{"id":"https://openalex.org/W3037353574","doi":"https://doi.org/10.3390/axioms9020070","title":"Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value Problems","display_name":"Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value Problems","publication_year":2020,"publication_date":"2020-06-24","ids":{"openalex":"https://openalex.org/W3037353574","doi":"https://doi.org/10.3390/axioms9020070","mag":"3037353574"},"language":"en","primary_location":{"id":"doi:10.3390/axioms9020070","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms9020070","pdf_url":"https://www.mdpi.com/2075-1680/9/2/70/pdf?version=1593507143","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/2075-1680/9/2/70/pdf?version=1593507143","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077672620","display_name":"Bashir Ahmad","orcid":"https://orcid.org/0000-0001-5350-2977"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Bashir Ahmad","raw_affiliation_strings":["Nonlinear Analysis and Applied Mathematics (NAAM), Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Nonlinear Analysis and Applied Mathematics (NAAM), Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089076680","display_name":"Najla Alghamdi","orcid":"https://orcid.org/0000-0002-2784-7151"},"institutions":[{"id":"https://openalex.org/I4210099699","display_name":"Jeddah University","ror":"https://ror.org/015ya8798","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210099699"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Najla Alghamdi","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I4210099699"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108681726","display_name":"Ahmed Alsaedi","orcid":"https://orcid.org/0000-0003-3452-8922"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Ahmed Alsaedi","raw_affiliation_strings":["Nonlinear Analysis and Applied Mathematics (NAAM), Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Nonlinear Analysis and Applied Mathematics (NAAM), Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086599287","display_name":"Sotiris K. Ntouyas","orcid":"https://orcid.org/0000-0002-7695-2118"},"institutions":[{"id":"https://openalex.org/I194019607","display_name":"University of Ioannina","ror":"https://ror.org/01qg3j183","country_code":"GR","type":"education","lineage":["https://openalex.org/I194019607"]},{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["GR","SA"],"is_corresponding":true,"raw_author_name":"Sotiris K. Ntouyas","raw_affiliation_strings":["Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece","Nonlinear Analysis and Applied Mathematics (NAAM), Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece","institution_ids":["https://openalex.org/I194019607"]},{"raw_affiliation_string":"Nonlinear Analysis and Applied Mathematics (NAAM), Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5086599287"],"corresponding_institution_ids":["https://openalex.org/I185163786","https://openalex.org/I194019607"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.2915,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.47998021,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"9","issue":"2","first_page":"70","last_page":"70"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9997000098228455,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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":0.8278865814208984},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.724919319152832},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6721133589744568},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6686491370201111},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5826014280319214},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.5728880167007446},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5322577357292175},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5095679759979248},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.508250892162323},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5014700889587402},{"id":"https://openalex.org/keywords/multi-point","display_name":"Multi point","score":0.4965582489967346},{"id":"https://openalex.org/keywords/fixed-point-index","display_name":"Fixed-point index","score":0.4940476715564728},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4780038893222809},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18090671300888062},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0919581949710846},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05112394690513611},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.04553133249282837}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8278865814208984},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.724919319152832},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6721133589744568},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6686491370201111},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5826014280319214},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.5728880167007446},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5322577357292175},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5095679759979248},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.508250892162323},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5014700889587402},{"id":"https://openalex.org/C3020050198","wikidata":"https://www.wikidata.org/wiki/Q6935027","display_name":"Multi point","level":2,"score":0.4965582489967346},{"id":"https://openalex.org/C2780668686","wikidata":"https://www.wikidata.org/wiki/Q5456324","display_name":"Fixed-point index","level":3,"score":0.4940476715564728},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4780038893222809},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18090671300888062},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0919581949710846},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05112394690513611},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.04553133249282837},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms9020070","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms9020070","pdf_url":"https://www.mdpi.com/2075-1680/9/2/70/pdf?version=1593507143","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:391702161c0e400baa86df7d0aacaffd","is_oa":true,"landing_page_url":"https://doaj.org/article/391702161c0e400baa86df7d0aacaffd","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"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 9, Iss 2, p 70 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/9/2/70/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms9020070","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 9; Issue 2; Pages: 70","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms9020070","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms9020070","pdf_url":"https://www.mdpi.com/2075-1680/9/2/70/pdf?version=1593507143","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":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3037353574.pdf","grobid_xml":"https://content.openalex.org/works/W3037353574.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W604143053","https://openalex.org/W833693987","https://openalex.org/W1528987510","https://openalex.org/W1584611818","https://openalex.org/W1999216164","https://openalex.org/W2083559699","https://openalex.org/W2129531048","https://openalex.org/W2191053273","https://openalex.org/W2267786537","https://openalex.org/W2399530360","https://openalex.org/W2491815700","https://openalex.org/W2595653665","https://openalex.org/W2727630517","https://openalex.org/W2792878914","https://openalex.org/W2903328593","https://openalex.org/W2921381679","https://openalex.org/W2945489324","https://openalex.org/W2957261149","https://openalex.org/W2966824286","https://openalex.org/W2981235917","https://openalex.org/W2985982078","https://openalex.org/W2993887792","https://openalex.org/W3009703339","https://openalex.org/W3106249201","https://openalex.org/W4233616901","https://openalex.org/W4236165936","https://openalex.org/W6765358437","https://openalex.org/W6769530244","https://openalex.org/W6874949036"],"related_works":["https://openalex.org/W2369182459","https://openalex.org/W1968728554","https://openalex.org/W1851192643","https://openalex.org/W3095334140","https://openalex.org/W1998737480","https://openalex.org/W2039477570","https://openalex.org/W2351981154","https://openalex.org/W2364478134","https://openalex.org/W1754770467","https://openalex.org/W2370034250"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"discuss":[4],"the":[5,36,39,43],"existence":[6],"and":[7,17],"uniqueness":[8],"of":[9,15,22,38,45],"solutions":[10],"for":[11],"a":[12],"new":[13],"class":[14],"multi-point":[16],"integral":[18],"boundary":[19],"value":[20],"problems":[21],"multi-term":[23],"fractional":[24],"differential":[25],"equations":[26],"by":[27],"using":[28],"standard":[29],"fixed":[30],"point":[31],"theorems.":[32],"We":[33],"also":[34],"demonstrate":[35],"application":[37],"obtained":[40],"results":[41],"with":[42],"aid":[44],"examples.":[46]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
