{"id":"https://openalex.org/W2888624858","doi":"https://doi.org/10.3390/sym10090358","title":"Positive Solutions for a Three-Point Boundary Value Problem of Fractional Q-Difference Equations","display_name":"Positive Solutions for a Three-Point Boundary Value Problem of Fractional Q-Difference Equations","publication_year":2018,"publication_date":"2018-08-23","ids":{"openalex":"https://openalex.org/W2888624858","doi":"https://doi.org/10.3390/sym10090358","mag":"2888624858"},"language":"en","primary_location":{"id":"doi:10.3390/sym10090358","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10090358","pdf_url":"https://www.mdpi.com/2073-8994/10/9/358/pdf?version=1535114397","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/2073-8994/10/9/358/pdf?version=1535114397","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073779229","display_name":"Chen Yang","orcid":"https://orcid.org/0000-0002-1731-2620"},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chen Yang","raw_affiliation_strings":["Basic Course Department, Business College of Shanxi University, Taiyuan 030031, China"],"raw_orcid":"https://orcid.org/0000-0002-1731-2620","affiliations":[{"raw_affiliation_string":"Basic Course Department, Business College of Shanxi University, Taiyuan 030031, China","institution_ids":["https://openalex.org/I181877577"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5073779229"],"corresponding_institution_ids":["https://openalex.org/I181877577"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":2.4234,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.88561122,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"10","issue":"9","first_page":"358","last_page":"358"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9994999766349792,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9983000159263611,"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/uniqueness","display_name":"Uniqueness","score":0.8197531700134277},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7953934669494629},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.730004608631134},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6292734742164612},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.5925581455230713},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5177004337310791},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5085543394088745},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4758859872817993},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4666841924190521},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.432587206363678},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.43225109577178955},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05284130573272705},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0508592426776886}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8197531700134277},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7953934669494629},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.730004608631134},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6292734742164612},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.5925581455230713},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5177004337310791},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5085543394088745},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4758859872817993},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4666841924190521},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.432587206363678},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.43225109577178955},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05284130573272705},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0508592426776886},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym10090358","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10090358","pdf_url":"https://www.mdpi.com/2073-8994/10/9/358/pdf?version=1535114397","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:a2dde3b84e964dd1a4383b847a9bdc69","is_oa":true,"landing_page_url":"https://doaj.org/article/a2dde3b84e964dd1a4383b847a9bdc69","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 10, Iss 9, p 358 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym10090358","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10090358","pdf_url":"https://www.mdpi.com/2073-8994/10/9/358/pdf?version=1535114397","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":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2888624858.pdf","grobid_xml":"https://content.openalex.org/works/W2888624858.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W591568057","https://openalex.org/W1986970088","https://openalex.org/W2007053853","https://openalex.org/W2010113930","https://openalex.org/W2012645584","https://openalex.org/W2037988012","https://openalex.org/W2044132057","https://openalex.org/W2061410331","https://openalex.org/W2062879726","https://openalex.org/W2069215340","https://openalex.org/W2074024269","https://openalex.org/W2102135715","https://openalex.org/W2119573410","https://openalex.org/W2125330224","https://openalex.org/W2127387863","https://openalex.org/W2135085561","https://openalex.org/W2137324547","https://openalex.org/W2148885158","https://openalex.org/W2156283568","https://openalex.org/W2168136168","https://openalex.org/W2275854971","https://openalex.org/W2321807852","https://openalex.org/W2517472791","https://openalex.org/W2602353229","https://openalex.org/W2613869632","https://openalex.org/W2765354628","https://openalex.org/W2790003264","https://openalex.org/W4250420999","https://openalex.org/W4254399411","https://openalex.org/W6661468487","https://openalex.org/W6832581950"],"related_works":["https://openalex.org/W2903488900","https://openalex.org/W2846516035","https://openalex.org/W4249977926","https://openalex.org/W2585118952","https://openalex.org/W2012141574","https://openalex.org/W1606221119","https://openalex.org/W3186847483","https://openalex.org/W2354765335","https://openalex.org/W3123504591","https://openalex.org/W2369544116"],"abstract_inverted_index":{"In":[0,37],"this":[1],"work,":[2],"a":[3],"three-point":[4],"boundary":[5],"value":[6],"problem":[7],"of":[8,32],"fractional":[9],"q-difference":[10],"equations":[11],"is":[12],"discussed.":[13],"By":[14],"using":[15],"fixed":[16],"point":[17],"theorems":[18],"on":[19],"mixed":[20],"monotone":[21],"operators,":[22],"some":[23,51],"sufficient":[24],"conditions":[25],"that":[26],"guarantee":[27],"the":[28,47,58],"existence":[29],"and":[30],"uniqueness":[31],"positive":[33],"solutions":[34],"are":[35,54],"given.":[36],"addition,":[38],"an":[39],"iterative":[40],"scheme":[41],"can":[42],"be":[43],"made":[44],"to":[45,56],"approximate":[46],"unique":[48],"solution.":[49],"Finally,":[50],"interesting":[52],"examples":[53],"provided":[55],"illustrate":[57],"main":[59],"results.":[60]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
