{"id":"https://openalex.org/W3205984871","doi":"https://doi.org/10.3390/axioms10040264","title":"On Periodic Fractional (p, q)-Integral Boundary Value Problems for Sequential Fractional (p, q)-Integrodifference Equations","display_name":"On Periodic Fractional (p, q)-Integral Boundary Value Problems for Sequential Fractional (p, q)-Integrodifference Equations","publication_year":2021,"publication_date":"2021-10-19","ids":{"openalex":"https://openalex.org/W3205984871","doi":"https://doi.org/10.3390/axioms10040264","mag":"3205984871"},"language":"en","primary_location":{"id":"doi:10.3390/axioms10040264","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms10040264","pdf_url":"https://www.mdpi.com/2075-1680/10/4/264/pdf?version=1636008704","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/10/4/264/pdf?version=1636008704","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019296026","display_name":"Jarunee Soontharanon","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":false,"raw_author_name":"Jarunee Soontharanon","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":2,"corresponding_author_ids":["https://openalex.org/A5065323596"],"corresponding_institution_ids":["https://openalex.org/I4210097440"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0913,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.40433306,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"10","issue":"4","first_page":"264","last_page":"264"},"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":0.9988999962806702,"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":0.7423629760742188},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5975285172462463},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.5855263471603394},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5625980496406555},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5582519769668579},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.5259409546852112},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.41888028383255005}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7423629760742188},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5975285172462463},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.5855263471603394},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5625980496406555},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5582519769668579},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.5259409546852112},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.41888028383255005},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms10040264","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms10040264","pdf_url":"https://www.mdpi.com/2075-1680/10/4/264/pdf?version=1636008704","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:cdf8633990f649bbaa3f0140ccae03a6","is_oa":true,"landing_page_url":"https://doaj.org/article/cdf8633990f649bbaa3f0140ccae03a6","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":"Axioms, Vol 10, Iss 4, p 264 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/10/4/264/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms10040264","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":"Axioms; Volume 10; Issue 4; Pages: 264","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms10040264","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms10040264","pdf_url":"https://www.mdpi.com/2075-1680/10/4/264/pdf?version=1636008704","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7181585872","display_name":null,"funder_award_id":"KMUTNB-62-KNOW-22","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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3205984871.pdf","grobid_xml":"https://content.openalex.org/works/W3205984871.grobid-xml"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W339147017","https://openalex.org/W566543047","https://openalex.org/W1983003052","https://openalex.org/W1986475496","https://openalex.org/W1991020492","https://openalex.org/W2001230513","https://openalex.org/W2036594335","https://openalex.org/W2043547535","https://openalex.org/W2085620964","https://openalex.org/W2094705351","https://openalex.org/W2119573410","https://openalex.org/W2127712795","https://openalex.org/W2148885158","https://openalex.org/W2326886507","https://openalex.org/W2563039309","https://openalex.org/W2766512039","https://openalex.org/W2790013524","https://openalex.org/W2804295780","https://openalex.org/W2902717265","https://openalex.org/W2922490385","https://openalex.org/W2932562819","https://openalex.org/W2941149528","https://openalex.org/W2946698258","https://openalex.org/W2962753569","https://openalex.org/W2963059954","https://openalex.org/W2963103191","https://openalex.org/W2963342781","https://openalex.org/W2974684023","https://openalex.org/W2987748583","https://openalex.org/W3030308006","https://openalex.org/W3031336767","https://openalex.org/W3042044512","https://openalex.org/W3100761781","https://openalex.org/W3102088059","https://openalex.org/W3103947173","https://openalex.org/W3121255928","https://openalex.org/W3132227104","https://openalex.org/W3138238039","https://openalex.org/W3176488923","https://openalex.org/W3194987398","https://openalex.org/W3201188940","https://openalex.org/W4235093837","https://openalex.org/W4240644230","https://openalex.org/W4300631328","https://openalex.org/W6611610377","https://openalex.org/W6704089685","https://openalex.org/W6721642137","https://openalex.org/W6745472209","https://openalex.org/W6751857298","https://openalex.org/W6765616663","https://openalex.org/W6770020831"],"related_works":["https://openalex.org/W2082446734","https://openalex.org/W4313560640","https://openalex.org/W2253351617","https://openalex.org/W4246784705","https://openalex.org/W3121927021","https://openalex.org/W2031561209","https://openalex.org/W4390948881","https://openalex.org/W1607068974","https://openalex.org/W2021368388","https://openalex.org/W2035671297"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2],"existence":[3],"results":[4],"of":[5,28],"a":[6,38],"fractional":[7,13],"(p,":[8,14,29],"q)-integrodifference":[9],"equation":[10],"with":[11],"periodic":[12],"q)-integral":[15,30],"boundary":[16],"condition":[17],"by":[18],"using":[19],"Banach":[20],"and":[21],"Schauder\u2019s":[22],"fixed":[23],"point":[24],"theorems.":[25],"Some":[26],"properties":[27],"are":[31],"also":[32],"presented":[33],"in":[34],"this":[35],"paper":[36],"as":[37],"tool":[39],"for":[40],"our":[41],"calculations.":[42]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
