{"id":"https://openalex.org/W2046340221","doi":"https://doi.org/10.1007/s11760-012-0332-2","title":"Transients of fractional-order integrator and derivatives","display_name":"Transients of fractional-order integrator and derivatives","publication_year":2012,"publication_date":"2012-05-15","ids":{"openalex":"https://openalex.org/W2046340221","doi":"https://doi.org/10.1007/s11760-012-0332-2","mag":"2046340221"},"language":"en","primary_location":{"id":"doi:10.1007/s11760-012-0332-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11760-012-0332-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11760-012-0332-2.pdf","source":{"id":"https://openalex.org/S156904493","display_name":"Signal Image and Video Processing","issn_l":"1863-1703","issn":["1863-1703","1863-1711"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Signal, Image and Video Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s11760-012-0332-2.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068952677","display_name":"Jean\u2010Claude Trigeassou","orcid":"https://orcid.org/0000-0003-2587-9958"},"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"]},{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"J. C. Trigeassou","raw_affiliation_strings":["IMS-LAPS, University of Bordeaux I, 351 Avenue de la Lib\u00e9ration, 33405, Talence Cedex, France","Laboratoire de l'int\u00e9gration, du mat\u00e9riau au syst\u00e8me"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMS-LAPS, University of Bordeaux I, 351 Avenue de la Lib\u00e9ration, 33405, Talence Cedex, France","institution_ids":["https://openalex.org/I4210166017","https://openalex.org/I15057530","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"Laboratoire de l'int\u00e9gration, du mat\u00e9riau au syst\u00e8me","institution_ids":["https://openalex.org/I4210157089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058341948","display_name":"Nezha Maamri","orcid":"https://orcid.org/0000-0002-6362-9768"},"institutions":[{"id":"https://openalex.org/I32881790","display_name":"Universit\u00e9 de Poitiers","ror":"https://ror.org/04xhy8q59","country_code":"FR","type":"education","lineage":["https://openalex.org/I32881790"]},{"id":"https://openalex.org/I4210116740","display_name":"Laboratoire d'Informatique et d'Automatique pour les Syst\u00e8mes","ror":"https://ror.org/02b5vq778","country_code":"FR","type":"facility","lineage":["https://openalex.org/I32881790","https://openalex.org/I4210116740"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"N. Maamri","raw_affiliation_strings":["LAII, University of Poitiers, 40 Avenue du Recteur Pineau, 86022, Poitiers Cedex, France","Automatique et Syst\u00e8mes","Laboratoire d'Informatique et d'Automatique pour les Syst\u00e8mes [Poitiers]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAII, University of Poitiers, 40 Avenue du Recteur Pineau, 86022, Poitiers Cedex, France","institution_ids":["https://openalex.org/I32881790"]},{"raw_affiliation_string":"Automatique et Syst\u00e8mes","institution_ids":["https://openalex.org/I4210116740"]},{"raw_affiliation_string":"Laboratoire d'Informatique et d'Automatique pour les Syst\u00e8mes [Poitiers]","institution_ids":["https://openalex.org/I4210116740"]}]},{"author_position":"middle","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"]},{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J. Sabatier","raw_affiliation_strings":["IMS-LAPS, University of Bordeaux I, 351 Avenue de la Lib\u00e9ration, 33405, Talence Cedex, France","Laboratoire de l'int\u00e9gration, du mat\u00e9riau au syst\u00e8me"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMS-LAPS, University of Bordeaux I, 351 Avenue de la Lib\u00e9ration, 33405, Talence Cedex, France","institution_ids":["https://openalex.org/I4210166017","https://openalex.org/I15057530","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"Laboratoire de l'int\u00e9gration, du mat\u00e9riau au syst\u00e8me","institution_ids":["https://openalex.org/I4210157089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106760201","display_name":"A. Oustaloup","orcid":null},"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"]},{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"A. Oustaloup","raw_affiliation_strings":["IMS-LAPS, University of Bordeaux I, 351 Avenue de la Lib\u00e9ration, 33405, Talence Cedex, France","Laboratoire de l'int\u00e9gration, du mat\u00e9riau au syst\u00e8me"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMS-LAPS, University of Bordeaux I, 351 Avenue de la Lib\u00e9ration, 33405, Talence Cedex, France","institution_ids":["https://openalex.org/I4210166017","https://openalex.org/I15057530","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"Laboratoire de l'int\u00e9gration, du mat\u00e9riau au syst\u00e8me","institution_ids":["https://openalex.org/I4210157089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5068952677"],"corresponding_institution_ids":["https://openalex.org/I15057530","https://openalex.org/I4210157089","https://openalex.org/I4210160189","https://openalex.org/I4210166017"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":6.7057,"has_fulltext":true,"cited_by_count":83,"citation_normalized_percentile":{"value":0.97445887,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"6","issue":"3","first_page":"359","last_page":"372"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9998999834060669,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9976999759674072,"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/fractional-calculus","display_name":"Fractional