{"id":"https://openalex.org/W4385069640","doi":"https://doi.org/10.3233/jifs-224099","title":"Large time behavior of solution to second-order fractal difference equation with positive fuzzy parameters","display_name":"Large time behavior of solution to second-order fractal difference equation with positive fuzzy parameters","publication_year":2023,"publication_date":"2023-07-21","ids":{"openalex":"https://openalex.org/W4385069640","doi":"https://doi.org/10.3233/jifs-224099"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-224099","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-224099","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","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/A5085155319","display_name":"Qianhong Zhang","orcid":"https://orcid.org/0000-0001-9553-5443"},"institutions":[{"id":"https://openalex.org/I170172562","display_name":"Guizhou University of Finance and Economics","ror":"https://ror.org/02sw6yz40","country_code":"CN","type":"education","lineage":["https://openalex.org/I170172562"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qianhong Zhang","raw_affiliation_strings":["School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou, P. R. China","institution_ids":["https://openalex.org/I170172562"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037097443","display_name":"Bairong Pan","orcid":null},"institutions":[{"id":"https://openalex.org/I170172562","display_name":"Guizhou University of Finance and Economics","ror":"https://ror.org/02sw6yz40","country_code":"CN","type":"education","lineage":["https://openalex.org/I170172562"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bairong Pan","raw_affiliation_strings":["School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou, P. R. China","institution_ids":["https://openalex.org/I170172562"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101484475","display_name":"Miao Ouyang","orcid":"https://orcid.org/0000-0002-7120-0160"},"institutions":[{"id":"https://openalex.org/I75867142","display_name":"Xiamen University of Technology","ror":"https://ror.org/01285e189","country_code":"CN","type":"education","lineage":["https://openalex.org/I75867142"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Miao Ouyang","raw_affiliation_strings":["School of Applied Mathematics, Xiamen University of Technology, Xiamen, Fujian, China"],"affiliations":[{"raw_affiliation_string":"School of Applied Mathematics, Xiamen University of Technology, Xiamen, Fujian, China","institution_ids":["https://openalex.org/I75867142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050419710","display_name":"Fubiao Lin","orcid":"https://orcid.org/0000-0003-4529-4930"},"institutions":[{"id":"https://openalex.org/I170172562","display_name":"Guizhou University of Finance and Economics","ror":"https://ror.org/02sw6yz40","country_code":"CN","type":"education","lineage":["https://openalex.org/I170172562"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fubiao Lin","raw_affiliation_strings":["School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou, P. R. China","institution_ids":["https://openalex.org/I170172562"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5085155319"],"corresponding_institution_ids":["https://openalex.org/I170172562"],"apc_list":null,"apc_paid":null,"fwci":0.5903,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69445575,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"45","issue":"4","first_page":"5709","last_page":"5721"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9976999759674072,"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":0.9965000152587891,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7504450678825378},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7471746206283569},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.6932176351547241},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.6273746490478516},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6131467223167419},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5504207015037537},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5087531208992004},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4555682837963104},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3565632700920105},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16580945253372192},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.10496503114700317},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0983746349811554}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7504450678825378},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7471746206283569},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.6932176351547241},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.6273746490478516},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6131467223167419},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5504207015037537},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5087531208992004},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4555682837963104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3565632700920105},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16580945253372192},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.10496503114700317},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0983746349811554},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-224099","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-224099","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5099999904632568,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1608917902","https://openalex.org/W1953179223","https://openalex.org/W1991566479","https://openalex.org/W1995123739","https://openalex.org/W2000354797","https://openalex.org/W2014313162","https://openalex.org/W2024420873","https://openalex.org/W2026269993","https://openalex.org/W2031597801","https://openalex.org/W2032800569","https://openalex.org/W2073147081","https://openalex.org/W2073697720","https://openalex.org/W2077145056","https://openalex.org/W2082895280","https://openalex.org/W2092633092","https://openalex.org/W2132101421","https://openalex.org/W2137096267","https://openalex.org/W2155969518","https://openalex.org/W2171617128","https://openalex.org/W2295026352","https://openalex.org/W2405635222","https://openalex.org/W2464952138","https://openalex.org/W2583253243","https://openalex.org/W2610444089","https://openalex.org/W2614860758","https://openalex.org/W2729797951","https://openalex.org/W2794740122","https://openalex.org/W2915871963","https://openalex.org/W3047204195","https://openalex.org/W3092916488","https://openalex.org/W4211007335","https://openalex.org/W4225643567","https://openalex.org/W4237086096","https://openalex.org/W4237544082","https://openalex.org/W4292411114","https://openalex.org/W4298084067","https://openalex.org/W6659258184","https://openalex.org/W6737228366","https://openalex.org/W6738023688"],"related_works":["https://openalex.org/W2013332237","https://openalex.org/W1522259561","https://openalex.org/W2371138613","https://openalex.org/W2295517574","https://openalex.org/W2048963458","https://openalex.org/W43109613","https://openalex.org/W2359952343","https://openalex.org/W2380221404","https://openalex.org/W2373248682","https://openalex.org/W1527746113"],"abstract_inverted_index":{"The":[0],"article":[1],"is":[2],"concerned":[3],"with":[4,15],"large":[5,72],"time":[6,73],"behavior":[7],"of":[8,64,67,75,91],"solution":[9,78],"to":[10],"second-order":[11],"fractal":[12],"difference":[13],"equation":[14],"positive":[16,58,76],"fuzzy":[17,59,68,77],"parameters":[18,54],"x":[19,26,30],"n":[20,27,31,35],"+":[21,25,29],"1":[22,33,37],"=":[23,36,49],"A":[24],"B":[28,56],"-":[32],",":[34,38,40,42],"2":[39],"\u22ef":[41],"here":[43],"the":[44,53,89,92],"initial":[45],"values":[46],"xi":[47],"(i":[48],"-1,":[50],"0)":[51],"and":[52],"A,":[55],"are":[57],"numbers.":[60],"Utilizing":[61],"a":[62],"generalization":[63],"division":[65],"(g-division)":[66],"numbers,":[69],"one":[70],"presents":[71],"behaviors":[74],"including":[79],"persistence,":[80],"boundedness,":[81],"global":[82],"convergence.":[83],"Moreover,":[84],"two":[85],"numerical":[86],"examples":[87],"verify":[88],"effectiveness":[90],"qualitative":[93],"analysis.":[94]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
