{"id":"https://openalex.org/W3146575546","doi":"https://doi.org/10.1137/20m1324958","title":"Risk-Averse Control of Fractional Diffusion with Uncertain Exponent","display_name":"Risk-Averse Control of Fractional Diffusion with Uncertain Exponent","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3146575546","doi":"https://doi.org/10.1137/20m1324958","mag":"3146575546"},"language":"en","primary_location":{"id":"doi:10.1137/20m1324958","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1324958","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.osti.gov/biblio/1827610","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021343350","display_name":"Harbir Antil","orcid":"https://orcid.org/0000-0002-6641-1449"},"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"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Harbir Antil","raw_affiliation_strings":["George Mason Univ., Fairfax, VA (United States)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"George Mason Univ., Fairfax, VA (United States)","institution_ids":["https://openalex.org/I162714631"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054813354","display_name":"Drew Kouri","orcid":"https://orcid.org/0000-0002-7079-3195"},"institutions":[{"id":"https://openalex.org/I192454743","display_name":"Sandia National Laboratories California","ror":"https://ror.org/058m7ey48","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1330989302","https://openalex.org/I192454743","https://openalex.org/I198811213","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Drew P. Kouri","raw_affiliation_strings":["Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)"],"raw_orcid":"https://orcid.org/0000-0002-7079-3195","affiliations":[{"raw_affiliation_string":"Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)","institution_ids":["https://openalex.org/I192454743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013353521","display_name":"Johannes Pfefferer","orcid":null},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Johannes Pfefferer","raw_affiliation_strings":["Technical Univ. of Munich (Germany)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical Univ. of Munich (Germany)","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2611,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.71302651,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"59","issue":"2","first_page":"1161","last_page":"1187"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9916999936103821,"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/mathematics","display_name":"Mathematics","score":0.850267767906189},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.713752806186676},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6688743233680725},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6356722116470337},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5225365161895752},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.5052071213722229},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4739777445793152},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.46495044231414795},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.45922771096229553},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4260636568069458},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.41397613286972046},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30257320404052734},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0847216546535492}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.850267767906189},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.713752806186676},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6688743233680725},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6356722116470337},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5225365161895752},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.5052071213722229},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4739777445793152},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.46495044231414795},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.45922771096229553},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4260636568069458},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.41397613286972046},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30257320404052734},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0847216546535492},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/20m1324958","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1324958","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:osti.gov:1827610","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1827610","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null}],"best_oa_location":{"id":"pmh:oai:osti.gov:1827610","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1827610","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null},"sustainable_development_goals":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G2209453243","display_name":null,"funder_award_id":"DE-NA0003525","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G3125033874","display_name":null,"funder_award_id":"DMS-1818772","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3315381888","display_name":null,"funder_award_id":"DMS-1521590","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3474818490","display_name":null,"funder_award_id":"FA9550-19-1-0036","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G3823894852","display_name":null,"funder_award_id":"F4FGA09135G001","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G6242426428","display_name":null,"funder_award_id":"DMS-1913004","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6243425460","display_name":null,"funder_award_id":"SNL 01450709","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W134234169","https://openalex.org/W1558333494","https://openalex.org/W1973803192","https://openalex.org/W1976406849","https://openalex.org/W2003734192","https://openalex.org/W2007325456","https://openalex.org/W2011095781","https://openalex.org/W2013812365","https://openalex.org/W2019291268","https://openalex.org/W2022176369","https://openalex.org/W2034942773","https://openalex.org/W2039427414","https://openalex.org/W2046396733","https://openalex.org/W2054116999","https://openalex.org/W2059407032","https://openalex.org/W2065017332","https://openalex.org/W2069826626","https://openalex.org/W2080364619","https://openalex.org/W2085298086","https://openalex.org/W2111271983","https://openalex.org/W2114990297","https://openalex.org/W2136052812","https://openalex.org/W2158845426","https://openalex.org/W2172034033","https://openalex.org/W2564272570","https://openalex.org/W2624969825","https://openalex.org/W2746425213","https://openalex.org/W2794249501","https://openalex.org/W2806083605","https://openalex.org/W2886204178","https://openalex.org/W2913032486","https://openalex.org/W2962700060","https://openalex.org/W2962801519","https://openalex.org/W2963100253","https://openalex.org/W2963433821","https://openalex.org/W2963763304","https://openalex.org/W2963951614","https://openalex.org/W2964147738","https://openalex.org/W2964312569","https://openalex.org/W2964349502","https://openalex.org/W3103229763","https://openalex.org/W3105594617","https://openalex.org/W3122167364"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2799209613","https://openalex.org/W1971388572","https://openalex.org/W1507702947"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,51],"introduce":[4],"and":[5,43,60,89],"analyze":[6],"a":[7,34,53],"new":[8],"class":[9],"of":[10,41,73],"optimal":[11,77],"control":[12],"problems":[13],"constrained":[14],"by":[15],"elliptic":[16],"equations":[17],"with":[18,91],"uncertain":[19,58,87],"fractional":[20],"exponents.":[21],"We":[22,32,69],"utilize":[23],"risk":[24,78],"measures":[25],"to":[26,65],"formulate":[27],"the":[28,39,46,57,61,71,76,86],"resulting":[29],"optimization":[30],"problem.":[31],"develop":[33],"functional":[35],"analytic":[36],"framework,":[37],"study":[38],"existence":[40],"solution,":[42],"rigorously":[44],"derive":[45],"first-order":[47],"optimality":[48],"conditions.":[49],"Additionally,":[50],"employ":[52],"sample-based":[54],"approximation":[55,84],"for":[56,75,85],"exponent":[59,88],"finite":[62],"element":[63],"method":[64],"discretize":[66],"in":[67],"space.":[68],"prove":[70],"rate":[72],"convergence":[74],"neutral":[79],"controls":[80],"when":[81],"using":[82],"quadrature":[83],"conclude":[90],"illustrative":[92],"examples.":[93]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}