{"id":"https://openalex.org/W2577091685","doi":"https://doi.org/10.1109/ecc.2016.7810616","title":"On the differences of variable type and variable fractional order","display_name":"On the differences of variable type and variable fractional order","publication_year":2016,"publication_date":"2016-06-01","ids":{"openalex":"https://openalex.org/W2577091685","doi":"https://doi.org/10.1109/ecc.2016.7810616","mag":"2577091685"},"language":"en","primary_location":{"id":"doi:10.1109/ecc.2016.7810616","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2016.7810616","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 European Control Conference (ECC)","raw_type":"proceedings-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/A5080278994","display_name":"Dominik Sierociuk","orcid":"https://orcid.org/0000-0002-3700-3665"},"institutions":[{"id":"https://openalex.org/I108403487","display_name":"Warsaw University of Technology","ror":"https://ror.org/00y0xnp53","country_code":"PL","type":"education","lineage":["https://openalex.org/I108403487"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Dominik Sierociuk","raw_affiliation_strings":["Faculty of Electrical Engineering, Warsaw University of Technology, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, Warsaw University of Technology, Warsaw, Poland","institution_ids":["https://openalex.org/I108403487"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035300373","display_name":"Wiktor Malesza","orcid":"https://orcid.org/0000-0001-8644-2552"},"institutions":[{"id":"https://openalex.org/I108403487","display_name":"Warsaw University of Technology","ror":"https://ror.org/00y0xnp53","country_code":"PL","type":"education","lineage":["https://openalex.org/I108403487"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Wiktor Malesza","raw_affiliation_strings":["Faculty of Electrical Engineering, Warsaw University of Technology, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, Warsaw University of Technology, Warsaw, Poland","institution_ids":["https://openalex.org/I108403487"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080278994"],"corresponding_institution_ids":["https://openalex.org/I108403487"],"apc_list":null,"apc_paid":null,"fwci":1.1305,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.79593432,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"3","issue":null,"first_page":"2191","last_page":"2196"},"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/T11081","display_name":"Advanced Control Systems Design","score":0.9994000196456909,"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":0.9800999760627747,"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/variable","display_name":"Variable (mathematics)","score":0.7886284589767456},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.726458728313446},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5951821804046631},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5432068705558777},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4599020481109619},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3642796277999878},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23544487357139587}],"concepts":[{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.7886284589767456},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.726458728313446},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5951821804046631},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5432068705558777},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4599020481109619},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3642796277999878},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23544487357139587},{"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ecc.2016.7810616","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2016.7810616","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W85574676","https://openalex.org/W935093213","https://openalex.org/W1564732974","https://openalex.org/W1571391776","https://openalex.org/W1963563982","https://openalex.org/W1982323734","https://openalex.org/W1984903525","https://openalex.org/W1993190712","https://openalex.org/W2017722132","https://openalex.org/W2017831866","https://openalex.org/W2019466342","https://openalex.org/W2026223132","https://openalex.org/W2087661690","https://openalex.org/W2154471670","https://openalex.org/W2155855497","https://openalex.org/W2163809525","https://openalex.org/W2477921776","https://openalex.org/W2478961926","https://openalex.org/W2787959293","https://openalex.org/W2963776900","https://openalex.org/W6672507531","https://openalex.org/W6748396876"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"The":[0,22],"paper":[1],"presents":[2],"definitions":[3,27,38],"of":[4,13,25,37],"the":[5,9],"fractional":[6],"differences":[7],"for":[8],"case":[10],"when":[11],"type":[12],"variable":[14],"order":[15],"difference":[16],"definition":[17],"is":[18],"changed":[19],"in":[20],"time.":[21],"matrix":[23],"form":[24],"introduced":[26],"are":[28,42],"presented":[29],"together":[30],"with":[31],"corresponding":[32],"switching":[33,40],"strategies.":[34],"Numerical":[35],"results":[36],"and":[39,45],"schemes":[41],"also":[43],"given":[44],"compared.":[46]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}