{"id":"https://openalex.org/W2164287433","doi":"https://doi.org/10.2478/v10006-007-0037-9","title":"Optimal Approximation, Simulation and Analog Realization of the Fundamental Fractional Order Transfer Function","display_name":"Optimal Approximation, Simulation and Analog Realization of the Fundamental Fractional Order Transfer Function","publication_year":2007,"publication_date":"2007-12-01","ids":{"openalex":"https://openalex.org/W2164287433","doi":"https://doi.org/10.2478/v10006-007-0037-9","mag":"2164287433"},"language":"en","primary_location":{"id":"doi:10.2478/v10006-007-0037-9","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-007-0037-9","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-007-0037-9","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://sciendo.com/pdf/10.2478/v10006-007-0037-9","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044806821","display_name":"Abdelbaki Djouambi","orcid":"https://orcid.org/0000-0002-2086-0505"},"institutions":[{"id":"https://openalex.org/I3132180716","display_name":"Larbi Ben M'hidi University of Oum El Bouaghi","ror":"https://ror.org/0034tbg85","country_code":"DZ","type":"education","lineage":["https://openalex.org/I3132180716"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Abdelbaki Djouambi","raw_affiliation_strings":["OEB - Universit\u00e9 Larbi-Ben-Mhidi [Oum-El-Bouaghi] (1er Novembre 1954, Oum el Bouaghi 04000\r\n - Algeria)"],"affiliations":[{"raw_affiliation_string":"OEB - Universit\u00e9 Larbi-Ben-Mhidi [Oum-El-Bouaghi] (1er Novembre 1954, Oum el Bouaghi 04000\r\n - Algeria)","institution_ids":["https://openalex.org/I3132180716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084014354","display_name":"Abdelfatah Charef","orcid":"https://orcid.org/0000-0002-4429-5192"},"institutions":[{"id":"https://openalex.org/I125485651","display_name":"University Fr\u00e8res Mentouri Constantine 1","ror":"https://ror.org/017wv6808","country_code":"DZ","type":"education","lineage":["https://openalex.org/I125485651"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Abdelfatah Charef","raw_affiliation_strings":["UMC - Universit\u00e9 Fr\u00e8res Mentouri \u2013 Constantine 1 = Constantine 1 \u2013 Fr\u00e8res Mentouri University (BP, 325 Route de Ain El Bey, Constantine - Algeria)"],"affiliations":[{"raw_affiliation_string":"UMC - Universit\u00e9 Fr\u00e8res Mentouri \u2013 Constantine 1 = Constantine 1 \u2013 Fr\u00e8res Mentouri University (BP, 325 Route de Ain El Bey, Constantine - Algeria)","institution_ids":["https://openalex.org/I125485651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105382139","display_name":"Alina Voda Besan\u00e7on","orcid":null},"institutions":[{"id":"https://openalex.org/I4210124956","display_name":"GIPSA-Lab","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alina Besan\u00e7on","raw_affiliation_strings":["GIPSA-SLR - GIPSA - Syst\u00e8mes lin\u00e9aires et robustesse (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)"],"affiliations":[{"raw_affiliation_string":"GIPSA-SLR - GIPSA - Syst\u00e8mes lin\u00e9aires et robustesse (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)","institution_ids":["https://openalex.org/I4210124956"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5044806821"],"corresponding_institution_ids":["https://openalex.org/I3132180716"],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":7.0287,"has_fulltext":true,"cited_by_count":73,"citation_normalized_percentile":{"value":0.96793624,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"17","issue":"4","first_page":"455","last_page":"462"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T11236","display_name":"Control Systems and Identification","score":0.9900000095367432,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9843000173568726,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.7822889685630798},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.6800483465194702},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5610182285308838},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5354160666465759},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.5265912413597107},{"id":"https://openalex.org/keywords/irrational-number","display_name":"Irrational number","score":0.5001614093780518},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48262056708335876},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4749298691749573},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.44004812836647034},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37724173069000244},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3585445284843445},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.344663143157959},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2788248658180237}],"concepts":[{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.7822889685630798},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.6800483465194702},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5610182285308838},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5354160666465759},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.5265912413597107},{"id":"https://openalex.org/C94931360","wikidata":"https://www.wikidata.org/wiki/Q607728","display_name":"Irrational