{"id":"https://openalex.org/W4283323917","doi":"https://doi.org/10.1080/02331934.2024.2421384","title":"Bilinear optimal control for a fractional diffusive equation","display_name":"Bilinear optimal control for a fractional diffusive equation","publication_year":2024,"publication_date":"2024-10-29","ids":{"openalex":"https://openalex.org/W4283323917","doi":"https://doi.org/10.1080/02331934.2024.2421384"},"language":"en","primary_location":{"id":"doi:10.1080/02331934.2024.2421384","doi":"https://doi.org/10.1080/02331934.2024.2421384","is_oa":false,"landing_page_url":"https://doi.org/10.1080/02331934.2024.2421384","pdf_url":null,"source":{"id":"https://openalex.org/S158016561","display_name":"Optimization","issn_l":"0233-1934","issn":["0233-1934","1026-7662","1029-4945"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-c","anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://arxiv.org/pdf/2210.17494","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033168992","display_name":"Gis\u00e8le Massengo Mophou","orcid":"https://orcid.org/0000-0001-7949-8152","observed_orcids":["https://orcid.org/0000-0001-7949-8152","https://orcid.org/0000-0001-8359-2758"]},"institutions":[{"id":"https://openalex.org/I4405281018","display_name":"Laboratoire de Math\u00e9matiques Informatique et Applications","ror":"https://ror.org/03ra9d040","country_code":"GP","type":"facility","lineage":["https://openalex.org/I4405281018","https://openalex.org/I52585520"]},{"id":"https://openalex.org/I4405282482","display_name":"Laboratoire des Mat\u00e9riaux et Mol\u00e9cules en Milieu Agressif","ror":"https://ror.org/05x9ptf98","country_code":"MQ","type":"facility","lineage":["https://openalex.org/I4405282482","https://openalex.org/I52585520"]},{"id":"https://openalex.org/I52585520","display_name":"Universit\u00e9 des Antilles","ror":"https://ror.org/02ryfmr77","country_code":"GP","type":"education","lineage":["https://openalex.org/I52585520"]}],"countries":["GP","MQ"],"is_corresponding":true,"raw_author_name":"Gis\u00e8le Mophou","raw_affiliation_strings":["Universit\u00e9 Ouaga 3S","Universit\u00e9 des Antilles","Laboratoire de Math\u00e9matiques Informatique et Applications","Laboratoire des mat\u00e9riaux et mol\u00e9cules en milieu Agressif [EA 7526]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Ouaga 3S","institution_ids":[]},{"raw_affiliation_string":"Universit\u00e9 des Antilles","institution_ids":["https://openalex.org/I52585520"]},{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Informatique et Applications","institution_ids":["https://openalex.org/I4405281018"]},{"raw_affiliation_string":"Laboratoire des mat\u00e9riaux et mol\u00e9cules en milieu Agressif [EA 7526]","institution_ids":["https://openalex.org/I4405282482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036176821","display_name":"Cyrille Kenne","orcid":"https://orcid.org/0000-0002-8477-4331","observed_orcids":["https://orcid.org/0000-0002-8477-4331"]},"institutions":[{"id":"https://openalex.org/I4405281018","display_name":"Laboratoire de Math\u00e9matiques Informatique et Applications","ror":"https://ror.org/03ra9d040","country_code":"GP","type":"facility","lineage":["https://openalex.org/I4405281018","https://openalex.org/I52585520"]},{"id":"https://openalex.org/I52585520","display_name":"Universit\u00e9 des Antilles","ror":"https://ror.org/02ryfmr77","country_code":"GP","type":"education","lineage":["https://openalex.org/I52585520"]}],"countries":["GP"],"is_corresponding":false,"raw_author_name":"Cyrille Kenne","raw_affiliation_strings":["Universit\u00e9 des Antilles","Laboratoire de Math\u00e9matiques Informatique et Applications"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 des Antilles","institution_ids":["https://openalex.org/I52585520"]},{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Informatique et Applications","institution_ids":["https://openalex.org/I4405281018"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026604673","display_name":"Mahamadi Warma","orcid":"https://orcid.org/0000-0002-2342-9585","observed_orcids":["https://orcid.org/0000-0002-2342-9585"]},"institutions":[{"id":"https://openalex.org/I162714631","display_name":"George Mason University","ror":"https://ror.org/02jqj7156","country_code":"US","type":"education","lineage":["https://openalex.org/I162714631"]},{"id":"https://openalex.org/I4405282482","display_name":"Laboratoire des Mat\u00e9riaux et Mol\u00e9cules en Milieu Agressif","ror":"https://ror.org/05x9ptf98","country_code":"MQ","type":"facility","lineage":["https://openalex.org/I4405282482","https://openalex.org/I52585520"]}],"countries":["MQ","US"],"is_corresponding":false,"raw_author_name":"Mahamadi Warma","raw_affiliation_strings":["George Mason University","Laboratoire des mat\u00e9riaux et mol\u00e9cules en milieu Agressif [EA 7526]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"George Mason University","institution_ids":["https://openalex.org/I162714631"]},{"raw_affiliation_string":"Laboratoire des mat\u00e9riaux et mol\u00e9cules en milieu Agressif [EA 7526]","institution_ids":["https://openalex.org/I4405282482"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5033168992"],"corresponding_institution_ids":["https://openalex.org/I4405281018","https://openalex.org/I4405282482","https://openalex.org/I52585520"],"apc_list":null,"apc_paid":null,"fwci":0.9815,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.69596381,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"75","issue":"1","first_page":"267","last_page":"293"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.5073000192642212,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.5073000192642212,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.15610000491142273,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.13459999859333038,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bilinear-optimal-control","display_name":"bilinear optimal control","score":0.9919999837875366},{"id":"https://openalex.org/keywords/fractional-laplace-operator","display_name":"fractional Laplace operator","score":0.7799999713897705},{"id":"https://openalex.org/keywords/fractional-diffusion-equation","display_name":"fractional diffusion equation","score":0.7760000228881836},{"id":"https://openalex.org/keywords/evolution-equations","display_name":"evolution equations","score":0.7820000052452087},{"id":"https://openalex.org/keywords/existence-and-uniqueness-of-solutions","display_name":"existence