{"id":"https://openalex.org/W2077426144","doi":"https://doi.org/10.1142/s0218127412500861","title":"EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY","display_name":"EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY","publication_year":2012,"publication_date":"2012-03-14","ids":{"openalex":"https://openalex.org/W2077426144","doi":"https://doi.org/10.1142/s0218127412500861","mag":"2077426144"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127412500861","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412500861","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5100600142","display_name":"Feng Jiao","orcid":"https://orcid.org/0000-0002-5894-8094"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"FENG JIAO","raw_affiliation_strings":["School of Mathematics and Information Sciences, Guangzhou University, Guangdong 510006, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Sciences, Guangzhou University, Guangdong 510006, P. R. China","institution_ids":["https://openalex.org/I37987034"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016943819","display_name":"Yong Zhou","orcid":"https://orcid.org/0000-0002-4099-8077"},"institutions":[{"id":"https://openalex.org/I4610292","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4610292"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"YONG ZHOU","raw_affiliation_strings":["School of Mathematics and Computational Science, Xiangtan University, Hunan 411105, P. R. China","School of Mathematics and Computational Science, Xiangtan University, Hunan, 411105, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computational Science, Xiangtan University, Hunan 411105, P. R. China","institution_ids":["https://openalex.org/I4610292"]},{"raw_affiliation_string":"School of Mathematics and Computational Science, Xiangtan University, Hunan, 411105, P.R. China","institution_ids":["https://openalex.org/I4610292"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.9534,"has_fulltext":false,"cited_by_count":205,"citation_normalized_percentile":{"value":0.9843713,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"22","issue":"04","first_page":"1250086","last_page":"1250086"},"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9998000264167786,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9955000281333923,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7897385358810425},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.7142412662506104},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.667999267578125},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5558223128318787},{"id":"https://openalex.org/keywords/critical-point","display_name":"Critical point (mathematics)","score":0.5326604247093201},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.46433010697364807},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.417502224445343},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33710891008377075},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.053983718156814575}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7897385358810425},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.7142412662506104},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.667999267578125},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5558223128318787},{"id":"https://openalex.org/C196298200","wikidata":"https://www.wikidata.org/wiki/Q577705","display_name":"Critical point (mathematics)","level":2,"score":0.5326604247093201},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.46433010697364807},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.417502224445343},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33710891008377075},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.053983718156814575},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127412500861","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412500861","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4000000059604645}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1523640391","https://openalex.org/W1528987510","https://openalex.org/W1550268283","https://openalex.org/W1575983931","https://openalex.org/W1644646652","https://openalex.org/W1966513244","https://openalex.org/W1968134101","https://openalex.org/W1970531720","https://openalex.org/W1975729780","https://openalex.org/W1983302216","https://openalex.org/W1983323635","https://openalex.org/W1987288036","https://openalex.org/W2000659785","https://openalex.org/W2008052025","https://openalex.org/W2011301580","https://openalex.org/W2013688013","https://openalex.org/W2015882123","https://openalex.org/W2017370208","https://openalex.org/W2020148091","https://openalex.org/W2026619791","https://openalex.org/W2028776471","https://openalex.org/W2029125428","https://openalex.org/W2035916202","https://openalex.org/W2044418979","https://openalex.org/W2058270372","https://openalex.org/W2069922265","https://openalex.org/W2078225760","https://openalex.org/W2078410463","https://openalex.org/W2078419687","https://openalex.org/W2082693469","https://openalex.org/W2084795903","https://openalex.org/W2094706142","https://openalex.org/W2099111135","https://openalex.org/W2122552263","https://openalex.org/W2127769310","https://openalex.org/W2138050970","https://openalex.org/W2138412914","https://openalex.org/W2167475924","https://openalex.org/W2483375472","https://openalex.org/W2499179911","https://openalex.org/W2787959293","https://openalex.org/W3201154547","https://openalex.org/W4211052487","https://openalex.org/W4240465921","https://openalex.org/W4250501155","https://openalex.org/W4301223505"],"related_works":["https://openalex.org/W2082446734","https://openalex.org/W4313560640","https://openalex.org/W2253351617","https://openalex.org/W2065284654","https://openalex.org/W3121927021","https://openalex.org/W3215562268","https://openalex.org/W2021368388","https://openalex.org/W2000813003","https://openalex.org/W1974525074","https://openalex.org/W2742971749"],"abstract_inverted_index":{"In":[0],"this":[1,41],"paper,":[2],"by":[3,59],"the":[4,8,20,31,38,43,46,51],"critical":[5,61],"point":[6,62],"theory,":[7],"boundary":[9,53],"value":[10,54],"problem":[11,55],"is":[12,42,56],"discussed":[13],"for":[14],"a":[15],"fractional":[16,24,52],"differential":[17],"equation":[18],"containing":[19],"left":[21],"and":[22,27],"right":[23],"derivative":[25],"operators,":[26],"various":[28],"criteria":[29],"on":[30],"existence":[32,47],"of":[33,48],"solutions":[34,49],"are":[35],"obtained.":[36],"To":[37],"authors'":[39],"knowledge,":[40],"first":[44],"time,":[45],"to":[50],"dealt":[57],"with":[58],"using":[60],"theory.":[63]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":27},{"year":2019,"cited_by_count":17},{"year":2018,"cited_by_count":25},{"year":2017,"cited_by_count":18},{"year":2016,"cited_by_count":24},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":10},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}
