{"id":"https://openalex.org/W7217543999","doi":null,"title":"The spectral theory of fractional Sturm-Liouville problems","display_name":"The spectral theory of fractional Sturm-Liouville problems","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W7217543999"},"language":"tr","primary_location":{"id":"pmh:oai:openaccess.firat.edu.tr:11508/20808","doi":null,"is_oa":true,"landing_page_url":"https://tez.yok.gov.tr/UlusalTezMerkezi/TezGoster?key=DPTyuy3wRPq_qvCPSqUB696ZUzsltv5bkk8wqXIP-kAsRSEuXkXXfu-yugDdID8c","pdf_url":null,"source":{"id":"https://openalex.org/S4377196733","display_name":"DSpace - FIRAT (F\u0131rat University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I143396566","host_organization_name":"F\u0131rat University","host_organization_lineage":["https://openalex.org/I143396566"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Doctoral Thesis"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://tez.yok.gov.tr/UlusalTezMerkezi/TezGoster?key=DPTyuy3wRPq_qvCPSqUB696ZUzsltv5bkk8wqXIP-kAsRSEuXkXXfu-yugDdID8c","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004946903","display_name":"Funda Metin T\u00fcrk","orcid":"https://orcid.org/0000-0003-1626-5217","observed_orcids":["https://orcid.org/0000-0003-1626-5217"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"T\u00dcRK, FUNDA MET\u0130N","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5004946903"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.6812000274658203,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.6812000274658203,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.20669999718666077,"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":0.06840000301599503,"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/fractional-sturm-liouville-problem","display_name":"fractional Sturm-Liouville problem","score":0.9399999976158142},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"fractional calculus","score":0.8119999766349792},{"id":"https://openalex.org/keywords/spectral-theory","display_name":"spectral theory","score":0.8759999871253967},{"id":"https://openalex.org/keywords/diffusion-operator","display_name":"diffusion operator","score":0.8399999737739563},{"id":"https://openalex.org/keywords/coulomb-potential","display_name":"Coulomb potential","score":0.9890000224113464},{"id":"https://openalex.org/keywords/p-laplacian","display_name":"p-Laplacian","score":0.8410000205039978},{"id":"https://openalex.org/keywords/existence-of-solutions","display_name":"existence of solutions","score":0.8859999775886536},{"id":"https://openalex.org/keywords/schaefer-s-fixed-point-theorem","display_name":"Schaefer's fixed point theorem","score":0.9390000104904175}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7017999887466431},{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.4408999979496002},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33880001306533813},{"id":"https://openalex.org/C2983668108","wikidata":"https://www.wikidata.org/wiki/Q280453","display_name":"Spectral analysis","level":3,"score":0.30889999866485596},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.30820000171661377},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.302700012922287},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.24690000712871552},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.23720000684261322},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21570000052452087},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21060000360012054}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:openaccess.firat.edu.tr:11508/20808","doi":null,"is_oa":true,"landing_page_url":"https://tez.yok.gov.tr/UlusalTezMerkezi/TezGoster?key=DPTyuy3wRPq_qvCPSqUB696ZUzsltv5bkk8wqXIP-kAsRSEuXkXXfu-yugDdID8c","pdf_url":null,"source":{"id":"https://openalex.org/S4377196733","display_name":"DSpace - FIRAT (F\u0131rat University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I143396566","host_organization_name":"F\u0131rat University","host_organization_lineage":["https://openalex.org/I143396566"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Doctoral Thesis"}],"best_oa_location":{"id":"pmh:oai:openaccess.firat.edu.tr:11508/20808","doi":null,"is_oa":true,"landing_page_url":"https://tez.yok.gov.tr/UlusalTezMerkezi/TezGoster?key=DPTyuy3wRPq_qvCPSqUB696ZUzsltv5bkk8wqXIP-kAsRSEuXkXXfu-yugDdID8c","pdf_url":null,"source":{"id":"https://openalex.org/S4377196733","display_name":"DSpace - FIRAT (F\u0131rat University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I143396566","host_organization_name":"F\u0131rat University","host_organization_lineage":["https://openalex.org/I143396566"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Doctoral Thesis"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3160928729","https://openalex.org/W7043485236","https://openalex.org/W7216948618","https://openalex.org/W6997258244","https://openalex.org/W7020174486","https://openalex.org/W7217437715","https://openalex.org/W2109183118","https://openalex.org/W7218096949","https://openalex.org/W3171759292","https://openalex.org/W7217239781"],"abstract_inverted_index":{"Bu":[0],"tez":[1],"be\u015f":[2],"b\u00f6l\u00fcmden":[3],"olu\u015fmaktad\u0131r.":[4,102],"Birinci":[5,103],"b\u00f6l\u00fcmde,":[6,23,36,54],"kesirli":[7,24,58,68,88,111,132],"hesaplamalar":[8],"ve":[9,17,26,32,40,75],"spektral":[10,43,62,72],"teori":[11],"ile":[12],"ilgili":[13,76],"genel":[14],"bilgiler,":[15],"tarih\u00e7e":[16],"uygulamalar\u0131":[18],"hakk\u0131nda":[19,29],"bilgiler":[20],"verilmi\u015ftir.":[21,34],"\u0130kinci":[22],"analiz":[25],"Sturm-Liouville":[27,37,41,69,112,133],"teorisi":[28,38],"temel":[30],"tan\u0131m":[31],"teoremler":[33],"\u00dc\u00e7\u00fcnc\u00fc":[35],"tan\u0131t\u0131lm\u0131\u015f":[39],"probleminin":[42,113,134],"\u00f6zellikleri":[44,63,73],"incelenmi\u015ftir.":[45,64],"Son":[46],"iki":[47,100],"b\u00f6l\u00fcm":[48,98],"tezin":[49],"orijinal":[50],"k\u0131sm\u0131n\u0131":[51],"olu\u015fturmaktad\u0131r.":[52],"D\u00f6rd\u00fcnc\u00fc":[53],"dif\u00fczyon":[55,108,128],"operat\u00f6r\u00fc":[56,60,70,91,109,129],"i\u00e7in":[57,67,92,110,130],"Sturm-Louville":[59],"tan\u0131mlanarak":[61,71],"Coulomb":[65],"potansiyeli":[66],"incelenmi\u015f":[74],"teoremlerin":[77],"ispatlar\u0131":[78],"detayl\u0131":[79],"bir":[80],"\u015fekilde":[81],"yap\u0131lm\u0131\u015ft\u0131r.":[82],"Ayr\u0131ca":[83],"hidrojen":[84],"atom":[85],"potansiyeline":[86],"sahip":[87],"Sturm-":[89],"Liouville":[90],"benzer":[93],"sonu\u00e7lar":[94],"elde":[95],"edilmi\u015ftir.":[96],"Be\u015finci":[97],"ise":[99,124],"k\u0131s\u0131mdan":[101],"k\u0131sm\u0131nda":[104],"impulsive":[105,125],"\u015fartlar\u0131":[106,126],"alt\u0131nda":[107,127],"\u00e7\u00f6z\u00fcm\u00fcn\u00fcn":[114,135],"varl\u0131\u011f\u0131":[115,136],"Schaefer":[116,137],"sabit":[117,138],"nokta":[118,139],"teoremi":[119,140],"kullan\u0131larak":[120,141],"ispatlanm\u0131\u015ft\u0131r.":[121,142],"\u00b7\u0130kinci":[122],"k\u0131s\u0131mda":[123],"p-Laplasiyan":[131]},"counts_by_year":[],"updated_date":"2026-10-04T09:36:47.201465","created_date":"2026-10-03T00:00:00"}