{"id":"https://openalex.org/W4401732896","doi":"https://doi.org/10.1145/3670085.3670099","title":"Approximate solution for stochastic Volterra integral equations with constant delay","display_name":"Approximate solution for stochastic Volterra integral equations with constant delay","publication_year":2024,"publication_date":"2024-05-10","ids":{"openalex":"https://openalex.org/W4401732896","doi":"https://doi.org/10.1145/3670085.3670099"},"language":"en","primary_location":{"id":"doi:10.1145/3670085.3670099","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3670085.3670099","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2024 9th International Conference on Mathematics and Artificial Intelligence","raw_type":"proceedings-article"},"type":"conference-paper","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/A5020757596","display_name":"Kutorzi Edwin Yao","orcid":"https://orcid.org/0000-0002-9728-2504"},"institutions":[{"id":"https://openalex.org/I59483232","display_name":"Shandong University of Finance and Economics","ror":"https://ror.org/02e2nnq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I59483232"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Edwin Yao Kutorzi","raw_affiliation_strings":["School of Mathematics and Institute for Financial Studies, Shandong University, China"],"raw_orcid":"https://orcid.org/0000-0002-9728-2504","affiliations":[{"raw_affiliation_string":"School of Mathematics and Institute for Financial Studies, Shandong University, China","institution_ids":["https://openalex.org/I59483232"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101122957","display_name":"Zhang Yuxue","orcid":null},"institutions":[{"id":"https://openalex.org/I59483232","display_name":"Shandong University of Finance and Economics","ror":"https://ror.org/02e2nnq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I59483232"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuxue Zhang","raw_affiliation_strings":["School of Mathematics and Institute for Financial Studies, Shandong University, China"],"raw_orcid":"https://orcid.org/0009-0006-6986-743X","affiliations":[{"raw_affiliation_string":"School of Mathematics and Institute for Financial Studies, Shandong University, China","institution_ids":["https://openalex.org/I59483232"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023565250","display_name":"Yufeng Shi","orcid":"https://orcid.org/0000-0001-8784-8239"},"institutions":[{"id":"https://openalex.org/I59483232","display_name":"Shandong University of Finance and Economics","ror":"https://ror.org/02e2nnq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I59483232"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yufeng Shi","raw_affiliation_strings":["School of Mathematics and Institute for Financial Studies, Shandong University, China"],"raw_orcid":"https://orcid.org/0000-0001-8784-8239","affiliations":[{"raw_affiliation_string":"School of Mathematics and Institute for Financial Studies, Shandong University, China","institution_ids":["https://openalex.org/I59483232"]}]},{"author_position":"last","author":{"id":null,"display_name":"Yuan Gao","orcid":"https://orcid.org/0009-0002-4999-0108"},"institutions":[{"id":"https://openalex.org/I4210088744","display_name":"Ya'an Polytechnic College","ror":"https://ror.org/00a43vs85","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210088744"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuan Gao","raw_affiliation_strings":["Vocational and Technical College, Hami Polytechnic, China"],"raw_orcid":"https://orcid.org/0009-0002-4999-0108","affiliations":[{"raw_affiliation_string":"Vocational and Technical College, Hami Polytechnic, China","institution_ids":["https://openalex.org/I4210088744"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22061329,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"53","last_page":"60"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9980000257492065,"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":0.9980000257492065,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9979000091552734,"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/T13234","display_name":"advanced mathematical theories","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/volterra-integral-equation","display_name":"Volterra integral equation","score":0.7660980224609375},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.748689591884613},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.6334419250488281},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5376272201538086},{"id":"https://openalex.org/keywords/volterra-equations","display_name":"Volterra equations","score":0.501744270324707},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41381555795669556},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3801700174808502},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.323802649974823},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24105000495910645},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.20454400777816772},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13919442892074585}],"concepts":[{"id":"https://openalex.org/C21965488","wikidata":"https://www.wikidata.org/wiki/Q2632613","display_name":"Volterra integral equation","level":3,"score":0.7660980224609375},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.748689591884613},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.6334419250488281},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5376272201538086},{"id":"https://openalex.org/C2983756050","wikidata":"https://www.wikidata.org/wiki/Q150052","display_name":"Volterra equations","level":3,"score":0.501744270324707},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41381555795669556},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3801700174808502},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.323802649974823},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24105000495910645},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.20454400777816772},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13919442892074585},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3670085.3670099","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3670085.3670099","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2024 9th International Conference on Mathematics and Artificial Intelligence","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W573549520","https://openalex.org/W601103634","https://openalex.org/W1998340996","https://openalex.org/W2008122902","https://openalex.org/W2010836875","https://openalex.org/W2021719174","https://openalex.org/W2029302017","https://openalex.org/W2034371946","https://openalex.org/W2090147677","https://openalex.org/W2904511372","https://openalex.org/W2931399074","https://openalex.org/W2948936768","https://openalex.org/W3010430296","https://openalex.org/W3025292751","https://openalex.org/W3040590284","https://openalex.org/W3044716300","https://openalex.org/W4293185733","https://openalex.org/W4386835794","https://openalex.org/W6609276657","https://openalex.org/W6650042702"],"related_works":["https://openalex.org/W4249149186","https://openalex.org/W2082102072","https://openalex.org/W2517687681","https://openalex.org/W2118560105","https://openalex.org/W2358959122","https://openalex.org/W4225984655","https://openalex.org/W2031624200","https://openalex.org/W2754932876","https://openalex.org/W1541040149","https://openalex.org/W1539637428"],"abstract_inverted_index":{"The":[0,22],"study":[1],"proposes":[2],"a":[3],"novel":[4],"approach":[5,40],"that":[6],"uses":[7],"block":[8],"pulse":[9],"functions":[10],"(BPFs)":[11],"with":[12],"constant":[13],"delays":[14],"to":[15],"approximate":[16],"stochastic":[17],"Volterra":[18],"integral":[19],"equations":[20],"(SVIEs).":[21],"method":[23],"simplifies":[24],"the":[25],"problem":[26],"by":[27],"converting":[28],"delay-containing":[29],"SVIEs":[30],"into":[31],"algebraic":[32],"ones":[33],"using":[34],"operational":[35],"matrices":[36],"of":[37],"BPFs.":[38],"This":[39],"is":[41],"easily":[42],"solvable":[43],"and":[44],"effective,":[45],"as":[46],"shown":[47],"through":[48],"numerical":[49],"examples.":[50]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
