{"id":"https://openalex.org/W4385458884","doi":"https://doi.org/10.1007/s10700-023-09415-5","title":"Solution method and parameter estimation of uncertain partial differential equation with application to China\u2019s population","display_name":"Solution method and parameter estimation of uncertain partial differential equation with application to China\u2019s population","publication_year":2023,"publication_date":"2023-08-01","ids":{"openalex":"https://openalex.org/W4385458884","doi":"https://doi.org/10.1007/s10700-023-09415-5"},"language":"en","primary_location":{"id":"doi:10.1007/s10700-023-09415-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10700-023-09415-5","pdf_url":null,"source":{"id":"https://openalex.org/S93986401","display_name":"Fuzzy Optimization and Decision Making","issn_l":"1568-4539","issn":["1568-4539","1573-2908"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Optimization and Decision Making","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016078460","display_name":"Lu Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210100953","display_name":"Xi'an University of Finance and Economics","ror":"https://ror.org/01b9y2p27","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210100953"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lu Yang","raw_affiliation_strings":["Department of Statistics, Xi\u2019an University of Finance and Economics, Xi\u2019an, 710100, China","Department of Statistics, Xi'an University of Finance and Economics, Xi'an, 710100, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Xi\u2019an University of Finance and Economics, Xi\u2019an, 710100, China","institution_ids":["https://openalex.org/I4210100953"]},{"raw_affiliation_string":"Department of Statistics, Xi'an University of Finance and Economics, Xi'an, 710100, China","institution_ids":["https://openalex.org/I4210100953"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034753318","display_name":"Yang Liu","orcid":"https://orcid.org/0000-0003-0780-8267"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yang Liu","raw_affiliation_strings":["School of Economics and Management, Beihang University, Beijing, 100191, China"],"raw_orcid":"https://orcid.org/0000-0003-0780-8267","affiliations":[{"raw_affiliation_string":"School of Economics and Management, Beihang University, Beijing, 100191, China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034753318"],"corresponding_institution_ids":["https://openalex.org/I82880672"],"apc_list":{"value":2590,"currency":"EUR","value_usd":3390},"apc_paid":null,"fwci":19.5751,"has_fulltext":false,"cited_by_count":62,"citation_normalized_percentile":{"value":0.99616719,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"23","issue":"1","first_page":"155","last_page":"177"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9553999900817871,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12508","display_name":"Functional Equations Stability Results","score":0.9455000162124634,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5664870142936707},{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.5372580885887146},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5245673656463623},{"id":"https://openalex.org/keywords/first-order-partial-differential-equation","display_name":"First-order partial differential equation","score":0.4879126250743866},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4708670675754547},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4481835663318634},{"id":"https://openalex.org/keywords/china","display_name":"China","score":0.4185808598995209},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.36803120374679565},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31024420261383057},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.2241085171699524},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.08490720391273499},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.05685228109359741}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5664870142936707},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.5372580885887146},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5245673656463623},{"id":"https://openalex.org/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"score":0.4879126250743866},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4708670675754547},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4481835663318634},{"id":"https://openalex.org/C191935318","wikidata":"https://www.wikidata.org/wiki/Q148","display_name":"China","level":2,"score":0.4185808598995209},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.36803120374679565},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31024420261383057},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.2241085171699524},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.08490720391273499},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.05685228109359741},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10700-023-09415-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10700-023-09415-5","pdf_url":null,"source":{"id":"https://openalex.org/S93986401","display_name":"Fuzzy Optimization and Decision Making","issn_l":"1568-4539","issn":["1568-4539","1573-2908"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Optimization and Decision Making","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:fuzodm:v:23:y:2024:i:1:d:10.1007_s10700-023-09415-5","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10700-023-09415-5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4130858983","display_name":null,"funder_award_id":"No.2022JQ-042","funder_id":"https://openalex.org/F4320324173","funder_display_name":"Natural Science Foundation of Shaanxi Province"}],"funders":[{"id":"https://openalex.org/F4320324173","display_name":"Natural Science Foundation of Shaanxi Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W2018513764","https://openalex.org/W2152380123","https://openalex.org/W2164919501","https://openalex.org/W2523879549","https://openalex.org/W2852697398","https://openalex.org/W2898611589","https://openalex.org/W3085603931","https://openalex.org/W3086511271","https://openalex.org/W3088439536","https://openalex.org/W3089122089","https://openalex.org/W3207623001","https://openalex.org/W4206830167","https://openalex.org/W4210507064","https://openalex.org/W4220822722","https://openalex.org/W4225163277","https://openalex.org/W4281775731","https://openalex.org/W4293708200","https://openalex.org/W4306693045","https://openalex.org/W4313396145","https://openalex.org/W4327966584","https://openalex.org/W4386119809","https://openalex.org/W4387779022","https://openalex.org/W6678868654","https://openalex.org/W6682597882"],"related_works":["https://openalex.org/W2479314534","https://openalex.org/W2359206539","https://openalex.org/W2388355944","https://openalex.org/W2563073486","https://openalex.org/W2485938319","https://openalex.org/W2072438171","https://openalex.org/W1991459776","https://openalex.org/W3021320825","https://openalex.org/W4232257209","https://openalex.org/W4238318050"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":27},{"year":2024,"cited_by_count":25},{"year":2023,"cited_by_count":4}],"updated_date":"2026-05-23T08:51:43.019350","created_date":"2025-10-10T00:00:00"}