{"id":"https://openalex.org/W2002423029","doi":"https://doi.org/10.1109/iceee.2013.6676076","title":"Fractional order systems: an Approach to the initial value problem and its stability","display_name":"Fractional order systems: an Approach to the initial value problem and its stability","publication_year":2013,"publication_date":"2013-09-01","ids":{"openalex":"https://openalex.org/W2002423029","doi":"https://doi.org/10.1109/iceee.2013.6676076","mag":"2002423029"},"language":"en","primary_location":{"id":"doi:10.1109/iceee.2013.6676076","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iceee.2013.6676076","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 10th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","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/A5112049453","display_name":"Jorge A. Le\u00f2n","orcid":null},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Jorge A. Leon","raw_affiliation_strings":["Department of Automatic Control, CINVESTAV-IPN, M\u00e9xico City, M\u00e9xico","Dept. of Autom. Control, CINVESTAV-IPN, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, CINVESTAV-IPN, M\u00e9xico City, M\u00e9xico","institution_ids":["https://openalex.org/I68368234"]},{"raw_affiliation_string":"Dept. of Autom. Control, CINVESTAV-IPN, Mexico City, Mexico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065329018","display_name":"Guillermo Fern\u00e1ndez\u2010Anaya","orcid":"https://orcid.org/0000-0002-9695-3409"},"institutions":[{"id":"https://openalex.org/I205571821","display_name":"Ibero American University","ror":"https://ror.org/05vss7635","country_code":"MX","type":"education","lineage":["https://openalex.org/I205571821"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Guillermo Fernandez-Anaya","raw_affiliation_strings":["Department of Physics and Mathematics, Universidad Iberoamericana, M\u00e9xico City","Dept. of Phys. & Math., Univ. Iberoamericana, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Mathematics, Universidad Iberoamericana, M\u00e9xico City","institution_ids":["https://openalex.org/I205571821"]},{"raw_affiliation_string":"Dept. of Phys. & Math., Univ. Iberoamericana, Mexico City, Mexico","institution_ids":["https://openalex.org/I205571821"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015542687","display_name":"R. Mart\u00ednez\u2010Mart\u00ednez","orcid":"https://orcid.org/0000-0001-7795-4468"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]},{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Rafael Martinez-Martinez","raw_affiliation_strings":["DCA, Academy Systems, M\u00e9xico City, M\u00e9xico","DCA, UPIITA-IPN, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DCA, Academy Systems, M\u00e9xico City, M\u00e9xico","institution_ids":[]},{"raw_affiliation_string":"DCA, UPIITA-IPN, Mexico City, Mexico","institution_ids":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2705,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57412791,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"24","issue":null,"first_page":"98","last_page":"103"},"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9667999744415283,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/stability","display_name":"Stability (learning theory)","score":0.7112769484519958},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6721070408821106},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6647889614105225},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.6252298355102539},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.6022674441337585},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.5300376415252686},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.491134375333786},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46327683329582214},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4369282126426697},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4053577184677124},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3494514226913452},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1312321424484253},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06803259253501892}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7112769484519958},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6721070408821106},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6647889614105225},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.6252298355102539},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.6022674441337585},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.5300376415252686},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.491134375333786},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46327683329582214},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4369282126426697},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4053577184677124},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3494514226913452},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1312321424484253},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06803259253501892},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iceee.2013.6676076","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iceee.2013.6676076","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 10th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","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":23,"referenced_works":["https://openalex.org/W14317389","https://openalex.org/W56786142","https://openalex.org/W1530054495","https://openalex.org/W1584611818","https://openalex.org/W1964059517","https://openalex.org/W1975670568","https://openalex.org/W1980407022","https://openalex.org/W2004202105","https://openalex.org/W2031553914","https://openalex.org/W2044481843","https://openalex.org/W2048554912","https://openalex.org/W2055701161","https://openalex.org/W2058317840","https://openalex.org/W2058860728","https://openalex.org/W2075110582","https://openalex.org/W2085560684","https://openalex.org/W2115372497","https://openalex.org/W2128981151","https://openalex.org/W2733237704","https://openalex.org/W2786091816","https://openalex.org/W4247953052","https://openalex.org/W6602327797","https://openalex.org/W6631654290"],"related_works":["https://openalex.org/W4323768008","https://openalex.org/W1941703695","https://openalex.org/W4248382324","https://openalex.org/W3131574667","https://openalex.org/W4360995134","https://openalex.org/W3023605104","https://openalex.org/W2039473718","https://openalex.org/W2387529410","https://openalex.org/W2383578611","https://openalex.org/W2987583674"],"abstract_inverted_index":{"In":[0],"this":[1,35],"paper,":[2],"we":[3],"discuss":[4],"the":[5,18,24,30,37,44,66,78,81],"initial":[6,47],"value":[7],"problem":[8,45],"and":[9,72],"its":[10],"stability":[11],"for":[12,80],"fractional":[13],"autonomous":[14],"order":[15,41],"systems":[16],"in":[17,23,33,40,53],"usual":[19],"sense.":[20],"Our":[21],"result":[22],"linear":[25],"case":[26],"is":[27],"equivalent":[28],"to":[29,42,63],"one":[31],"known":[32,71],"literature;":[34],"establishes":[36],"mathematic":[38],"technique":[39],"solve":[43],"with":[46,77],"trajectory":[48],"that":[49,58,68],"will":[50],"be":[51],"presented":[52],"future":[54],"studies.":[55],"The":[56],"conditions":[57],"are":[59,61,69],"shown":[60],"simpler":[62],"verify":[64],"than":[65],"ones":[67],"commonly":[70],"have":[73],"a":[74],"close":[75],"relationship":[76],"calculations":[79],"integer":[82],"case.":[83]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}