and uniqueness of solutions","score":0.8650000095367432},{"id":"https://openalex.org/keywords/weak-maximum-principle","display_name":"weak maximum principle","score":0.9950000047683716},{"id":"https://openalex.org/keywords/first-order-optimality-conditions","display_name":"first-order optimality conditions","score":0.7979999780654907},{"id":"https://openalex.org/keywords/second-order-optimality-conditions","display_name":"second-order optimality conditions","score":0.9240000247955322},{"id":"https://openalex.org/keywords/final-state-control","display_name":"final-state control","score":0.43700000643730164}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8684172630310059},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7162833213806152},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.7158812284469604},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.5977853536605835},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5490744709968567},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5423295497894287},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.523657500743866},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49599990248680115},{"id":"https://openalex.org/C58754882","wikidata":"https://www.wikidata.org/wiki/Q1502887","display_name":"Geodetic datum","level":2,"score":0.468217134475708},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.46068504452705383},{"id":"https://openalex.org/C31010330","wikidata":"https://www.wikidata.org/wiki/Q1914255","display_name":"Maximum principle","level":3,"score":0.4321382939815521},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3627097010612488},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29251259565353394},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.06685858964920044},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1080/02331934.2024.2421384","doi":"https://doi.org/10.1080/02331934.2024.2421384","is_oa":false,"landing_page_url":"https://doi.org/10.1080/02331934.2024.2421384","pdf_url":null,"source":{"id":"https://openalex.org/S158016561","display_name":"Optimization","issn_l":"0233-1934","issn":["0233-1934","1026-7662","1029-4945"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-c","anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04781701v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-04781701","pdf_url":"http://arxiv.org/pdf/2210.17494","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Optimization, 2024, pp.1-27. ⟨10.1080/02331934.2024.2421384⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arXiv.org:2210.17494","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2210.17494","pdf_url":"https://arxiv.org/pdf/2210.17494","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:HAL:hal-03615512v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-03615512","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"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":"https://hal.archives-ouvertes.fr/hal-03615512","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:HAL:hal-03615512v2","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-03615512","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"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":"2022","raw_type":"info:eu-repo/semantics/preprint"},{"id":"doi:10.48550/arxiv.2210.17494","doi":"https://doi.org/10.48550/arxiv.2210.17494","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2210.17494","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04781701v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-04781701","pdf_url":"http://arxiv.org/pdf/2210.17494","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Optimization, 2024, pp.1-27. ⟨10.1080/02331934.2024.2421384⟩","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3236695045","display_name":null,"funder_award_id":"W911NF-20","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G6673636002","display_name":null,"funder_award_id":"W911NF-20-1-0115","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G7452299184","display_name":null,"funder_award_id":"W911NF","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"}],"funders":[{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4283323917.pdf","grobid_xml":"https://content.openalex.org/works/W4283323917.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W124162907","https://openalex.org/W1920971931","https://openalex.org/W1969853089","https://openalex.org/W1969936633","https://openalex.org/W1973574801","https://openalex.org/W1976034302","https://openalex.org/W2009698203","https://openalex.org/W2011095781","https://openalex.org/W2016832670","https://openalex.org/W2026432639","https://openalex.org/W2029619001","https://openalex.org/W2033992723","https://openalex.org/W2042153418","https://openalex.org/W2054116999","https://openalex.org/W2061118817","https://openalex.org/W2072045197","https://openalex.org/W2076894951","https://openalex.org/W2112867735","https://openalex.org/W2159391054","https://openalex.org/W2270276724","https://openalex.org/W2466542090","https://openalex.org/W2502163838","https://openalex.org/W2518463501","https://openalex.org/W2600455118","https://openalex.org/W2608369241","https://openalex.org/W2752034054","https://openalex.org/W2775698868","https://openalex.org/W2793696350","https://openalex.org/W2942536402","https://openalex.org/W2963020620","https://openalex.org/W2970922218","https://openalex.org/W3004829123","https://openalex.org/W3025524966","https://openalex.org/W3045836382","https://openalex.org/W3086159957","https://openalex.org/W3099709074","https://openalex.org/W3209938723","https://openalex.org/W4233361091","https://openalex.org/W4241355624","https://openalex.org/W4286850037","https://openalex.org/W4286850050","https://openalex.org/W4298228534"],"related_works":["https://openalex.org/W4414944513","https://openalex.org/W4248925993","https://openalex.org/W4403049591","https://openalex.org/W106494342","https://openalex.org/W3046324133","https://openalex.org/W4307930061","https://openalex.org/W4306410049","https://openalex.org/W2029619001","https://openalex.org/W2400764062","https://openalex.org/W4399607470"],"abstract_inverted_index":{"We":[0,18,72],"consider":[1,51],"a":[2,69,80],"bilinear":[3],"optimal":[4,53,76],"control":[5,54,77],"for":[6,26],"an":[7,52],"evolution":[8,29],"equation":[9],"involving":[10],"the":[11,27,60,63,85],"fractional":[12],"Laplace":[13],"operator":[14],"of":[15,45,62],"order":[16],"0