{"id":"https://openalex.org/W2334615639","doi":"https://doi.org/10.1093/imamci/dnv005","title":"Approximate controllability of fractional stochastic integro-differential equations with infinite delay of order 1 < \u03b1 < 2","display_name":"Approximate controllability of fractional stochastic integro-differential equations with infinite delay of order 1 < \u03b1 < 2","publication_year":2015,"publication_date":"2015-02-13","ids":{"openalex":"https://openalex.org/W2334615639","doi":"https://doi.org/10.1093/imamci/dnv005","mag":"2334615639"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnv005","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnv005","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/A5008292005","display_name":"C. Rajivganthi","orcid":"https://orcid.org/0000-0002-9386-2173"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"C. Rajivganthi","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058574248","display_name":"P. Muthukumar","orcid":"https://orcid.org/0000-0003-1396-9948"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P. Muthukumar","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5102846150","display_name":"B. Ganesh Priya","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"B. Ganesh Priya","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008292005"],"corresponding_institution_ids":[],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":3.6747,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.92962928,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"33","issue":"3","first_page":"685","last_page":"699"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9998000264167786,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9987000226974487,"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/controllability","display_name":"Controllability","score":0.8874393701553345},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6382066011428833},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6112380623817444},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5959257483482361},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4841049909591675},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.42985400557518005},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4149671494960785}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.8874393701553345},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6382066011428833},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6112380623817444},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5959257483482361},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4841049909591675},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.42985400557518005},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4149671494960785},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/imamci/dnv005","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnv005","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"},{"id":"pmh:oai:open-archive.highwire.org:imamci:33/3/685","is_oa":false,"landing_page_url":"http://imamci.oxfordjournals.org/cgi/content/short/33/3/685","pdf_url":null,"source":{"id":"https://openalex.org/S4406923041","display_name":"HighWire Press Open Archive","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"TEXT"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320332167","display_name":"Directorate for Biological Sciences","ror":"https://ror.org/001xhss06"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1499969990","https://openalex.org/W1530054495","https://openalex.org/W1536762869","https://openalex.org/W1584611818","https://openalex.org/W1968734986","https://openalex.org/W1970311201","https://openalex.org/W1971270532","https://openalex.org/W1973645291","https://openalex.org/W1990723703","https://openalex.org/W1996564355","https://openalex.org/W1997921835","https://openalex.org/W2002530172","https://openalex.org/W2016824427","https://openalex.org/W2019772660","https://openalex.org/W2022369275","https://openalex.org/W2031631523","https://openalex.org/W2033251714","https://openalex.org/W2040738455","https://openalex.org/W2047277622","https://openalex.org/W2047319220","https://openalex.org/W2047895045","https://openalex.org/W2050211619","https://openalex.org/W2050240106","https://openalex.org/W2055366483","https://openalex.org/W2063522517","https://openalex.org/W2070519073","https://openalex.org/W2073585824","https://openalex.org/W2082769641","https://openalex.org/W2087211742","https://openalex.org/W2116207056","https://openalex.org/W2121642303","https://openalex.org/W2155129562","https://openalex.org/W2170316986","https://openalex.org/W2266051395","https://openalex.org/W4214559580","https://openalex.org/W4232499108","https://openalex.org/W4247340585","https://openalex.org/W4285719527","https://openalex.org/W6693123636","https://openalex.org/W7046898764"],"related_works":["https://openalex.org/W3110048291","https://openalex.org/W2798916479","https://openalex.org/W1976531026","https://openalex.org/W2054384926","https://openalex.org/W2118359714","https://openalex.org/W2562957045","https://openalex.org/W2621281703","https://openalex.org/W2527527656","https://openalex.org/W2329156183","https://openalex.org/W2012536155"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,49,87],"mainly":[3],"concerned":[4],"with":[5,14],"the":[6,39,43,58,69,73,91],"approximate":[7,26,74],"controllability":[8,27,75],"of":[9,17,28,76],"fractional":[10,29,46,77],"stochastic":[11,59,78],"integro-differential":[12],"equations":[13,80],"infinite":[15],"delay":[16],"order":[18],"<f>$1\\\\lt":[19],"\\\\alpha":[20],"\\\\lt":[21],"2$</f>.":[22],"Sufficient":[23],"conditions":[24],"for":[25],"control":[30,40,47],"system":[31,48],"are":[32,54],"proved":[33],"under":[34],"a":[35],"range":[36],"condition":[37],"on":[38],"operator":[41],"and":[42,62],"corresponding":[44],"linear":[45],"approximately":[50],"controllable.":[51],"The":[52],"results":[53],"obtained":[55],"by":[56,82],"using":[57],"analysis":[60],"techniques":[61],"fixed":[63],"point":[64],"theory.":[65,92],"Further,":[66],"we":[67],"extend":[68],"result":[70],"to":[71,89],"study":[72],"differential":[79],"driven":[81],"Poisson":[83],"jumps.":[84],"An":[85],"example":[86],"given":[88],"illustrate":[90]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}