{"id":"https://openalex.org/W2975670941","doi":"https://doi.org/10.1007/s13235-019-00330-2","title":"Variational Time-Fractional Mean Field Games","display_name":"Variational Time-Fractional Mean Field Games","publication_year":2019,"publication_date":"2019-09-28","ids":{"openalex":"https://openalex.org/W2975670941","doi":"https://doi.org/10.1007/s13235-019-00330-2","mag":"2975670941"},"language":"en","primary_location":{"id":"doi:10.1007/s13235-019-00330-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13235-019-00330-2","pdf_url":null,"source":{"id":"https://openalex.org/S2502731256","display_name":"Dynamic Games and Applications","issn_l":"2153-0785","issn":["2153-0785","2153-0793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Dynamic Games and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11573/1401967","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101641786","display_name":"Qing Tang","orcid":"https://orcid.org/0009-0003-6152-9549"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qing Tang","raw_affiliation_strings":["China University of Geosciences (Wuhan), Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"China University of Geosciences (Wuhan), Wuhan, China","institution_ids":["https://openalex.org/I3124059619"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018541911","display_name":"Fabio Camilli","orcid":"https://orcid.org/0000-0003-2976-8112"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Fabio Camilli","raw_affiliation_strings":["Universit\u00e0 di Roma \u201cLa Sapienza\u201d, Roma, Italy","Universit\u00e0 di Roma \"La Sapienza\", Roma, Italy"],"raw_orcid":"https://orcid.org/0000-0003-2976-8112","affiliations":[{"raw_affiliation_string":"Universit\u00e0 di Roma \u201cLa Sapienza\u201d, Roma, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Universit\u00e0 di Roma \"La Sapienza\", Roma, Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101641786"],"corresponding_institution_ids":["https://openalex.org/I3124059619"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4527,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.61617715,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"10","issue":"2","first_page":"573","last_page":"588"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9987000226974487,"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":0.9987000226974487,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5722486972808838},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5447328090667725},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5301889777183533},{"id":"https://openalex.org/keywords/mean-field-theory","display_name":"Mean field theory","score":0.5192390084266663},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.48096027970314026},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4728532135486603},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4205654263496399},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.41651085019111633},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3566696047782898},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.34751808643341064},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.343967467546463},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.240027517080307},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1888677477836609},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.11472302675247192}],"concepts":[{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5722486972808838},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5447328090667725},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5301889777183533},{"id":"https://openalex.org/C202213908","wikidata":"https://www.wikidata.org/wiki/Q626011","display_name":"Mean field theory","level":2,"score":0.5192390084266663},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.48096027970314026},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4728532135486603},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4205654263496399},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.41651085019111633},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3566696047782898},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.34751808643341064},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.343967467546463},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.240027517080307},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1888677477836609},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.11472302675247192},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s13235-019-00330-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13235-019-00330-2","pdf_url":null,"source":{"id":"https://openalex.org/S2502731256","display_name":"Dynamic Games and Applications","issn_l":"2153-0785","issn":["2153-0785","2153-0793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Dynamic Games and Applications","raw_type":"journal-article"},{"id":"pmh:oai:iris.uniroma1.it:11573/1401967","is_oa":true,"landing_page_url":"http://hdl.handle.net/11573/1401967","pdf_url":"http://hdl.handle.net/11573/1401967","source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:RePEc:spr:dyngam:v:10:y:2020:i:2:d:10.1007_s13235-019-00330-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s13235-019-00330-2","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":{"id":"pmh:oai:iris.uniroma1.it:11573/1401967","is_oa":true,"landing_page_url":"http://hdl.handle.net/11573/1401967","pdf_url":"http://hdl.handle.net/11573/1401967","source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2975670941.pdf","grobid_xml":"https://content.openalex.org/works/W2975670941.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W228347125","https://openalex.org/W1530054495","https://openalex.org/W1720106019","https://openalex.org/W1808956822","https://openalex.org/W1970717682","https://openalex.org/W1983321045","https://openalex.org/W1985506636","https://openalex.org/W1995311722","https://openalex.org/W1997001104","https://openalex.org/W1998408104","https://openalex.org/W2001312616","https://openalex.org/W2009872262","https://openalex.org/W2038686546","https://openalex.org/W2039324033","https://openalex.org/W2045514685","https://openalex.org/W2055421059","https://openalex.org/W2057470999","https://openalex.org/W2058243333","https://openalex.org/W2062517214","https://openalex.org/W2080797270","https://openalex.org/W2091256898","https://openalex.org/W2111271983","https://openalex.org/W2130253079","https://openalex.org/W2563877936","https://openalex.org/W2593219856","https://openalex.org/W2606146984","https://openalex.org/W2606345302","https://openalex.org/W2610414461","https://openalex.org/W2617100196","https://openalex.org/W2791784110","https://openalex.org/W2794796542","https://openalex.org/W2801003568","https://openalex.org/W2889808956","https://openalex.org/W2943053028","https://openalex.org/W2949627290","https://openalex.org/W2962972336","https://openalex.org/W2963057197","https://openalex.org/W2963995492","https://openalex.org/W2971854359","https://openalex.org/W3011817336","https://openalex.org/W3101949413","https://openalex.org/W3125090012","https://openalex.org/W3125487688","https://openalex.org/W4206412600","https://openalex.org/W4230008158","https://openalex.org/W4285719527","https://openalex.org/W4388925118","https://openalex.org/W6634067634"],"related_works":["https://openalex.org/W2082446734","https://openalex.org/W4313560640","https://openalex.org/W2253351617","https://openalex.org/W2065284654","https://openalex.org/W3121927021","https://openalex.org/W3215562268","https://openalex.org/W2021368388","https://openalex.org/W2000813003","https://openalex.org/W1974525074","https://openalex.org/W2742971749"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}