956999897956848},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.61080002784729},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5522000193595886},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.4997999966144562},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.3756999969482422},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3725999891757965},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.33250001072883606},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.3005000054836273},{"id":"https://openalex.org/C151719136","wikidata":"https://www.wikidata.org/wiki/Q3972943","display_name":"Publishing","level":2,"score":0.2937000095844269},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.2727000117301941},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.2630000114440918},{"id":"https://openalex.org/C2993821838","wikidata":"https://www.wikidata.org/wiki/Q17327049","display_name":"Scientific article","level":3,"score":0.25839999318122864},{"id":"https://openalex.org/C2984423262","wikidata":"https://www.wikidata.org/wiki/Q17327049","display_name":"Scientific publishing","level":3,"score":0.257099986076355},{"id":"https://openalex.org/C2779500292","wikidata":"https://www.wikidata.org/wiki/Q14802672","display_name":"Text processing","level":2,"score":0.2554999887943268},{"id":"https://openalex.org/C2522767166","wikidata":"https://www.wikidata.org/wiki/Q2374463","display_name":"Data science","level":1,"score":0.25110000371932983}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3389/fninf.2026.1821637","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fninf.2026.1821637","pdf_url":"https://public-pages-files-2025.frontiersin.org/journals/neuroinformatics/articles/10.3389/fninf.2026.1821637/pdf","source":{"id":"https://openalex.org/S179816892","display_name":"Frontiers in Neuroinformatics","issn_l":"1662-5196","issn":["1662-5196"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Neuroinformatics","raw_type":"journal-article"},{"id":"pmid:41937809","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41937809","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in neuroinformatics","raw_type":null},{"id":"pmh:oai:doaj.org/article:8b4897234f934adc916bec743bd0ffa9","is_oa":true,"landing_page_url":"https://doaj.org/article/8b4897234f934adc916bec743bd0ffa9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Frontiers in Neuroinformatics, Vol 20 (2026)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:13044588","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC13044588/","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Front Neuroinform","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3389/fninf.2026.1821637","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fninf.2026.1821637","pdf_url":"https://public-pages-files-2025.frontiersin.org/journals/neuroinformatics/articles/10.3389/fninf.2026.1821637/pdf","source":{"id":"https://openalex.org/S179816892","display_name":"Frontiers in Neuroinformatics","issn_l":"1662-5196","issn":["1662-5196"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Neuroinformatics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311227","display_name":"Prince Sattam bin Abdulaziz University","ror":"https://ror.org/04jt46d36"},{"id":"https://openalex.org/F4320324282","display_name":"National University of Sciences and Technology","ror":"https://ror.org/03w2j5y17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7139040549.pdf","grobid_xml":"https://content.openalex.org/works/W7139040549.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"A":[0],"correction":[1],"refers":[2],"to":[3,6,13,24,94,108],"a":[4,125],"change":[5],"their":[7],"article":[8,21,150],"that":[9,57,115],"the":[10,32,38,44,52,58,65,69,81,86,97,102,110,119,128],"author":[11],"wishes":[12],"publish":[14],"after":[15],"publication.":[16],"The":[17,140],"publication":[18],"of":[19,148],"this":[20,100,144,149],"is":[22,62,138],"subject":[23],"Frontiers'":[25],"editorial":[26],"approval.\u2022":[27],"Please":[28,72],"read":[29],"through":[30],"all":[31,49],"templates":[33],"before":[34],"choosing":[35],"\u2022":[36,71,92],"Pick":[37],"most":[39],"relevant":[40],"text":[41,53,61,88,104,116],"template(s)":[42],"from":[43],"following":[45,96],"page":[46],"and":[47,83],"delete":[48],"others.\u2022":[50],"Edit":[51],"as":[54],"necessary,":[55],"ensuring":[56],"original":[59,103,146],"incorrect":[60,106,132],"included":[63],"for":[64,143],"record,":[66,112],"please":[67,113],"see":[68],"below.":[70],"do":[73],"not":[74],"use":[75],"any":[76],"extra":[77],"formatting":[78],"when":[79,117],"editing":[80,118],"templates,":[82],"only":[84],"modify":[85],"red":[87],"unless":[89],"absolutely":[90],"necessary":[91],"Submit":[93],"Frontiers":[95],"instructions":[98],"on":[99],"page.When":[101],"contained":[105],"information,":[107],"preserve":[109],"scientific":[111],"include":[114],"below":[120],"templates.":[121],"For":[122],"example:There":[123],"was":[124,134],"mistake":[126],"in":[127],"Funding":[129],"statement,":[130],"an":[131],"number":[133,137],"used.The":[135],"correct":[136],"\"2015C03Bd051.\".":[139],"publisher":[141],"apologizes":[142],"mistake.The":[145],"version":[147],"has":[151],"been":[152],"updated.":[153]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-03-20T00:00:00"}
