{"id":"https://openalex.org/W3191753892","doi":"https://doi.org/10.1093/imamci/dnab010","title":"Controllability of non-linear fractional-order systems with damping behaviour and multiple delays","display_name":"Controllability of non-linear fractional-order systems with damping behaviour and multiple delays","publication_year":2021,"publication_date":"2021-02-20","ids":{"openalex":"https://openalex.org/W3191753892","doi":"https://doi.org/10.1093/imamci/dnab010","mag":"3191753892"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnab010","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnab010","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/A5002429827","display_name":"G. Arthi","orcid":"https://orcid.org/0000-0002-6688-4609"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"G Arthi","raw_affiliation_strings":["Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore 641004, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore 641004, India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043638647","display_name":"K. Suganya","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"K Suganya","raw_affiliation_strings":["Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore 641004, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore 641004, India","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002429827"],"corresponding_institution_ids":[],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.1791,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.4581209,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"38","issue":"3","first_page":"794","last_page":"821"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9998000264167786,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.9445787072181702},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.8230360746383667},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6745365858078003},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5982035398483276},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5945636630058289},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5759511590003967},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.524511456489563},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.5150191783905029},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.5144476890563965},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4757542312145233},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4314281642436981},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.43012771010398865},{"id":"https://openalex.org/keywords/mittag-leffler-function","display_name":"Mittag-Leffler function","score":0.4211435317993164},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37177300453186035},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20380765199661255},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07132062315940857},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.05552321672439575}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9445787072181702},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.8230360746383667},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6745365858078003},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5982035398483276},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5945636630058289},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5759511590003967},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.524511456489563},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5150191783905029},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.5144476890563965},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4757542312145233},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4314281642436981},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.43012771010398865},{"id":"https://openalex.org/C98724732","wikidata":"https://www.wikidata.org/wiki/Q1935235","display_name":"Mittag-Leffler function","level":3,"score":0.4211435317993164},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37177300453186035},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20380765199661255},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07132062315940857},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.05552321672439575},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/imamci/dnab010","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnab010","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W433794350","https://openalex.org/W1553338987","https://openalex.org/W1584611818","https://openalex.org/W1588818623","https://openalex.org/W1906556220","https://openalex.org/W1970223909","https://openalex.org/W1973418968","https://openalex.org/W1998765421","https://openalex.org/W1999801580","https://openalex.org/W2003829691","https://openalex.org/W2005304548","https://openalex.org/W2018517858","https://openalex.org/W2039360824","https://openalex.org/W2043860063","https://openalex.org/W2055701161","https://openalex.org/W2078864748","https://openalex.org/W2121025418","https://openalex.org/W2142142783","https://openalex.org/W2397272250","https://openalex.org/W2526831617","https://openalex.org/W2573777706","https://openalex.org/W2583471568","https://openalex.org/W2664240469","https://openalex.org/W2753849312","https://openalex.org/W2754371488","https://openalex.org/W2791410192","https://openalex.org/W2886408994","https://openalex.org/W2891413689","https://openalex.org/W2912599830","https://openalex.org/W2954867993","https://openalex.org/W2959152592","https://openalex.org/W2986467003","https://openalex.org/W3008491847","https://openalex.org/W4301223505","https://openalex.org/W4392537071","https://openalex.org/W6635174698","https://openalex.org/W6712508546","https://openalex.org/W6743989855","https://openalex.org/W6758912659","https://openalex.org/W6862849245"],"related_works":["https://openalex.org/W2947935779","https://openalex.org/W4317627639","https://openalex.org/W4313396013","https://openalex.org/W3024206168","https://openalex.org/W2557365333","https://openalex.org/W3005643231","https://openalex.org/W2500436220","https://openalex.org/W4380882032","https://openalex.org/W3162310426","https://openalex.org/W4382751250"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"controllability":[2,22,54],"analysis":[3],"of":[4,41,58],"both":[5],"linear":[6],"and":[7,14,31,45,74],"non-linear":[8,59],"fractional-order":[9,61],"systems":[10,63],"with":[11,27,38,64],"damping":[12],"behaviour":[13],"multiple":[15,32,65],"delays":[16,33,66],"is":[17],"studied.":[18],"We":[19],"derived":[20],"the":[21,39,84],"result":[23],"for":[24,55],"damped":[25,62],"system":[26],"multi-term":[28,60],"fractional":[29,71],"order":[30],"by":[34,69],"introducing":[35],"some":[36,49],"lemmas":[37],"help":[40],"Laplace":[42],"transform":[43],"properties":[44],"Mittag\u2013Leffler":[46],"function.":[47],"Further,":[48],"new":[50],"sufficient":[51],"conditions":[52],"ensuring":[53],"a":[56],"class":[57],"are":[67,89],"established":[68],"utilizing":[70],"Caputo":[72],"derivatives":[73],"Schauder\u2019s":[75],"fixed":[76],"point":[77],"theorem.":[78],"Moreover,":[79],"as":[80],"applications":[81],"that":[82],"demonstrate":[83],"proposed":[85],"results,":[86],"two":[87],"examples":[88],"presented.":[90]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
