{"id":"https://openalex.org/W7214076809","doi":"https://doi.org/10.48550/arxiv.2609.25321","title":"Weyl Pseudo Almost Periodic Type Solutions to Semilinear Stochastic Evolution Equations Driven by Fractional Brownian Motion","display_name":"Weyl Pseudo Almost Periodic Type Solutions to Semilinear Stochastic Evolution Equations Driven by Fractional Brownian Motion","publication_year":2026,"publication_date":"2026-09-21","ids":{"openalex":"https://openalex.org/W7214076809","doi":"https://doi.org/10.48550/arxiv.2609.25321"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.25321","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.25321","pdf_url":"https://arxiv.org/pdf/2609.25321","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.25321","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070501286","display_name":"Dimplekumar  Navinchandra Chalishajar","orcid":"https://orcid.org/0000-0002-6146-5544","observed_orcids":["https://orcid.org/0000-0002-6146-5544"]},"institutions":[{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Chalishajar, Dimplekumar N.","raw_affiliation_strings":["Faculty of Technical Sciences , University of Novi Sad , Trg D. Obradovi\u0107a 6 , 21125 Novi Sad , Serbia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Technical Sciences , University of Novi Sad , Trg D. Obradovi\u0107a 6 , 21125 Novi Sad , Serbia","institution_ids":["https://openalex.org/I170726198"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5126213896","display_name":"Marko Kostic","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kostic, Marko","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5032618487","display_name":"Daniel Velinov","orcid":"https://orcid.org/0000-0001-8811-4288","observed_orcids":["https://orcid.org/0000-0001-8811-4288"]},"institutions":[{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Velinov, Daniel","raw_affiliation_strings":["Faculty of Technical Sciences , University of Novi Sad , Trg D. Obradovi\u0107a 6 , 21125 Novi Sad , Serbia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Technical Sciences , University of Novi Sad , Trg D. Obradovi\u0107a 6 , 21125 Novi Sad , Serbia","institution_ids":["https://openalex.org/I170726198"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9984999895095825,"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":0.9984999895095825,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.0003000000142492354,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.0003000000142492354,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pseudo-almost-periodic-solutions","display_name":"pseudo almost periodic solutions","score":0.8709999918937683},{"id":"https://openalex.org/keywords/semilinear-stochastic-evolution-equations","display_name":"semilinear stochastic evolution equations","score":0.9819999933242798},{"id":"https://openalex.org/keywords/fractional-brownian-motion","display_name":"fractional Brownian motion","score":0.9570000171661377},{"id":"https://openalex.org/keywords/separable-hilbert-space","display_name":"separable Hilbert space","score":0.8790000081062317},{"id":"https://openalex.org/keywords/parabolic-stochastic-partial-differential-equations","display_name":"parabolic stochastic partial differential equations","score":0.8519999980926514}],"concepts":[{"id":"https://openalex.org/C108819105","wikidata":"https://www.wikidata.org/wiki/Q1143293","display_name":"Fractional Brownian motion","level":3,"score":0.7549999952316284},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.751800000667572},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5813000202178955},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.5730000138282776},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5564000010490417},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5425000190734863},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.47749999165534973},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.46230000257492065},{"id":"https://openalex.org/C96835011","wikidata":"https://www.wikidata.org/wiki/Q1638718","display_name":"Hurst exponent","level":2,"score":0.4505999982357025},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.4462999999523163},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.41760000586509705},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.40119999647140503},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.4000000059604645},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.39800000190734863},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.37229999899864197},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.33730000257492065},{"id":"https://openalex.org/C103692563","wikidata":"https://www.wikidata.org/wiki/Q5178900","display_name":"Covariance operator","level":3,"score":0.29989999532699585},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.29789999127388},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.29670000076293945},{"id":"https://openalex.org/C2988709989","wikidata":"https://www.wikidata.org/wiki/Q85784623","display_name":"Mean square","level":2,"score":0.29409998655319214},{"id":"https://openalex.org/C84629840","wikidata":"https://www.wikidata.org/wiki/Q16979017","display_name":"Stochastic partial differential equation","level":3,"score":0.28940001130104065},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.2867000102996826},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.2824999988079071},{"id":"https://openalex.org/C164602753","wikidata":"https://www.wikidata.org/wiki/Q567544","display_name":"Anomalous diffusion","level":3,"score":0.2802000045776367},{"id":"https://openalex.org/C137250428","wikidata":"https://www.wikidata.org/wiki/Q5178897","display_name":"Covariance function","level":3,"score":0.2696000039577484},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2540000081062317},{"id":"https://openalex.org/C2982905333","wikidata":"https://www.wikidata.org/wiki/Q1156744","display_name":"Evolution equation","level":2,"score":0.2517000138759613}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.25321","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.25321","pdf_url":"https://arxiv.org/pdf/2609.25321","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":"doi:10.48550/arxiv.2609.25321","doi":"https://doi.org/10.48550/arxiv.2609.25321","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.25321","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.25321","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.25321","pdf_url":"https://arxiv.org/pdf/2609.25321","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"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320330165","display_name":"Serbian Academy of Sciences and Arts","ror":"https://ror.org/05m1y4204"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214076809.pdf","grobid_xml":"https://content.openalex.org/works/W7214076809.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3202996405","https://openalex.org/W4399576858","https://openalex.org/W3011072644","https://openalex.org/W4388443271","https://openalex.org/W4287646649","https://openalex.org/W2187653147","https://openalex.org/W2913438248","https://openalex.org/W4391491960","https://openalex.org/W2122853444","https://openalex.org/W2902652333"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"analyze":[4],"square-mean":[5,11],"Weyl":[6,12],"almost":[7,15],"periodic":[8,16],"solutions":[9,17],"and":[10],"double-measure":[13],"pseudo":[14],"for":[18,46],"a":[19,48,61],"class":[20],"of":[21,43,68],"semilinear":[22],"evolution":[23],"equations":[24],"in":[25],"separable":[26],"Hilbert":[27],"spaces":[28],"driven":[29],"by":[30],"two-sided":[31],"fractional":[32],"Brownian":[33],"motion":[34],"with":[35],"Hurst":[36],"index":[37],"$H<1/2$.":[38],"Due":[39],"to":[40],"the":[41,52,66],"non-integrability":[42],"covariance":[44],"density":[45],"$H<1/2$,":[47],"H\u00f6lder-continuity":[49],"condition":[50],"on":[51],"diffusion":[53],"coefficient":[54],"is":[55],"required.":[56],"An":[57],"illustrative":[58],"example":[59],"involving":[60],"stochastic":[62],"parabolic":[63],"equation":[64],"demonstrates":[65],"applicability":[67],"obtained":[69],"results.":[70]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-09-24T00:00:00"}