{"id":"https://openalex.org/W864037190","doi":"https://doi.org/10.1137/120903853","title":"Approximate Controllability of Fractional Evolution Systems with Riemann--Liouville Fractional Derivatives","display_name":"Approximate Controllability of Fractional Evolution Systems with Riemann--Liouville Fractional Derivatives","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W864037190","doi":"https://doi.org/10.1137/120903853","mag":"864037190"},"language":"en","primary_location":{"id":"doi:10.1137/120903853","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120903853","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5009373696","display_name":"Zhenhai Liu","orcid":"https://orcid.org/0000-0001-6022-1970"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhenhai Liu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5048541909","display_name":"Li Xiuwen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xiuwen Li","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":25.2051,"has_fulltext":false,"cited_by_count":148,"citation_normalized_percentile":{"value":0.99847431,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"53","issue":"4","first_page":"1920","last_page":"1933"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9997000098228455,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9991999864578247,"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/mathematics","display_name":"Mathematics","score":0.8772196769714355},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.8326176404953003},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.755471408367157},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6974775195121765},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.514732837677002},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46335697174072266},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.452304869890213},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3904658555984497}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8772196769714355},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.8326176404953003},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.755471408367157},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6974775195121765},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.514732837677002},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46335697174072266},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.452304869890213},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3904658555984497}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/120903853","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120903853","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1480055697","https://openalex.org/W1527296550","https://openalex.org/W1584611818","https://openalex.org/W1971270532","https://openalex.org/W1973622131","https://openalex.org/W1975919332","https://openalex.org/W1977397014","https://openalex.org/W1983323635","https://openalex.org/W2001780787","https://openalex.org/W2011301580","https://openalex.org/W2021492437","https://openalex.org/W2028390985","https://openalex.org/W2039360824","https://openalex.org/W2039706047","https://openalex.org/W2054091785","https://openalex.org/W2058408589","https://openalex.org/W2059809407","https://openalex.org/W2086850378","https://openalex.org/W2101874122","https://openalex.org/W2125503484","https://openalex.org/W2787959293"],"related_works":["https://openalex.org/W2036697162","https://openalex.org/W2332386680","https://openalex.org/W2248621902","https://openalex.org/W2003779889","https://openalex.org/W2561315646","https://openalex.org/W4205698120","https://openalex.org/W4239246781","https://openalex.org/W2542825942","https://openalex.org/W3201620972","https://openalex.org/W1496421768"],"abstract_inverted_index":{"In":[0],"this":[1,26],"paper,":[2],"we":[3],"deal":[4],"with":[5],"the":[6,35,46,50],"control":[7],"systems":[8,54],"governed":[9],"by":[10],"fractional":[11,17,52,57],"evolution":[12,53],"differential":[13],"equations":[14],"involving":[15,55],"Riemann--Liouville":[16,56],"derivatives":[18,58],"in":[19,25],"Banach":[20],"spaces.":[21],"Our":[22],"main":[23],"purpose":[24],"article":[27],"is":[28,59],"to":[29,33],"establish":[30],"suitable":[31],"assumptions":[32],"guarantee":[34],"existence":[36],"and":[37,61],"uniqueness":[38],"results":[39],"of":[40,49],"mild":[41],"solutions.":[42],"Under":[43],"these":[44],"conditions,":[45],"approximate":[47],"controllability":[48],"associated":[51],"formulated":[60],"proved.":[62]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":23},{"year":2022,"cited_by_count":20},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":20},{"year":2017,"cited_by_count":15},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-17T08:01:34.144755","created_date":"2025-10-10T00:00:00"}
