{"id":"https://openalex.org/W3025596361","doi":"https://doi.org/10.1080/01969722.2020.1758470","title":"Non-Singular Kernels for Modelling Power Law Type Long Memory Behaviours and Beyond","display_name":"Non-Singular Kernels for Modelling Power Law Type Long Memory Behaviours and Beyond","publication_year":2020,"publication_date":"2020-05-12","ids":{"openalex":"https://openalex.org/W3025596361","doi":"https://doi.org/10.1080/01969722.2020.1758470","mag":"3025596361"},"language":"en","primary_location":{"id":"doi:10.1080/01969722.2020.1758470","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01969722.2020.1758470","pdf_url":null,"source":{"id":"https://openalex.org/S117436046","display_name":"Cybernetics & Systems","issn_l":"0196-9722","issn":["0196-9722","1087-6553"],"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":"Cybernetics and Systems","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/A5043987025","display_name":"Jocelyn Sabatier","orcid":"https://orcid.org/0000-0003-0085-7103"},"institutions":[{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]},{"id":"https://openalex.org/I4210157089","display_name":"Laboratoire de l'Int\u00e9gration du Mat\u00e9riau au Syst\u00e8me","ror":"https://ror.org/04nabhy78","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210091158","https://openalex.org/I4210095849","https://openalex.org/I4210157089","https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jocelyn Sabatier","raw_affiliation_strings":["IMS Laboratory, Bordeaux University, Talence, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMS Laboratory, Bordeaux University, Talence, France","institution_ids":["https://openalex.org/I15057530","https://openalex.org/I4210157089","https://openalex.org/I4210160189"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043987025"],"corresponding_institution_ids":["https://openalex.org/I15057530","https://openalex.org/I4210157089","https://openalex.org/I4210160189"],"apc_list":null,"apc_paid":null,"fwci":0.5379,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.72752305,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"51","issue":"4","first_page":"383","last_page":"401"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998000264167786,"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":0.9998000264167786,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9995999932289124,"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/T11236","display_name":"Control Systems and Identification","score":0.9801999926567078,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.7394062280654907},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.6030100584030151},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5882099270820618},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5391889214515686},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5061473250389099},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5029205679893494},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.48924875259399414},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4823169708251953},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4537140130996704},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45054683089256287},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.428048700094223},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.417195200920105},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23726359009742737},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16137945652008057},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15569928288459778},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08238893747329712},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.07136091589927673}],"concepts":[{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.7394062280654907},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6030100584030151},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5882099270820618},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5391889214515686},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5061473250389099},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5029205679893494},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.48924875259399414},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4823169708251953},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4537140130996704},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45054683089256287},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.428048700094223},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.417195200920105},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23726359009742737},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16137945652008057},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15569928288459778},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08238893747329712},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.07136091589927673},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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":2,"locations":[{"id":"doi:10.1080/01969722.2020.1758470","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01969722.2020.1758470","pdf_url":null,"source":{"id":"https://openalex.org/S117436046","display_name":"Cybernetics & Systems","issn_l":"0196-9722","issn":["0196-9722","1087-6553"],"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":"Cybernetics and Systems","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02897396v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02897396","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Cybernetics and Systems, 2020, 51 (4), pp.383-401. ⟨10.1080/01969722.2020.1758470⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.800000011920929,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W173731017","https://openalex.org/W611067399","https://openalex.org/W1489991626","https://openalex.org/W1530054495","https://openalex.org/W1973099745","https://openalex.org/W1975467998","https://openalex.org/W1995656807","https://openalex.org/W1998561306","https://openalex.org/W2006205876","https://openalex.org/W2023892618","https://openalex.org/W2026039351","https://openalex.org/W2052774831","https://openalex.org/W2059509336","https://openalex.org/W2071324059","https://openalex.org/W2075110582","https://openalex.org/W2095835509","https://openalex.org/W2136254520","https://openalex.org/W2161411167","https://openalex.org/W2226391174","https://openalex.org/W2401294069","https://openalex.org/W2556784265","https://openalex.org/W2787895155","https://openalex.org/W2790948512","https://openalex.org/W2792188620","https://openalex.org/W2947399951","https://openalex.org/W2963641381","https://openalex.org/W4206688928","https://openalex.org/W4239838448","https://openalex.org/W4292095448","https://openalex.org/W6651013747"],"related_works":["https://openalex.org/W4251428025","https://openalex.org/W4289867043","https://openalex.org/W2784467519","https://openalex.org/W2366459771","https://openalex.org/W1973736094","https://openalex.org/W2350707375","https://openalex.org/W2377881809","https://openalex.org/W2355516922","https://openalex.org/W1959408986","https://openalex.org/W2988424716"],"abstract_inverted_index":{"To":[0],"tackle":[1],"several":[2],"limitations":[3],"recently":[4],"highlighted":[5],"in":[6,111,172],"the":[7,22,96,100,112,173],"field":[8],"of":[9,24,37,74,88,91,118],"fractional":[10,13,25,101,107,145,159],"differentiation":[11],"and":[12,61],"models,":[14],"some":[15,32],"authors":[16],"have":[17,31,62],"proposed":[18],"new":[19],"kernels":[20,29,45,58],"for":[21,150],"definition":[23],"integration/differentiation":[26],"operators.":[27],"These":[28],"still":[30],"limitations,":[33],"however.":[34],"One":[35],"goal":[36],"this":[38,89],"paper":[39,97],"is":[40,93,114],"thus":[41,137],"to":[42,70,77,144,166],"propose":[43],"other":[44],"with":[46],"a":[47,63,72,106,115,124,141],"power":[48,80,151],"law":[49,81,152],"type":[50,82,153],"behavior":[51,156],"that":[52,99],"overcome":[53],"these":[54,57],"limitations.":[55],"All":[56],"are":[59,67,164],"nonsingular":[60],"limited":[64],"memory.":[65],"They":[66],"then":[68],"used":[69,110],"define":[71],"class":[73,90],"models":[75],"adapted":[76],"capture":[78],"input-output":[79],"long":[83,154],"memory":[84,130,155],"behaviors.":[85],"The":[86],"stability":[87],"model":[92,108],"investigated.":[94],"Finally,":[95],"shows":[98],"pseudo":[102,146,160],"state":[103,147,161],"space":[104,148,162],"description,":[105],"widely":[109],"literature,":[113],"special":[116],"case":[117],"Volterra":[119,127],"equations,":[120,128],"equations":[121],"introduced":[122],"nearly":[123],"century":[125],"ago.":[126],"whose":[129],"length":[131],"can":[132,136],"be":[133,138],"explicitly":[134],"controlled,":[135],"viewed":[139],"as":[140,158],"serious":[142,168],"alternative":[143],"descriptions":[149,163],"modeling,":[157],"known":[165],"exhibit":[167],"drawbacks":[169],"also":[170],"discussed":[171],"paper.":[174]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}