{"id":"https://openalex.org/W3211577167","doi":"https://doi.org/10.3390/sym13112174","title":"Existence Results of a Nonlocal Fractional Symmetric Hahn Integrodifference Boundary Value Problem","display_name":"Existence Results of a Nonlocal Fractional Symmetric Hahn Integrodifference Boundary Value Problem","publication_year":2021,"publication_date":"2021-11-12","ids":{"openalex":"https://openalex.org/W3211577167","doi":"https://doi.org/10.3390/sym13112174","mag":"3211577167"},"language":"en","primary_location":{"id":"doi:10.3390/sym13112174","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13112174","pdf_url":"https://www.mdpi.com/2073-8994/13/11/2174/pdf?version=1636937116","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/2073-8994/13/11/2174/pdf?version=1636937116","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068007852","display_name":"Rujira Ouncharoen","orcid":"https://orcid.org/0000-0002-6275-628X"},"institutions":[{"id":"https://openalex.org/I48076826","display_name":"Chiang Mai University","ror":"https://ror.org/05m2fqn25","country_code":"TH","type":"education","lineage":["https://openalex.org/I48076826"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Rujira Ouncharoen","raw_affiliation_strings":["Research Group in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Group in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand","institution_ids":["https://openalex.org/I48076826"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008941746","display_name":"Nichaphat Patanarapeelert","orcid":null},"institutions":[{"id":"https://openalex.org/I82828225","display_name":"King Mongkut's University of Technology North Bangkok","ror":"https://ror.org/04fy6jb97","country_code":"TH","type":"education","lineage":["https://openalex.org/I82828225"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Nichaphat Patanarapeelert","raw_affiliation_strings":["Department of Mathematics, Faculty of Applied Science, King Mongkut\u2019s University of Technology North Bangkok, Bangkok 10800, Thailand","Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Applied Science, King Mongkut\u2019s University of Technology North Bangkok, Bangkok 10800, Thailand","institution_ids":["https://openalex.org/I82828225"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand","institution_ids":["https://openalex.org/I82828225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065323596","display_name":"Thanin Sitthiwirattham","orcid":"https://orcid.org/0000-0002-8455-1402"},"institutions":[{"id":"https://openalex.org/I4210097440","display_name":"Suan Dusit University","ror":"https://ror.org/00x7vzk16","country_code":"TH","type":"education","lineage":["https://openalex.org/I4210097440"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Thanin Sitthiwirattham","raw_affiliation_strings":["Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, Thailand"],"raw_orcid":"https://orcid.org/0000-0002-8455-1402","affiliations":[{"raw_affiliation_string":"Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, Thailand","institution_ids":["https://openalex.org/I4210097440"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008941746","https://openalex.org/A5065323596"],"corresponding_institution_ids":["https://openalex.org/I4210097440","https://openalex.org/I82828225"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12788184,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"11","first_page":"2174","last_page":"2174"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9977999925613403,"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":0.8265663981437683},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.6114934086799622},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6059932708740234},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5843369364738464},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5199636220932007},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4925325810909271},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4837634563446045},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4821619391441345},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4307671785354614},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34354257583618164},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07440698146820068}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8265663981437683},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.6114934086799622},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6059932708740234},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5843369364738464},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5199636220932007},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4925325810909271},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4837634563446045},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4821619391441345},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4307671785354614},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34354257583618164},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07440698146820068},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym13112174","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13112174","pdf_url":"https://www.mdpi.com/2073-8994/13/11/2174/pdf?version=1636937116","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:ed8543367a904543a1caaf5111ea842e","is_oa":true,"landing_page_url":"https://doaj.org/article/ed8543367a904543a1caaf5111ea842e","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 