calculus","score":0.8226910829544067},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.8149145841598511},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7153991460800171},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.5981331467628479},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5396691560745239},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.5321786999702454},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5241915583610535},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.459147185087204},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4556752145290375},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.41164571046829224},{"id":"https://openalex.org/keywords/fractional-order-system","display_name":"Fractional-order system","score":0.41093242168426514},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3122440576553345},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18366536498069763},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12187311053276062}],"concepts":[{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.8226910829544067},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.8149145841598511},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7153991460800171},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.5981331467628479},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5396691560745239},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.5321786999702454},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5241915583610535},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.459147185087204},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4556752145290375},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.41164571046829224},{"id":"https://openalex.org/C2779728712","wikidata":"https://www.wikidata.org/wiki/Q17014617","display_name":"Fractional-order system","level":3,"score":0.41093242168426514},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3122440576553345},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18366536498069763},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12187311053276062},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11760-012-0332-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11760-012-0332-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11760-012-0332-2.pdf","source":{"id":"https://openalex.org/S156904493","display_name":"Signal Image and Video Processing","issn_l":"1863-1703","issn":["1863-1703","1863-1711"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Signal, Image and Video Processing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00981829v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00981829","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":"Signal, Image and Video Processing, 2012, 6 (3), pp.359-372. ⟨10.1007/s11760-012-0332-2⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s11760-012-0332-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11760-012-0332-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11760-012-0332-2.pdf","source":{"id":"https://openalex.org/S156904493","display_name":"Signal Image and Video Processing","issn_l":"1863-1703","issn":["1863-1703","1863-1711"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Signal, Image and Video Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2046340221.pdf","grobid_xml":"https://content.openalex.org/works/W2046340221.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W26144839","https://openalex.org/W148919764","https://openalex.org/W585909976","https://openalex.org/W594721390","https://openalex.org/W624794821","https://openalex.org/W648709882","https://openalex.org/W1516580706","https://openalex.org/W1553338987","https://openalex.org/W1559244587","https://openalex.org/W1578028990","https://openalex.org/W1578816460","https://openalex.org/W1581329055","https://openalex.org/W1972604589","https://openalex.org/W1995813948","https://openalex.org/W2001020627","https://openalex.org/W2004202105","https://openalex.org/W2019424969","https://openalex.org/W2023076762","https://openalex.org/W2028567600","https://openalex.org/W2029111059","https://openalex.org/W2033167592","https://openalex.org/W2041183314","https://openalex.org/W2044481843","https://openalex.org/W2060885260","https://openalex.org/W2075110582","https://openalex.org/W2077232874","https://openalex.org/W2082062104","https://openalex.org/W2104004850","https://openalex.org/W2113132853","https://openalex.org/W2120090534","https://openalex.org/W2143523960","https://openalex.org/W2156757264","https://openalex.org/W2167663782","https://openalex.org/W2168575223","https://openalex.org/W2226391174","https://openalex.org/W2477921776","https://openalex.org/W2617384825","https://openalex.org/W2730752519","https://openalex.org/W2787959293","https://openalex.org/W2788509868","https://openalex.org/W2798813531"],"related_works":["https://openalex.org/W2026150734","https://openalex.org/W14317389","https://openalex.org/W2060885260","https://openalex.org/W2088226871","https://openalex.org/W4317627639","https://openalex.org/W4313396013","https://openalex.org/W3024206168","https://openalex.org/W3005643231","https://openalex.org/W52595378","https://openalex.org/W2766285581"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}