{"id":"https://openalex.org/W4388905812","doi":"https://doi.org/10.3390/axioms12121068","title":"Infinite Horizon Irregular Quadratic BSDE and Applications to Quadratic PDE and Epidemic Models with Singular Coefficients","display_name":"Infinite Horizon Irregular Quadratic BSDE and Applications to Quadratic PDE and Epidemic Models with Singular Coefficients","publication_year":2023,"publication_date":"2023-11-21","ids":{"openalex":"https://openalex.org/W4388905812","doi":"https://doi.org/10.3390/axioms12121068"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12121068","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12121068","pdf_url":"https://www.mdpi.com/2075-1680/12/12/1068/pdf?version=1700623835","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/12/12/1068/pdf?version=1700623835","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085677503","display_name":"Mhamed Eddahbi","orcid":"https://orcid.org/0000-0003-0889-3387"},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Mhamed Eddahbi","raw_affiliation_strings":["Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0003-0889-3387","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074705391","display_name":"Omar Kebiri","orcid":"https://orcid.org/0000-0002-1420-2071"},"institutions":[{"id":"https://openalex.org/I51783024","display_name":"Brandenburg University of Technology Cottbus-Senftenberg","ror":"https://ror.org/02wxx3e24","country_code":"DE","type":"education","lineage":["https://openalex.org/I51783024"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Omar Kebiri","raw_affiliation_strings":["Department of Stochastics and Its Applications, Brandenburg University of Technology (BTU) Cottbus-Senftenberg, 03046 Cottbus, Germany"],"raw_orcid":"https://orcid.org/0000-0002-1420-2071","affiliations":[{"raw_affiliation_string":"Department of Stochastics and Its Applications, Brandenburg University of Technology (BTU) Cottbus-Senftenberg, 03046 Cottbus, Germany","institution_ids":["https://openalex.org/I51783024"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111483927","display_name":"Abou S\u00e8ne","orcid":null},"institutions":[{"id":"https://openalex.org/I112713213","display_name":"Universit\u00e9 Gaston Berger","ror":"https://ror.org/01jp0tk64","country_code":"SN","type":"education","lineage":["https://openalex.org/I112713213"]}],"countries":["SN"],"is_corresponding":false,"raw_author_name":"Abou Sene","raw_affiliation_strings":["Department of Mathematics, Gaston Berger University, Saint Louis B.P. 234, Senegal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Gaston Berger University, Saint Louis B.P. 234, Senegal","institution_ids":["https://openalex.org/I112713213"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5085677503"],"corresponding_institution_ids":["https://openalex.org/I28022161"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2896},"apc_paid":{"value":2400,"currency":"CHF","value_usd":2896},"fwci":0.2384,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.58368548,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"12","issue":"12","first_page":"1068","last_page":"1068"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9983000159263611,"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"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9983000159263611,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9950000047683716,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9358999729156494,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7390195727348328},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.631691038608551},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.6287295818328857},{"id":"https://openalex.org/keywords/square-integrable-function","display_name":"Square-integrable function","score":0.5694348812103271},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.5623466968536377},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5209552049636841},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.48207908868789673},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.45897191762924194},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4411921501159668},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4280484914779663},{"id":"https://openalex.org/keywords/quadratic-differential","display_name":"Quadratic differential","score":0.4234517514705658},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35259026288986206}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7390195727348328},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.631691038608551},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.6287295818328857},{"id":"https://openalex.org/C75413324","wikidata":"https://www.wikidata.org/wiki/Q1530791","display_name":"Square-integrable