11, p 2174 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/13/11/2174/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym13112174","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/sym13112174","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13112174","pdf_url":"https://www.mdpi.com/2073-8994/13/11/2174/pdf?version=1636937116","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":[{"id":"https://openalex.org/G5925030292","display_name":null,"funder_award_id":"KMUTNB-62-KNOW-27","funder_id":"https://openalex.org/F4320324344","funder_display_name":"King Mongkut's University of Technology North Bangkok"}],"funders":[{"id":"https://openalex.org/F4320324344","display_name":"King Mongkut's University of Technology North Bangkok","ror":"https://ror.org/04fy6jb97"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3211577167.pdf","grobid_xml":"https://content.openalex.org/works/W3211577167.grobid-xml"},"referenced_works_count":53,"referenced_works":["https://openalex.org/W927804611","https://openalex.org/W1960583968","https://openalex.org/W1986475496","https://openalex.org/W1995863087","https://openalex.org/W2001230513","https://openalex.org/W2011935783","https://openalex.org/W2015507266","https://openalex.org/W2036146384","https://openalex.org/W2040182226","https://openalex.org/W2043547535","https://openalex.org/W2044233925","https://openalex.org/W2056363357","https://openalex.org/W2056463260","https://openalex.org/W2085620964","https://openalex.org/W2094705351","https://openalex.org/W2115941077","https://openalex.org/W2116706197","https://openalex.org/W2119573410","https://openalex.org/W2119857121","https://openalex.org/W2127712795","https://openalex.org/W2148885158","https://openalex.org/W2326886507","https://openalex.org/W2343401604","https://openalex.org/W2506586217","https://openalex.org/W2510611020","https://openalex.org/W2625561745","https://openalex.org/W2626755153","https://openalex.org/W2766512039","https://openalex.org/W2775155692","https://openalex.org/W2783215727","https://openalex.org/W2794664653","https://openalex.org/W2807019681","https://openalex.org/W2906041266","https://openalex.org/W2946060714","https://openalex.org/W2952874523","https://openalex.org/W2971811202","https://openalex.org/W2974684023","https://openalex.org/W3015985338","https://openalex.org/W3030308006","https://openalex.org/W3100761781","https://openalex.org/W3102088059","https://openalex.org/W3103280851","https://openalex.org/W3104350396","https://openalex.org/W3121255928","https://openalex.org/W3202656222","https://openalex.org/W3204609115","https://openalex.org/W4206290559","https://openalex.org/W4235093837","https://openalex.org/W4244655494","https://openalex.org/W6624507053","https://openalex.org/W6641003887","https://openalex.org/W6802173645","https://openalex.org/W6802549652"],"related_works":["https://openalex.org/W2846516035","https://openalex.org/W4249977926","https://openalex.org/W2585118952","https://openalex.org/W2012141574","https://openalex.org/W1606221119","https://openalex.org/W2354765335","https://openalex.org/W3123504591","https://openalex.org/W2369544116","https://openalex.org/W1691643469","https://openalex.org/W2985828462"],"abstract_inverted_index":{"The":[0],"existence":[1,72],"of":[2,4,19,32,51,74,79],"solutions":[3],"nonlocal":[5],"fractional":[6,21,28],"symmetric":[7,22,29],"Hahn":[8,23,30],"integrodifference":[9],"boundary":[10],"value":[11],"problem":[12,18,40,45],"is":[13,59,96],"studied.":[14],"We":[15,35],"propose":[16],"a":[17,42,48,88],"five":[20],"difference":[24],"operators":[25],"and":[26,62],"three":[27],"integrals":[31],"different":[33],"orders.":[34],"first":[36],"convert":[37],"our":[38,75,91],"nonlinear":[39],"into":[41],"fixed":[43,56,64],"point":[44,57,65],"by":[46],"considering":[47],"linear":[49],"variant":[50],"the":[52,55,71,101],"problem.":[53,76],"When":[54],"operator":[58],"available,":[60],"Banach":[61],"Schauder\u2019s":[63],"theorems":[66],"are":[67,81],"used":[68],"to":[69,99],"prove":[70],"results":[73],"Some":[77],"properties":[78],"(q,\u03c9)-integral":[80],"also":[82,97],"presented":[83],"in":[84],"this":[85],"paper":[86],"as":[87],"tool":[89],"for":[90],"calculations.":[92],"Finally,":[93],"an":[94],"example":[95],"constructed":[98],"illustrate":[100],"main":[102],"results.":[103]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}