{"id":"https://openalex.org/W4390468859","doi":"https://doi.org/10.3390/a17010020","title":"Algorithms for Fractional Dynamical Behaviors Modelling Using Non-Singular Rational Kernels","display_name":"Algorithms for Fractional Dynamical Behaviors Modelling Using Non-Singular Rational Kernels","publication_year":2023,"publication_date":"2023-12-31","ids":{"openalex":"https://openalex.org/W4390468859","doi":"https://doi.org/10.3390/a17010020"},"language":"en","primary_location":{"id":"doi:10.3390/a17010020","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17010020","pdf_url":"https://www.mdpi.com/1999-4893/17/1/20/pdf?version=1704013619","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/17/1/20/pdf?version=1704013619","any_repository_has_fulltext":true},"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/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"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, UMR 5218 CNRS, 351 Cours de la Lib\u00e9ration, 33405 Talence, France"],"affiliations":[{"raw_affiliation_string":"IMS Laboratory, Bordeaux University, UMR 5218 CNRS, 351 Cours de la Lib\u00e9ration, 33405 Talence, France","institution_ids":["https://openalex.org/I4210157089","https://openalex.org/I4210160189","https://openalex.org/I1294671590","https://openalex.org/I15057530"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072765841","display_name":"Christophe Farges","orcid":"https://orcid.org/0000-0002-4670-1537"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"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":false,"raw_author_name":"Christophe Farges","raw_affiliation_strings":["IMS Laboratory, Bordeaux University, UMR 5218 CNRS, 351 Cours de la Lib\u00e9ration, 33405 Talence, France"],"affiliations":[{"raw_affiliation_string":"IMS Laboratory, Bordeaux University, UMR 5218 CNRS, 351 Cours de la Lib\u00e9ration, 33405 Talence, France","institution_ids":["https://openalex.org/I4210157089","https://openalex.org/I4210160189","https://openalex.org/I1294671590","https://openalex.org/I15057530"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043987025"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210157089","https://openalex.org/I4210160189"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.4478,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60713206,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"17","issue":"1","first_page":"20","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9768999814987183,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9743000268936157,"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/rational-function","display_name":"Rational function","score":0.7135846614837646},{"id":"https://openalex.org/keywords/impulse-response","display_name":"Impulse response","score":0.6554324626922607},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5589388012886047},{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.5071754455566406},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4914892911911011},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4878668785095215},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.46573320031166077},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44980233907699585},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40859222412109375},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37918978929519653},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.32355374097824097},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.203843891620636},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16508257389068604},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15265798568725586}],"concepts":[{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.7135846614837646},{"id":"https://openalex.org/C72279823","wikidata":"https://www.wikidata.org/wiki/Q1139726","display_name":"Impulse response","level":2,"score":0.6554324626922607},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5589388012886047},{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.5071754455566406},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4914892911911011},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4878668785095215},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.46573320031166077},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44980233907699585},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40859222412109375},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37918978929519653},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.32355374097824097},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.203843891620636},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16508257389068604},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15265798568725586},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/a17010020","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17010020","pdf_url":"https://www.mdpi.com/1999-4893/17/1/20/pdf?version=1704013619","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:82bff0d64bf24b4f800ac1a8f252301e","is_oa":true,"landing_page_url":"https://doaj.org/article/82bff0d64bf24b4f800ac1a8f252301e","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 17, Iss 1, p 20 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/a17010020","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17010020","pdf_url":"https://www.mdpi.com/1999-4893/17/1/20/pdf?version=1704013619","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7799999713897705,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4390468859.pdf"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W594721390","https://openalex.org/W806633968","https://openalex.org/W1513079632","https://openalex.org/W1976335820","https://openalex.org/W1993965014","https://openalex.org/W1995656807","https://openalex.org/W2009849678","https://openalex.org/W2018517858","https://openalex.org/W2030442358","https://openalex.org/W2059509336","https://openalex.org/W2087975056","https://openalex.org/W2136254520","https://openalex.org/W2556784265","https://openalex.org/W2560261741","https://openalex.org/W2792188620","https://openalex.org/W2806475481","https://openalex.org/W2963641381","https://openalex.org/W3004510395","https://openalex.org/W3027645126","https://openalex.org/W3044254835","https://openalex.org/W3098594427","https://openalex.org/W3174866588","https://openalex.org/W3195448615","https://openalex.org/W4225318244","https://openalex.org/W4225743866","https://openalex.org/W4281747607","https://openalex.org/W4289704156","https://openalex.org/W4312084760","https://openalex.org/W6617749431","https://openalex.org/W6730176618"],"related_works":["https://openalex.org/W2379773606","https://openalex.org/W1539575243","https://openalex.org/W4210969128","https://openalex.org/W2119597290","https://openalex.org/W1997409431","https://openalex.org/W1987553284","https://openalex.org/W1548891870","https://openalex.org/W2281416914","https://openalex.org/W2140267235","https://openalex.org/W1975973603"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"algorithms":[3,25],"to":[4,29,40],"model":[5],"fractional":[6],"(dynamical)":[7],"behaviors":[8],"using":[9,76],"non-singular":[10,32],"rational":[11,33,68],"kernels":[12],"whose":[13],"interest":[14],"is":[15],"first":[16,44,78],"demonstrated":[17],"on":[18],"a":[19,31],"pure":[20],"power":[21],"law":[22],"function.":[23],"Two":[24],"are":[26],"then":[27],"proposed":[28,87],"find":[30],"kernel":[34],"that":[35,70],"allows":[36],"the":[37,47,51,55,61,67,72,77,83,86],"input-output":[38],"data":[39],"be":[41],"fitted.":[42],"The":[43,57],"one":[45,59],"derives":[46],"impulse":[48,73],"response":[49,74],"of":[50,66,85],"modeled":[52],"system":[53],"from":[54],"data.":[56],"second":[58],"finds":[60],"interlaced":[62],"poles":[63],"and":[64],"zeros":[65],"function":[69],"fits":[71],"found":[75],"algorithm.":[79],"Several":[80],"applications":[81],"show":[82],"efficiency":[84],"work.":[88]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-02-28T09:26:25.869077","created_date":"2025-10-10T00:00:00"}