{"id":"https://openalex.org/W3205130807","doi":"https://doi.org/10.3390/sym13101929","title":"Fuzzy Differential Subordination of the Atangana\u2013Baleanu Fractional Integral","display_name":"Fuzzy Differential Subordination of the Atangana\u2013Baleanu Fractional Integral","publication_year":2021,"publication_date":"2021-10-14","ids":{"openalex":"https://openalex.org/W3205130807","doi":"https://doi.org/10.3390/sym13101929","mag":"3205130807"},"language":"en","primary_location":{"id":"doi:10.3390/sym13101929","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13101929","pdf_url":"https://www.mdpi.com/2073-8994/13/10/1929/pdf?version=1634637217","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/13/10/1929/pdf?version=1634637217","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051696109","display_name":"Alina Alb Lupa\u015f","orcid":"https://orcid.org/0000-0002-2855-7535"},"institutions":[{"id":"https://openalex.org/I162871001","display_name":"University of Oradea","ror":"https://ror.org/00wzhv093","country_code":"RO","type":"education","lineage":["https://openalex.org/I162871001"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Alina Alb Lupa\u015f","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania"],"raw_orcid":"https://orcid.org/0000-0002-2855-7535","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania","institution_ids":["https://openalex.org/I162871001"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013745777","display_name":"Adriana C\u0103ta\u015f","orcid":"https://orcid.org/0000-0002-1000-7375"},"institutions":[{"id":"https://openalex.org/I162871001","display_name":"University of Oradea","ror":"https://ror.org/00wzhv093","country_code":"RO","type":"education","lineage":["https://openalex.org/I162871001"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Adriana C\u0103ta\u015f","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania"],"raw_orcid":"https://orcid.org/0000-0002-1000-7375","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania","institution_ids":["https://openalex.org/I162871001"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051696109"],"corresponding_institution_ids":["https://openalex.org/I162871001"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":8.4455,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.98464941,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"13","issue":"10","first_page":"1929","last_page":"1929"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9990000128746033,"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"}},{"id":"https://openalex.org/T13511","display_name":"Geodetic Measurements and Engineering Structures","score":0.9282000064849854,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/subordination","display_name":"Subordination (linguistics)","score":0.9268275499343872},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7568554282188416},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6692612171173096},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.6585701704025269},{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.515977680683136},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.4130706191062927},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.3729730248451233},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.345791220664978},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.29007449746131897},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2634966969490051},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2059297263622284},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12144544720649719},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.06050184369087219}],"concepts":[{"id":"https://openalex.org/C2777406531","wikidata":"https://www.wikidata.org/wiki/Q2031017","display_name":"Subordination (linguistics)","level":2,"score":0.9268275499343872},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7568554282188416},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6692612171173096},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.6585701704025269},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.515977680683136},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.4130706191062927},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3729730248451233},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.345791220664978},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.29007449746131897},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2634966969490051},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2059297263622284},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12144544720649719},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.06050184369087219},{"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym13101929","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13101929","pdf_url":"https://www.mdpi.com/2073-8994/13/10/1929/pdf?version=1634637217","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a88e9cca065346beb58c875e2254f0fc","is_oa":true,"landing_page_url":"https://doaj.org/article/a88e9cca065346beb58c875e2254f0fc","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 13, Iss 10, p 1929 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/13/10/1929/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym13101929","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym13101929","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13101929","pdf_url":"https://www.mdpi.com/2073-8994/13/10/1929/pdf?version=1634637217","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3205130807.pdf"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W82553446","https://openalex.org/W2187312464","https://openalex.org/W2577686690","https://openalex.org/W2793986313","https://openalex.org/W2946727213","https://openalex.org/W2953631148","https://openalex.org/W2964854182","https://openalex.org/W3017148051","https://openalex.org/W3021511288","https://openalex.org/W3094889298","https://openalex.org/W3096040293","https://openalex.org/W3145872766","https://openalex.org/W3164097959","https://openalex.org/W3165135418","https://openalex.org/W3166743327","https://openalex.org/W3167613750","https://openalex.org/W3176682651","https://openalex.org/W3185029543","https://openalex.org/W3193762843","https://openalex.org/W3194057784","https://openalex.org/W3200293578","https://openalex.org/W3204570872","https://openalex.org/W4211007335","https://openalex.org/W4233886660","https://openalex.org/W4312304305","https://openalex.org/W4387423595","https://openalex.org/W6686935146","https://openalex.org/W6731893293"],"related_works":["https://openalex.org/W4362679660","https://openalex.org/W2754149008","https://openalex.org/W2734878744","https://openalex.org/W172694950","https://openalex.org/W2778103536","https://openalex.org/W1994650426","https://openalex.org/W3201797622","https://openalex.org/W2388562435","https://openalex.org/W3135211543","https://openalex.org/W4321109048"],"abstract_inverted_index":{"The":[0],"present":[1],"paper":[2],"continues":[3],"the":[4,7,33,44,60],"study":[5],"on":[6],"relatively":[8],"new":[9],"concept":[10],"of":[11,37,62],"fuzzy":[12,26,49,66],"differential":[13,50],"subordination":[14,27],"conducted":[15],"in":[16],"some":[17,48],"recently":[18],"published":[19],"cited":[20],"papers.":[21],"In":[22],"this":[23],"article,":[24],"certain":[25],"results":[28],"for":[29,47],"analytical":[30],"functions":[31,39,64],"involving":[32],"Atangana\u2013Baleanu":[34],"fractional":[35],"integral":[36],"Bessel":[38],"are":[40,52,57],"presented.":[41],"Theorems":[42],"giving":[43],"best":[45,67],"dominants":[46],"subordinations":[51],"proved,":[53],"and":[54],"interesting":[55],"corollaries":[56],"provided":[58],"with":[59],"use":[61],"particular":[63],"as":[65],"dominants.":[68]},"counts_by_year":[{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":8}],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2025-10-10T00:00:00"}