{"id":"https://openalex.org/W2986627926","doi":"https://doi.org/10.1109/tcsii.2019.2952693","title":"Comparative Study of Riemann\u2013Liouville and Caputo Derivative Definitions in Time-Domain Analysis of Fractional-Order Capacitor","display_name":"Comparative Study of Riemann\u2013Liouville and Caputo Derivative Definitions in Time-Domain Analysis of Fractional-Order Capacitor","publication_year":2019,"publication_date":"2019-11-11","ids":{"openalex":"https://openalex.org/W2986627926","doi":"https://doi.org/10.1109/tcsii.2019.2952693","mag":"2986627926"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2019.2952693","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2019.2952693","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs","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/A5016614936","display_name":"Yanwei Jiang","orcid":"https://orcid.org/0000-0002-3804-475X"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yanwei Jiang","raw_affiliation_strings":["School of Electric Power, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Electric Power, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100335215","display_name":"Bo Zhang","orcid":"https://orcid.org/0000-0001-9172-698X"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Zhang","raw_affiliation_strings":["School of Electric Power, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Electric Power, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5016614936"],"corresponding_institution_ids":["https://openalex.org/I90610280"],"apc_list":null,"apc_paid":null,"fwci":2.8574,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.91175847,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"67","issue":"10","first_page":"2184","last_page":"2188"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9950000047683716,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9559999704360962,"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/fractional-calculus","display_name":"Fractional calculus","score":0.7858192920684814},{"id":"https://openalex.org/keywords/capacitor","display_name":"Capacitor","score":0.655445396900177},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5733942985534668},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.5292410850524902},{"id":"https://openalex.org/keywords/time-domain","display_name":"Time domain","score":0.49508586525917053},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.4580397307872772},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44077837467193604},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42359447479248047},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3866085410118103},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.12034076452255249},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09234762191772461},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.07999515533447266}],"concepts":[{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.7858192920684814},{"id":"https://openalex.org/C52192207","wikidata":"https://www.wikidata.org/wiki/Q5322","display_name":"Capacitor","level":3,"score":0.655445396900177},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5733942985534668},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.5292410850524902},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.49508586525917053},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.4580397307872772},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44077837467193604},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42359447479248047},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3866085410118103},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.12034076452255249},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09234762191772461},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.07999515533447266},{"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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2019.2952693","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2019.2952693","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8408499448","display_name":null,"funder_award_id":"51437005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1797405740","https://openalex.org/W1990427148","https://openalex.org/W2001020627","https://openalex.org/W2005010408","https://openalex.org/W2006460895","https://openalex.org/W2054959383","https://openalex.org/W2063133641","https://openalex.org/W2081334188","https://openalex.org/W2090038452","https://openalex.org/W2093891329","https://openalex.org/W2106464396","https://openalex.org/W2108873887","https://openalex.org/W2156489230","https://openalex.org/W2219864042","https://openalex.org/W2294239831","https://openalex.org/W2414035436","https://openalex.org/W2522356204","https://openalex.org/W2605079518","https://openalex.org/W2734574414","https://openalex.org/W2759069897","https://openalex.org/W2781864263","https://openalex.org/W2787959293","https://openalex.org/W2801735765","https://openalex.org/W2889332605","https://openalex.org/W2944968067","https://openalex.org/W6650965883","https://openalex.org/W6751017215"],"related_works":["https://openalex.org/W4398198689","https://openalex.org/W2354365353","https://openalex.org/W1988437325","https://openalex.org/W2811287415","https://openalex.org/W2354835317","https://openalex.org/W2130152888","https://openalex.org/W2089892488","https://openalex.org/W2416906960","https://openalex.org/W2050580331","https://openalex.org/W3049300385"],"abstract_inverted_index":{"The":[0,155],"fractional-order":[1,29,45,59,70,85,136,150,153],"capacitor":[2,86,137],"applied":[3],"in":[4,65,138],"power":[5],"electronic":[6],"converters,":[7],"filters":[8],"or":[9,34],"other":[10],"circuits":[11,151],"has":[12],"become":[13],"a":[14,50,84,128],"hot":[15],"spot":[16],"due":[17],"to":[18,40,53],"benefits,":[19],"such":[20],"as":[21],"high-performance":[22],"and":[23,57,80,134,159],"flexibility.":[24],"Two":[25],"typical":[26],"kinds":[27],"of":[28,44,69,83,101,114],"derivative":[30,60,126,143],"definitions,":[31],"Riemann-Liouville":[32],"(RL)":[33],"Caputo":[35],"derivatives":[36],"are":[37,91],"popularly":[38],"used":[39],"analyze":[41],"the":[42,66,78,106,112,119,162],"characteristics":[43],"capacitor.":[46,71,154],"However,":[47],"it":[48],"remains":[49],"fundamental":[51],"challenge":[52],"find":[54],"that":[55,96,124],"when":[56],"which":[58],"definition":[61],"is":[62,94,108,127,144],"more":[63,129,146],"suitable":[64,147],"time-domain":[67],"analysis":[68,82],"In":[72,104],"this":[73,121],"brief,":[74],"comparative":[75],"investigations":[76],"about":[77],"transient":[79],"steady":[81],"adopting":[87],"these":[88],"two":[89],"definitions":[90],"performed.":[92],"It":[93],"determined":[95],"difference":[97,107],"comes":[98],"from":[99,157],"description":[100],"dynamic":[102],"process.":[103],"particular,":[105],"especially":[109],"obvious":[110],"for":[111,132,148],"cases":[113],"step-up":[115],"input.":[116],"Based":[117],"on":[118],"analysis,":[120],"brief":[122],"proposed":[123],"RL":[125,142],"accurate":[130],"choice":[131],"modeling":[133],"analyzing":[135],"time":[139],"domain.":[140],"Moreover,":[141],"also":[145],"solving":[149],"with":[152],"results":[156],"simulations":[158],"experiments":[160],"verify":[161],"conclusion.":[163]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
