{"id":"https://openalex.org/W2949723021","doi":"https://doi.org/10.1108/gs-11-2018-0052","title":"Research on a novel fractional GM(<i>\u03b1</i>, <i>n</i>) model and its applications","display_name":"Research on a novel fractional GM(<i>\u03b1</i>, <i>n</i>) model and its applications","publication_year":2019,"publication_date":"2019-06-20","ids":{"openalex":"https://openalex.org/W2949723021","doi":"https://doi.org/10.1108/gs-11-2018-0052","mag":"2949723021"},"language":"en","primary_location":{"id":"doi:10.1108/gs-11-2018-0052","is_oa":false,"landing_page_url":"https://doi.org/10.1108/gs-11-2018-0052","pdf_url":null,"source":{"id":"https://openalex.org/S4210188239","display_name":"Grey Systems Theory and Application","issn_l":"2043-9377","issn":["2043-9377","2043-9385"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319811","host_organization_name":"Emerald Publishing Limited","host_organization_lineage":["https://openalex.org/P4310319811"],"host_organization_lineage_names":["Emerald Publishing Limited"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Grey Systems: Theory and Application","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/A5007735063","display_name":"Wenqing Wu","orcid":"https://orcid.org/0000-0002-4717-9795"},"institutions":[{"id":"https://openalex.org/I1297991670","display_name":"Southwest University of Science and Technology","ror":"https://ror.org/04d996474","country_code":"CN","type":"education","lineage":["https://openalex.org/I1297991670"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wenqing Wu","raw_affiliation_strings":["School of Science, Southwest University of Science and Technology, Mianyang, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Southwest University of Science and Technology, Mianyang, China","institution_ids":["https://openalex.org/I1297991670"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070296642","display_name":"Xin Ma","orcid":"https://orcid.org/0000-0001-7847-911X"},"institutions":[{"id":"https://openalex.org/I1297991670","display_name":"Southwest University of Science and Technology","ror":"https://ror.org/04d996474","country_code":"CN","type":"education","lineage":["https://openalex.org/I1297991670"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Ma","raw_affiliation_strings":["School of Science, Southwest University of Science and Technology, Mianyang, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Southwest University of Science and Technology, Mianyang, China","institution_ids":["https://openalex.org/I1297991670"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041321290","display_name":"Yong Wang","orcid":"https://orcid.org/0000-0001-8533-1789"},"institutions":[{"id":"https://openalex.org/I165745306","display_name":"Southwest Petroleum University","ror":"https://ror.org/03h17x602","country_code":"CN","type":"education","lineage":["https://openalex.org/I165745306"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Wang","raw_affiliation_strings":["School of Science, Southwest Petroleum University, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Southwest Petroleum University, Chengdu, China","institution_ids":["https://openalex.org/I165745306"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100320704","display_name":"Yuanyuan Zhang","orcid":"https://orcid.org/0009-0003-7987-3436"},"institutions":[{"id":"https://openalex.org/I1297991670","display_name":"Southwest University of Science and Technology","ror":"https://ror.org/04d996474","country_code":"CN","type":"education","lineage":["https://openalex.org/I1297991670"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanyuan Zhang","raw_affiliation_strings":["School of Science, Southwest University of Science and Technology, Mianyang, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Southwest University of Science and Technology, Mianyang, China","institution_ids":["https://openalex.org/I1297991670"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052886607","display_name":"Bo Zeng","orcid":"https://orcid.org/0000-0002-3869-6555"},"institutions":[{"id":"https://openalex.org/I145581781","display_name":"Chongqing Technology and Business University","ror":"https://ror.org/05hqf1284","country_code":"CN","type":"education","lineage":["https://openalex.org/I145581781"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Zeng","raw_affiliation_strings":["College of Business Planning, Chongqing Technology and Business University, Chongqing, China"],"affiliations":[{"raw_affiliation_string":"College of Business Planning, Chongqing Technology and Business University, Chongqing, China","institution_ids":["https://openalex.org/I145581781"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5007735063"],"corresponding_institution_ids":["https://openalex.org/I1297991670"],"apc_list":null,"apc_paid":null,"fwci":8.6616,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.97895291,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"9","issue":"3","first_page":"356","last_page":"373"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12368","display_name":"Grey System Theory Applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12368","display_name":"Grey System Theory Applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11059","display_name":"Market Dynamics and