number","level":2,"score":0.5001614093780518},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48262056708335876},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4749298691749573},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.44004812836647034},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37724173069000244},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3585445284843445},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.344663143157959},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2788248658180237},{"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.2478/v10006-007-0037-9","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-007-0037-9","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-007-0037-9","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.390.5395","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.390.5395","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://matwbn.icm.edu.pl/ksiazki/amc/amc17/amc1743.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00203730v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00203730","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":"International Journal of Applied Mathematics and Computer Science, 2007, 17 (4), pp.455-462. &#x27E8;10.2478/v10006-007-0037-9&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:zbc.uz.zgora.pl:78667","is_oa":false,"landing_page_url":"https://zbc.uz.zgora.pl/dlibra/docmetadata?showContent=true&id=78667","pdf_url":null,"source":{"id":"https://openalex.org/S4306400400","display_name":"Digital library of Zielona Gora (University of Zielona G\u00f3ra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I46305939","host_organization_name":"University of Zielona G\u00f3ra","host_organization_lineage":["https://openalex.org/I46305939"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.amcs.uz.zgora.pl/?action=papers&issue=30","raw_type":"artyku\u0142"}],"best_oa_location":{"id":"doi:10.2478/v10006-007-0037-9","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-007-0037-9","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-007-0037-9","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2164287433.pdf","grobid_xml":"https://content.openalex.org/works/W2164287433.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W55790716","https://openalex.org/W594721390","https://openalex.org/W1553338987","https://openalex.org/W1654369324","https://openalex.org/W1997430937","https://openalex.org/W2014021697","https://openalex.org/W2018517858","https://openalex.org/W2026039351","https://openalex.org/W2061121445","https://openalex.org/W2061504531","https://openalex.org/W2083559699","https://openalex.org/W2084267371","https://openalex.org/W2155572235","https://openalex.org/W2161400602","https://openalex.org/W2326627744","https://openalex.org/W2787959293","https://openalex.org/W2788509868","https://openalex.org/W3150603910","https://openalex.org/W4295973403"],"related_works":["https://openalex.org/W3088646517","https://openalex.org/W2973552040","https://openalex.org/W2185277279","https://openalex.org/W4220768180","https://openalex.org/W2377639682","https://openalex.org/W2792087242","https://openalex.org/W2387799803","https://openalex.org/W3100817393","https://openalex.org/W3120892761","https://openalex.org/W2011026789"],"abstract_inverted_index":{"Optimal":[0],"Approximation,":[1],"Simulation":[2],"and":[3,40,84,93,120],"Analog":[4],"Realization":[5],"of":[6,19,30,53,56,73,122],"the":[7,20,31,49,74,82,85,89,118,123],"Fundamental":[8],"Fractional":[9],"Order":[10],"Transfer":[11],"Function":[12],"This":[13],"paper":[14],"provides":[15],"an":[16],"optimal":[17,71],"approximation":[18,124],"fundamental":[21,106],"linear":[22],"fractional":[23,57,108],"order":[24],"transfer":[25,51,91],"function":[26,52,67,92],"using":[27],"a":[28,54,60,65,105],"distribution":[29],"relaxation":[32],"time":[33],"function.":[34],"Simple":[35],"methods,":[36],"useful":[37],"in":[38],"systems":[39,58],"control":[41],"theories,":[42],"which":[43,101],"can":[44,102],"be":[45],"used":[46],"to":[47,116],"approximate":[48],"irrational":[50,90],"class":[55],"for":[59],"given":[61],"frequency":[62],"band":[63],"by":[64,79],"rational":[66,95],"are":[68,77,114],"presented.":[69],"The":[70],"parameters":[72],"approximated":[75],"model":[76],"obtained":[78],"minimizing":[80],"simultaneously":[81],"gain":[83],"phase":[86],"error":[87],"between":[88],"its":[94],"approximation.":[96],"A":[97],"simple":[98],"analog":[99,107],"circuit":[100],"serve":[103],"as":[104],"system":[109],"is":[110],"obtained.":[111],"Illustrative":[112],"examples":[113],"presented":[115],"show":[117],"quality":[119],"usefulness":[121],"method.":[125]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
