{"id":"https://openalex.org/W2604117021","doi":"https://doi.org/10.3233/fi-2017-1482","title":"On Fractional Neutral Integro-differential Systems with State-dependent Delay in Banach Spaces","display_name":"On Fractional Neutral Integro-differential Systems with State-dependent Delay in Banach Spaces","publication_year":2017,"publication_date":"2017-03-11","ids":{"openalex":"https://openalex.org/W2604117021","doi":"https://doi.org/10.3233/fi-2017-1482","mag":"2604117021"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2017-1482","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2017-1482","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","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/A5008678864","display_name":"S. Kailasavalli","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119396","display_name":"Social Service Sericulture Project Trust","ror":"https://ror.org/02sb4r018","country_code":"IN","type":"nonprofit","lineage":["https://openalex.org/I4210119396"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"S. Kailasavalli","raw_affiliation_strings":["Department of Mathematics, PSNA College of Engineering and Technology, Dindigul-624622, Tamil Nadu, India. skvalli2k5@gmail.com"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, PSNA College of Engineering and Technology, Dindigul-624622, Tamil Nadu, India. skvalli2k5@gmail.com","institution_ids":["https://openalex.org/I4210119396"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109257022","display_name":"S. Suganya","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. Suganya","raw_affiliation_strings":["Department of Mathematics, C. B. M. College, Kovaipudur, Coimbatore - 641 042, Tamil Nadu, India. selvarajsuganya2014@yahoo.in, arjunphd07@yahoo.co.in"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, C. B. M. College, Kovaipudur, Coimbatore - 641 042, Tamil Nadu, India. selvarajsuganya2014@yahoo.in, arjunphd07@yahoo.co.in","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026400664","display_name":"M. Mallika Arjunan","orcid":"https://orcid.org/0000-0002-3358-0780"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Mallika Arjunan","raw_affiliation_strings":["Department of Mathematics, C. B. M. College, Kovaipudur, Coimbatore - 641 042, Tamil Nadu, India. selvarajsuganya2014@yahoo.in, arjunphd07@yahoo.co.in"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, C. B. M. College, Kovaipudur, Coimbatore - 641 042, Tamil Nadu, India. selvarajsuganya2014@yahoo.in, arjunphd07@yahoo.co.in","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008678864"],"corresponding_institution_ids":["https://openalex.org/I4210119396"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.06349127,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"151","issue":"1-4","first_page":"109","last_page":"133"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9979000091552734,"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/mathematics","display_name":"Mathematics","score":0.8003427982330322},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7533392310142517},{"id":"https://openalex.org/keywords/resolvent","display_name":"Resolvent","score":0.6738103032112122},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.6631821393966675},{"id":"https://openalex.org/keywords/contraction-principle","display_name":"Contraction principle","score":0.6273735165596008},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.547797679901123},{"id":"https://openalex.org/keywords/contraction-mapping","display_name":"Contraction mapping","score":0.5326665639877319},{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.5158745050430298},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5115095376968384},{"id":"https://openalex.org/keywords/c0-semigroup","display_name":"C0-semigroup","score":0.47748255729675293},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.43143048882484436},{"id":"https://openalex.org/keywords/resolvent-formalism","display_name":"Resolvent formalism","score":0.4244210720062256},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4150208830833435},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.41305238008499146},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3752513825893402},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.3058260679244995},{"id":"https://openalex.org/keywords/finite-rank-operator","display_name":"Finite-rank operator","score":0.23795253038406372}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8003427982330322},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7533392310142517},{"id":"https://openalex.org/C196267783","wikidata":"https://www.wikidata.org/wiki/Q4392490","display_name":"Resolvent","level":2,"score":0.6738103032112122},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6631821393966675},{"id":"https://openalex.org/C2775958659","wikidata":"https://www.wikidata.org/wiki/Q5165690","display_name":"Contraction principle","level":3,"score":0.6273735165596008},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.547797679901123},{"id":"https://openalex.org/C55524764","wikidata":"https://www.wikidata.org/wiki/Q515173","display_name":"Contraction mapping","level":3,"score":0.5326665639877319},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.5158745050430298},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5115095376968384},{"id":"https://openalex.org/C19496378","wikidata":"https://www.wikidata.org/wiki/Q846542","display_name":"C0-semigroup","level":3,"score":0.47748255729675293},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.43143048882484436},{"id":"https://openalex.org/C81571819","wikidata":"https://www.wikidata.org/wiki/Q1426722","display_name":"Resolvent formalism","level":4,"score":0.4244210720062256},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4150208830833435},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.41305238008499146},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3752513825893402},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.3058260679244995},{"id":"https://openalex.org/C99392333","wikidata":"https://www.wikidata.org/wiki/Q5450385","display_name":"Finite-rank operator","level":3,"score":0.23795253038406372},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/fi-2017-1482","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2017-1482","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","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":31,"referenced_works":["https://openalex.org/W192232987","https://openalex.org/W582115588","https://openalex.org/W1489846922","https://openalex.org/W1527296550","https://openalex.org/W1536762869","https://openalex.org/W1850511188","https://openalex.org/W1970311201","https://openalex.org/W1973645291","https://openalex.org/W1979288073","https://openalex.org/W1987168297","https://openalex.org/W1989603609","https://openalex.org/W1996564355","https://openalex.org/W2004944909","https://openalex.org/W2007807478","https://openalex.org/W2022369275","https://openalex.org/W2023003945","https://openalex.org/W2026445137","https://openalex.org/W2035101269","https://openalex.org/W2048794992","https://openalex.org/W2063122837","https://openalex.org/W2067406437","https://openalex.org/W2070549656","https://openalex.org/W2073585824","https://openalex.org/W2094012975","https://openalex.org/W2098458738","https://openalex.org/W2130505011","https://openalex.org/W2202656477","https://openalex.org/W2275123641","https://openalex.org/W2276763382","https://openalex.org/W2334615639","https://openalex.org/W2464975856"],"related_works":["https://openalex.org/W2071161976","https://openalex.org/W3170227767","https://openalex.org/W2031886898","https://openalex.org/W1698940032","https://openalex.org/W2473735480","https://openalex.org/W2092796231","https://openalex.org/W4389363996","https://openalex.org/W2324106744","https://openalex.org/W2363057109","https://openalex.org/W2151144427"],"abstract_inverted_index":{"Based":[0],"on":[1],"concepts":[2,40],"for":[3,21],"semigroups,":[4],"fractional":[5,22],"calculus,":[6],"resolvent":[7],"operator":[8],"and":[9],"Banach":[10,30],"contraction":[11],"principle,":[12],"this":[13],"manuscript":[14],"is":[15,56],"principally":[16],"involved":[17],"with":[18,26],"existence":[19],"results":[20],"neutral":[23],"integro-differential":[24],"systems":[25],"state-dependent":[27],"delay":[28],"in":[29],"spaces.":[31],"To":[32],"acquire":[33],"the":[34,43,46,59,70],"main":[35],"results,":[36],"ou":[37],"r":[38],"working":[39],"are":[41,65],"that":[42],"functions":[44],"deciding":[45],"equation":[47],"fulfill":[48],"certain":[49],"Lipschitz":[50],"conditions":[51],"of":[52],"local":[53],"type":[54],"which":[55],"similar":[57],"to":[58,68],"hypotheses":[60],"[1].":[61],"Finally":[62],"an":[63],"examples":[64],"additionally":[66],"offered":[67],"exhibit":[69],"achieved":[71],"hypotheses.":[72]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-12-19T00:32:22.182498","created_date":"2025-10-10T00:00:00"}