function","level":2,"score":0.5694348812103271},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.5623466968536377},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5209552049636841},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.48207908868789673},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.45897191762924194},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4411921501159668},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4280484914779663},{"id":"https://openalex.org/C2778433361","wikidata":"https://www.wikidata.org/wiki/Q7268358","display_name":"Quadratic differential","level":3,"score":0.4234517514705658},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35259026288986206},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms12121068","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12121068","pdf_url":"https://www.mdpi.com/2075-1680/12/12/1068/pdf?version=1700623835","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:1074ab2797bc42db87fde900386dd9e4","is_oa":true,"landing_page_url":"https://doaj.org/article/1074ab2797bc42db87fde900386dd9e4","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":"Axioms, Vol 12, Iss 12, p 1068 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/12/12/1068/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms12121068","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Axioms","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms12121068","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12121068","pdf_url":"https://www.mdpi.com/2075-1680/12/12/1068/pdf?version=1700623835","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8299999833106995,"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3"}],"awards":[{"id":"https://openalex.org/G527958871","display_name":null,"funder_award_id":"Researchers Supporting Project number (RSPD2023R1075)","funder_id":"https://openalex.org/F4320321145","funder_display_name":"King Saud University"}],"funders":[{"id":"https://openalex.org/F4320321145","display_name":"King Saud University","ror":"https://ror.org/02f81g417"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388905812.pdf","grobid_xml":"https://content.openalex.org/works/W4388905812.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W94839203","https://openalex.org/W1511896630","https://openalex.org/W1826160640","https://openalex.org/W1966384624","https://openalex.org/W1999613271","https://openalex.org/W2003793310","https://openalex.org/W2007459244","https://openalex.org/W2024097545","https://openalex.org/W2038518354","https://openalex.org/W2041316677","https://openalex.org/W2044833311","https://openalex.org/W2061866695","https://openalex.org/W2076846099","https://openalex.org/W2077652529","https://openalex.org/W2078895915","https://openalex.org/W2081585348","https://openalex.org/W2090929784","https://openalex.org/W2126831439","https://openalex.org/W2128802446","https://openalex.org/W2148301044","https://openalex.org/W2157883119","https://openalex.org/W2161007682","https://openalex.org/W2353758474","https://openalex.org/W2463258037","https://openalex.org/W2591655259","https://openalex.org/W2744048172","https://openalex.org/W2749408143","https://openalex.org/W2995343788","https://openalex.org/W3036604296","https://openalex.org/W3092545759","https://openalex.org/W3186539424","https://openalex.org/W4240437125","https://openalex.org/W6669806841","https://openalex.org/W6726423961","https://openalex.org/W6765085092"],"related_works":["https://openalex.org/W2044787408","https://openalex.org/W4249228129","https://openalex.org/W2086585817","https://openalex.org/W4394635378","https://openalex.org/W2019140719","https://openalex.org/W155593081","https://openalex.org/W3104927070","https://openalex.org/W1506619710","https://openalex.org/W2738038633","https://openalex.org/W2052607948"],"abstract_inverted_index":{"In":[0],"an":[1,95,101],"infinite":[2,102],"time":[3,103],"horizon,":[4],"we":[5,86],"focused":[6],"on":[7],"examining":[8],"the":[9,48,72],"well-posedness":[10],"of":[11,17,59,63],"problems":[12],"for":[13],"a":[14,42,60,88,107],"particular":[15,61],"category":[16],"Backward":[18],"Stochastic":[19],"Differential":[20,65],"Equations":[21,66],"having":[22],"quadratic":[23,69],"growth":[24,70],"(QBSDEs)":[25],"with":[26,47,106],"terminal":[27],"conditions":[28],"that":[29,36,78],"are":[30,37,79],"merely":[31],"square":[32],"integrable":[33,110],"and":[34,81,109],"generators":[35],"measurable.":[38],"Our":[39],"approach":[40],"employs":[41],"Zvonkin-type":[43],"transformation":[44],"in":[45,71],"conjunction":[46],"It\u00f4\u2013Krylov\u2019s":[49],"formula.":[50],"We":[51],"applied":[52],"our":[53],"findings":[54],"to":[55,94],"derive":[56],"probabilistic":[57],"representation":[58],"set":[62],"Partial":[64],"par":[67],"have":[68],"gradient":[73],"(QPDEs)":[74],"characterized":[75],"by":[76],"coefficients":[77],"measurable":[80,108],"almost":[82],"surely":[83],"continuous.":[84],"Additionally,":[85],"explored":[87],"stochastic":[89],"control":[90],"optimization":[91],"problem":[92],"related":[93],"epidemic":[96],"model,":[97],"interpreting":[98],"it":[99],"as":[100],"horizon":[104],"QBSDE":[105],"drifts.":[111]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}