{"id":"https://openalex.org/W4407166364","doi":"https://doi.org/10.1515/rose-2025-2003","title":"Riemann\u2013Liouville fractional stochastic evolution equations driven by mixed sub-fractional Brownian motion","display_name":"Riemann\u2013Liouville fractional stochastic evolution equations driven by mixed sub-fractional Brownian motion","publication_year":2025,"publication_date":"2025-02-05","ids":{"openalex":"https://openalex.org/W4407166364","doi":"https://doi.org/10.1515/rose-2025-2003"},"language":"en","primary_location":{"id":"doi:10.1515/rose-2025-2003","doi":"https://doi.org/10.1515/rose-2025-2003","is_oa":false,"landing_page_url":"https://doi.org/10.1515/rose-2025-2003","pdf_url":null,"source":{"id":"https://openalex.org/S131510807","display_name":"Random Operators and Stochastic Equations","issn_l":"0926-6364","issn":["0926-6364","1539-397X","1569-397X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Operators and Stochastic Equations","raw_type":"journal-article"},"volume":null,"type":"article","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/A5116158600","display_name":"Mokhtaria Boutlilis","orcid":"https://orcid.org/0009-0001-7935-9280","observed_orcids":["https://orcid.org/0009-0001-7935-9280"]},"institutions":[{"id":"https://openalex.org/I4210148060","display_name":"Universit\u00e9 de Saida Dr Moulay Tahar","ror":"https://ror.org/03mwqca46","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210148060"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Mokhtaria Boutlilis","raw_affiliation_strings":["Laboratory of Stochastic Models, Statistic and Applications , University of Saida \u2013 Dr. Moulay Tahar , P.\u2009O.Box 138 En-Nasr, 20000 Saida , Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Stochastic Models, Statistic and Applications , University of Saida \u2013 Dr. Moulay Tahar , P.\u2009O.Box 138 En-Nasr, 20000 Saida , Algeria","institution_ids":["https://openalex.org/I4210148060"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112634586","display_name":"Abdeldjebbar Kandouci","orcid":"https://orcid.org/0000-0001-7764-0514","observed_orcids":["https://orcid.org/0000-0001-7764-0514"]},"institutions":[{"id":"https://openalex.org/I4210148060","display_name":"Universit\u00e9 de Saida Dr Moulay Tahar","ror":"https://ror.org/03mwqca46","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210148060"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Abdeldjebbar Kandouci","raw_affiliation_strings":["Laboratory of Stochastic Models, Statistic and Applications , University of Saida \u2013 Dr. Moulay Tahar , P.\u2009O.Box 138 En-Nasr, 20000 Saida , Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Stochastic Models, Statistic and Applications , University of Saida \u2013 Dr. Moulay Tahar , P.\u2009O.Box 138 En-Nasr, 20000 Saida , Algeria","institution_ids":["https://openalex.org/I4210148060"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210148060"],"apc_list":{"value":2400,"currency":"EUR","value_usd":2712},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02512338,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"1","first_page":"87","last_page":"97"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9883000254631042,"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"}},"topics":[{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9883000254631042,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.008799999952316284,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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":0.0019000000320374966,"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/riemann-liouville-fractional-derivative","display_name":"Riemann-Liouville fractional derivative","score":0.9470000267028809},{"id":"https://openalex.org/keywords/stochastic-evolution-equations","display_name":"stochastic evolution equations","score":0.9470000267028809},{"id":"https://openalex.org/keywords/mild-solutions","display_name":"mild solutions","score":0.8740000128746033},{"id":"https://openalex.org/keywords/existence-of-solutions","display_name":"existence of solutions","score":0.9639999866485596},{"id":"https://openalex.org/keywords/fixed-point-theorems","display_name":"fixed point theorems","score":0.7210000157356262},{"id":"https://openalex.org/keywords/stochastic-fractional-differential-equations","display_name":"fractional stochastic differential equations","score":0.8970000147819519}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8059226274490356},{"id":"https://openalex.org/C108819105","wikidata":"https://www.wikidata.org/wiki/Q1143293","display_name":"Fractional Brownian motion","level":3,"score":0.7744313478469849},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.6214953660964966},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.545918881893158},{"id":"https://openalex.org/C101615488","wikidata":"https://www.wikidata.org/wiki/Q1503307","display_name":"Geometric Brownian motion","level":4,"score":0.44345003366470337},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.42460981011390686},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3592655658721924},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.28558850288391113},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09063065052032471},{"id":"https://openalex.org/C3017618536","wikidata":"https://www.wikidata.org/wiki/Q304994","display_name":"Innovation diffusion","level":2,"score":0.0},{"id":"https://openalex.org/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/rose-2025-2003","doi":"https://doi.org/10.1515/rose-2025-2003","is_oa":false,"landing_page_url":"https://doi.org/10.1515/rose-2025-2003","pdf_url":null,"source":{"id":"https://openalex.org/S131510807","display_name":"Random Operators and Stochastic Equations","issn_l":"0926-6364","issn":["0926-6364","1539-397X","1569-397X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Operators and Stochastic Equations","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W63803524","https://openalex.org/W433794350","https://openalex.org/W1259644765","https://openalex.org/W1473730842","https://openalex.org/W1966376992","https://openalex.org/W1976029405","https://openalex.org/W1992625045","https://openalex.org/W2001194427","https://openalex.org/W2010806909","https://openalex.org/W2025272915","https://openalex.org/W2047277622","https://openalex.org/W2048177212","https://openalex.org/W2061124364","https://openalex.org/W2074967990","https://openalex.org/W2079926583","https://openalex.org/W2113558271","https://openalex.org/W2152838163","https://openalex.org/W3094027600","https://openalex.org/W3101291937","https://openalex.org/W3164071673","https://openalex.org/W4211052487","https://openalex.org/W4220773456","https://openalex.org/W4237844826","https://openalex.org/W4285100466","https://openalex.org/W4320030018","https://openalex.org/W6600106573"],"related_works":["https://openalex.org/W3129602449","https://openalex.org/W2384879887","https://openalex.org/W2142979439","https://openalex.org/W2375736556","https://openalex.org/W3034439966","https://openalex.org/W2960646972","https://openalex.org/W2786290219","https://openalex.org/W2380610144","https://openalex.org/W2963836928","https://openalex.org/W4382939522"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"is":[3,36],"concerned":[4],"with":[5,21],"the":[6,30,40],"existence":[7],"of":[8],"mild":[9],"solutions":[10],"for":[11],"stochastic":[12],"differential":[13],"equations":[14],"driven":[15],"by":[16,29],"mixed":[17],"sub-fractional":[18],"Brownian":[19],"motion":[20],"Riemann\u2013Liouville":[22],"fractional":[23],"derivative.":[24],"The":[25],"results":[26],"are":[27],"obtained":[28,41],"fixed":[31],"point":[32],"theorem.":[33],"An":[34],"example":[35],"given":[37],"to":[38],"illustrate":[39],"results.":[42]},"counts_by_year":[],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}