Volatility","score":0.9072999954223633,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.5504756569862366},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5344454646110535},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4649340808391571},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44966378808021545},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44617795944213867},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.4256567656993866},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4232370853424072},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4147113561630249},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3802129328250885},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.28885602951049805},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09757280349731445},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.08346608281135559}],"concepts":[{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.5504756569862366},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5344454646110535},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4649340808391571},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44966378808021545},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44617795944213867},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.4256567656993866},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4232370853424072},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4147113561630249},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3802129328250885},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.28885602951049805},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09757280349731445},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08346608281135559},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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:10.1108/gs-11-2018-0052","is_oa":false,"landing_page_url":"https://doi.org/10.1108/gs-11-2018-0052","pdf_url":null,"source":{"id":"https://openalex.org/S4210188239","display_name":"Grey Systems Theory and Application","issn_l":"2043-9377","issn":["2043-9377","2043-9385"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319811","host_organization_name":"Emerald Publishing Limited","host_organization_lineage":["https://openalex.org/P4310319811"],"host_organization_lineage_names":["Emerald Publishing Limited"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Grey Systems: Theory and Application","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5799999833106995,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W1605182429","https://openalex.org/W1977726933","https://openalex.org/W1992665910","https://openalex.org/W2009587056","https://openalex.org/W2013377700","https://openalex.org/W2019459516","https://openalex.org/W2029624237","https://openalex.org/W2036014202","https://openalex.org/W2039109810","https://openalex.org/W2043792085","https://openalex.org/W2055781590","https://openalex.org/W2063705806","https://openalex.org/W2076298069","https://openalex.org/W2083038452","https://openalex.org/W2087120645","https://openalex.org/W2087131890","https://openalex.org/W2117603680","https://openalex.org/W2123700529","https://openalex.org/W2143094521","https://openalex.org/W2156302255","https://openalex.org/W2218802200","https://openalex.org/W2335480884","https://openalex.org/W2514702643","https://openalex.org/W2522707780","https://openalex.org/W2577022856","https://openalex.org/W2577194360","https://openalex.org/W2580688858","https://openalex.org/W2607197734","https://openalex.org/W2613527064","https://openalex.org/W2755953898","https://openalex.org/W2756726018","https://openalex.org/W2787959293","https://openalex.org/W2789445479","https://openalex.org/W2790979288","https://openalex.org/W2792214622","https://openalex.org/W2793266273","https://openalex.org/W2799644721","https://openalex.org/W2804202111","https://openalex.org/W2806999439","https://openalex.org/W2807489375","https://openalex.org/W2807710380","https://openalex.org/W2810698648","https://openalex.org/W2885346283","https://openalex.org/W2887719172","https://openalex.org/W2893850211","https://openalex.org/W2894871218","https://openalex.org/W2897183100","https://openalex.org/W2899739185","https://openalex.org/W2904250082","https://openalex.org/W2907375473","https://openalex.org/W4242671632"],"related_works":["https://openalex.org/W2406638334","https://openalex.org/W2082446734","https://openalex.org/W1995243476","https://openalex.org/W4313560640","https://openalex.org/W4300013288","https://openalex.org/W2951020105","https://openalex.org/W1991765889","https://openalex.org/W4246784705","https://openalex.org/W1990068454","https://openalex.org/W2339985089"],"abstract_inverted_index":{"Purpose":[0],"The":[1,29,47,68,100,118,152,175],"purpose":[2],"of":[3,43,90,103,112,133,177,229],"this":[4],"paper":[5],"is":[6,54,73,84,159,185,207],"to":[7,86,161,173,199,211,225],"develop":[8],"a":[9,17,72,80,94,123,142,154,180],"novel":[10],"multivariate":[11,214],"fractional":[12,70,192,215],"grey":[13,44,60,216],"model":[14,31,53,115,146,158,184],"termed":[15],"GM(":[16,48,93,122,141,153,179,217],",":[18,50,95,124,143,155,181,219],"n":[19,26,51,96,120,144,156,182,220],")":[20,27,52,97,145,157,183,221],"based":[21],"on":[22,235],"the":[23,41,59,64,76,88,91,104,109,113,134,140,168,178,208,213,227],"classical":[24],"GM(1,":[25,119,127],"model.":[28,98,135],"new":[30,92],"can":[32],"provide":[33],"accurate":[34,148],"prediction":[35],"with":[36,167],"more":[37,186],"freedom,":[38],"and":[39,63,108,126,188,233],"enrich":[40],"content":[42],"theory.":[45],"Design/methodology/approach":[46],"\u03b1":[49,218],"systematically":[55],"studied":[56],"by":[57,75,191],"using":[58],"modelling":[61,190],"technique":[62],"forward":[65],"difference":[66],"method.":[67],"optimal":[69],"order":[71],"computed":[74],"genetic":[77],"algorithm.":[78],"Meanwhile,":[79],"stochastic":[81],"testing":[82],"scheme":[83],"presented":[85,114],"verify":[87],"accuracy":[89],"Findings":[99],"recursive":[101],"expressions":[102],"time":[105,210],"response":[106],"function":[107],"restored":[110],"values":[111],"are":[116,130],"deduced.":[117],"),":[121],"1)":[125,128],"models":[129],"special":[131],"cases":[132],"Computational":[136],"results":[137],"illustrate":[138],"that":[139],"provides":[147],"prediction.":[149],"Research":[150],"limitations/implications":[151],"used":[160,201],"predict":[162],"China\u2019s":[163,230],"total":[164],"energy":[165,203,236],"consumption":[166],"raw":[169],"data":[170],"from":[171],"2006":[172],"2016.":[174],"superiority":[176],"freedom":[187],"better":[189],"derivative,":[193],"which":[194],"implies":[195],"its":[196],"high":[197],"potential":[198],"be":[200],"in":[202],"field.":[204],"Originality/value":[205],"It":[206],"first":[209],"investigate":[212],"model,":[222],"apply":[223],"it":[224],"study":[226],"effects":[228],"economic":[231],"growth":[232],"urbanization":[234],"consumption.":[237]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":2}],"updated_date":"2026-04-12T07:58:50.170612","created_date":"2025-10-10T00:00:00"}
