{"id":"https://openalex.org/W3138318470","doi":"https://doi.org/10.1093/imamci/dnab006","title":"Approximate controllability of semilinear retarded stochastic differential system with non-instantaneous impulses: Fredholm theory approach","display_name":"Approximate controllability of semilinear retarded stochastic differential system with non-instantaneous impulses: Fredholm theory approach","publication_year":2021,"publication_date":"2021-03-12","ids":{"openalex":"https://openalex.org/W3138318470","doi":"https://doi.org/10.1093/imamci/dnab006","mag":"3138318470"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnab006","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnab006","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"},"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/A5013788779","display_name":"K. Anukiruthika","orcid":null},"institutions":[{"id":"https://openalex.org/I880551032","display_name":"Gandhigram Rural Institute","ror":"https://ror.org/01abtgj51","country_code":"IN","type":"education","lineage":["https://openalex.org/I880551032"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"K Anukiruthika","raw_affiliation_strings":["Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram - 624 302, Tamil Nadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram - 624 302, Tamil Nadu, India","institution_ids":["https://openalex.org/I880551032"]}]},{"author_position":"middle","author":{"id":null,"display_name":"N Durga","orcid":null},"institutions":[{"id":"https://openalex.org/I880551032","display_name":"Gandhigram Rural Institute","ror":"https://ror.org/01abtgj51","country_code":"IN","type":"education","lineage":["https://openalex.org/I880551032"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"N Durga","raw_affiliation_strings":["Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram - 624 302, Tamil Nadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram - 624 302, Tamil Nadu, India","institution_ids":["https://openalex.org/I880551032"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058574248","display_name":"P. Muthukumar","orcid":"https://orcid.org/0000-0003-1396-9948"},"institutions":[{"id":"https://openalex.org/I880551032","display_name":"Gandhigram Rural Institute","ror":"https://ror.org/01abtgj51","country_code":"IN","type":"education","lineage":["https://openalex.org/I880551032"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"P Muthukumar","raw_affiliation_strings":["Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram - 624 302, Tamil Nadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram - 624 302, Tamil Nadu, India","institution_ids":["https://openalex.org/I880551032"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058574248"],"corresponding_institution_ids":["https://openalex.org/I880551032"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":2.3112,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.87697867,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"38","issue":"2","first_page":"684","last_page":"713"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9991999864578247,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/controllability","display_name":"Controllability","score":0.9042990803718567},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7450066804885864},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.5816249847412109},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5771169662475586},{"id":"https://openalex.org/keywords/fredholm-integral-equation","display_name":"Fredholm integral equation","score":0.5202687978744507},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5158447623252869},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.483083039522171},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.469719797372818},{"id":"https://openalex.org/keywords/fredholm-theory","display_name":"Fredholm theory","score":0.4553838074207306},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.44925177097320557},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.411959171295166},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.32338470220565796},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12898588180541992}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9042990803718567},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7450066804885864},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.5816249847412109},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5771169662475586},{"id":"https://openalex.org/C89285879","wikidata":"https://www.wikidata.org/wiki/Q2991898","display_name":"Fredholm integral equation","level":3,"score":0.5202687978744507},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5158447623252869},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.483083039522171},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.469719797372818},{"id":"https://openalex.org/C518188847","wikidata":"https://www.wikidata.org/wiki/Q4455098","display_name":"Fredholm theory","level":4,"score":0.4553838074207306},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.44925177097320557},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.411959171295166},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.32338470220565796},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12898588180541992},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/imamci/dnab006","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnab006","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W995477476","https://openalex.org/W1483382787","https://openalex.org/W1499969990","https://openalex.org/W1510471904","https://openalex.org/W1527296550","https://openalex.org/W1531641569","https://openalex.org/W1533889494","https://openalex.org/W1555674425","https://openalex.org/W1968734986","https://openalex.org/W1975550003","https://openalex.org/W1976631336","https://openalex.org/W1989319665","https://openalex.org/W1990723703","https://openalex.org/W1997921835","https://openalex.org/W2005380085","https://openalex.org/W2006866795","https://openalex.org/W2011365344","https://openalex.org/W2015192593","https://openalex.org/W2031874991","https://openalex.org/W2042716851","https://openalex.org/W2050211619","https://openalex.org/W2063750298","https://openalex.org/W2336809256","https://openalex.org/W2412525535","https://openalex.org/W2762431423","https://openalex.org/W2765549186","https://openalex.org/W2798556646","https://openalex.org/W2884484995","https://openalex.org/W2912599830","https://openalex.org/W2924689817","https://openalex.org/W2993143640","https://openalex.org/W2995561306","https://openalex.org/W3020949139","https://openalex.org/W3030844628","https://openalex.org/W4291439952","https://openalex.org/W6631763736","https://openalex.org/W6651833623","https://openalex.org/W6776379377"],"related_works":["https://openalex.org/W2106295220","https://openalex.org/W2053792471","https://openalex.org/W2074164319","https://openalex.org/W2210254862","https://openalex.org/W1994639290","https://openalex.org/W2307207155","https://openalex.org/W2016286285","https://openalex.org/W2183760024","https://openalex.org/W2128435356","https://openalex.org/W2047304019"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"article":[2],"deals":[3],"with":[4,13],"the":[5,45,55,66,80],"approximate":[6,42],"controllability":[7,43],"of":[8,25,44,57],"semilinear":[9],"retarded":[10,71],"integrodifferential":[11],"equations":[12],"non-instantaneous":[14],"impulses":[15],"governed":[16],"by":[17,31,53],"Poisson":[18],"jumps":[19],"in":[20],"Hilbert":[21],"space.":[22],"The":[23,41],"existence":[24],"a":[26,36],"mild":[27],"solution":[28],"is":[29,51],"established":[30],"using":[32],"stochastic":[33,48,67,73],"calculus":[34],"and":[35,60,70],"suitable":[37],"fixed":[38],"point":[39],"technique.":[40],"proposed":[46],"non-linear":[47],"differential":[49],"system":[50],"obtained":[52],"employing":[54],"theory":[56],"interpolation":[58],"spaces":[59],"Fredholm":[61],"theory.":[62],"Finally,":[63],"applications":[64],"to":[65,78],"heat":[68],"equation":[69,75],"type":[72],"Benjamin\u2013Bona\u2013Mahony":[74],"are":[76],"provided":[77],"illustrate":[79],"developed":[81],"theoretical":[82],"results.":[83]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}