{"id":"https://openalex.org/W3116035520","doi":"https://doi.org/10.1080/00207179.2020.1870049","title":"Existence, stability and controllability results of stochastic differential equations with non-instantaneous impulses","display_name":"Existence, stability and controllability results of stochastic differential equations with non-instantaneous impulses","publication_year":2020,"publication_date":"2020-12-30","ids":{"openalex":"https://openalex.org/W3116035520","doi":"https://doi.org/10.1080/00207179.2020.1870049","mag":"3116035520"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2020.1870049","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2020.1870049","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","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/A5080206518","display_name":"Rajesh Dhayal\u200e","orcid":"https://orcid.org/0000-0001-6946-8400"},"institutions":[{"id":"https://openalex.org/I9579091","display_name":"Indian Institute of Technology Mandi","ror":"https://ror.org/05r9r2f34","country_code":"IN","type":"education","lineage":["https://openalex.org/I9579091"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Rajesh Dhayal","raw_affiliation_strings":["School of Basic Sciences, Indian Institute of Technology Mandi, Kamand, India"],"raw_orcid":"https://orcid.org/0000-0001-6946-8400","affiliations":[{"raw_affiliation_string":"School of Basic Sciences, Indian Institute of Technology Mandi, Kamand, India","institution_ids":["https://openalex.org/I9579091"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036476218","display_name":"Muslim Malik","orcid":"https://orcid.org/0000-0003-0055-7581"},"institutions":[{"id":"https://openalex.org/I9579091","display_name":"Indian Institute of Technology Mandi","ror":"https://ror.org/05r9r2f34","country_code":"IN","type":"education","lineage":["https://openalex.org/I9579091"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Muslim Malik","raw_affiliation_strings":["School of Basic Sciences, Indian Institute of Technology Mandi, Kamand, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Basic Sciences, Indian Institute of Technology Mandi, Kamand, India","institution_ids":["https://openalex.org/I9579091"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067198101","display_name":"Syed Abbas","orcid":"https://orcid.org/0000-0001-5694-2011"},"institutions":[{"id":"https://openalex.org/I9579091","display_name":"Indian Institute of Technology Mandi","ror":"https://ror.org/05r9r2f34","country_code":"IN","type":"education","lineage":["https://openalex.org/I9579091"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Syed Abbas","raw_affiliation_strings":["School of Basic Sciences, Indian Institute of Technology Mandi, Kamand, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Basic Sciences, Indian Institute of Technology Mandi, Kamand, India","institution_ids":["https://openalex.org/I9579091"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080206518"],"corresponding_institution_ids":["https://openalex.org/I9579091"],"apc_list":null,"apc_paid":null,"fwci":4.3346,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.95423136,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"95","issue":"7","first_page":"1719","last_page":"1730"},"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":0.9994000196456909,"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":0.9977999925613403,"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/mathematics","display_name":"Mathematics","score":0.8325551748275757},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.7910346984863281},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7041245698928833},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.6571805477142334},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.563141942024231},{"id":"https://openalex.org/keywords/stochastic-partial-differential-equation","display_name":"Stochastic partial differential equation","score":0.5107674598693848},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5039371848106384},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4991328716278076},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4892725646495819},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.47732478380203247},{"id":"https://openalex.org/keywords/fractional-brownian-motion","display_name":"Fractional Brownian motion","score":0.44632503390312195},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.44508078694343567},{"id":"https://openalex.org/keywords/brownian-motion","display_name":"Brownian motion","score":0.4263383746147156},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4160043001174927},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4100549817085266},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.40666499733924866},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10171255469322205},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09534472227096558}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8325551748275757},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.7910346984863281},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7041245698928833},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.6571805477142334},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.563141942024231},{"id":"https://openalex.org/C84629840","wikidata":"https://www.wikidata.org/wiki/Q16979017","display_name":"Stochastic partial differential equation","level":3,"score":0.5107674598693848},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5039371848106384},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4991328716278076},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4892725646495819},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.47732478380203247},{"id":"https://openalex.org/C108819105","wikidata":"https://www.wikidata.org/wiki/Q1143293","display_name":"Fractional Brownian motion","level":3,"score":0.44632503390312195},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.44508078694343567},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.4263383746147156},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4160043001174927},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4100549817085266},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.40666499733924866},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10171255469322205},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09534472227096558},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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:10.1080/00207179.2020.1870049","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2020.1870049","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1259644765","https://openalex.org/W1527296550","https://openalex.org/W1542004730","https://openalex.org/W1588609682","https://openalex.org/W1957227943","https://openalex.org/W1976009629","https://openalex.org/W1978531014","https://openalex.org/W1988466183","https://openalex.org/W1995998075","https://openalex.org/W2003798477","https://openalex.org/W2013408634","https://openalex.org/W2015192593","https://openalex.org/W2033251714","https://openalex.org/W2034428494","https://openalex.org/W2041464468","https://openalex.org/W2055366483","https://openalex.org/W2071427842","https://openalex.org/W2121910633","https://openalex.org/W2192848214","https://openalex.org/W2215624078","https://openalex.org/W2485788125","https://openalex.org/W2548565008","https://openalex.org/W2555282586","https://openalex.org/W2626652548","https://openalex.org/W2735945455","https://openalex.org/W2766570499","https://openalex.org/W2782785509","https://openalex.org/W2950659120","https://openalex.org/W2999895954","https://openalex.org/W3048207332","https://openalex.org/W3049243781","https://openalex.org/W3101198881","https://openalex.org/W4232952874","https://openalex.org/W4234068421","https://openalex.org/W4238187298","https://openalex.org/W4293510232"],"related_works":["https://openalex.org/W3103887682","https://openalex.org/W620239920","https://openalex.org/W2386474467","https://openalex.org/W109055908","https://openalex.org/W1969623897","https://openalex.org/W2053215446","https://openalex.org/W4380993228","https://openalex.org/W1546584948","https://openalex.org/W2060658157","https://openalex.org/W2972896374"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,91],"devoted":[3],"to":[4,56,93],"the":[5,29,58,66,74,84,95],"study":[6],"of":[7,11,36,41,51,62,77,97],"a":[8,44,48],"new":[9,49],"class":[10],"non-instantaneous":[12],"impulsive":[13],"stochastic":[14,30,68,86],"differential":[15],"equations":[16],"driven":[17],"by":[18],"mixed":[19],"fractional":[20,39],"Brownian":[21],"motion":[22],"in":[23],"separable":[24],"Hilbert":[25],"spaces.":[26],"Based":[27],"on":[28],"analysis":[31],"theory,":[32],"analytic":[33],"semigroup":[34],"theory":[35],"linear":[37],"operators,":[38,42],"powers":[40],"and":[43,60,80],"fixed":[45],"point":[46],"technique,":[47],"set":[50],"sufficient":[52],"conditions":[53],"are":[54],"derived":[55],"ensure":[57],"existence":[59],"uniqueness":[61],"mild":[63,78],"solutions":[64,79],"for":[65,83],"proposed":[67,85],"system.":[69,87],"Moreover,":[70],"we":[71],"also":[72],"investigate":[73],"asymptotic":[75],"behaviour":[76],"controllability":[81],"results":[82],"Finally,":[88],"an":[89],"example":[90],"given":[92],"demonstrate":[94],"applicability":[96],"our":[98],"main":[99],"results.":[100]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
