{"id":"https://openalex.org/W7224908892","doi":"https://doi.org/10.5281/zenodo.23800539","title":"SOME NOTES ON FRACTIONAL DIFFERENTIAL EQUATIONS","display_name":"SOME NOTES ON FRACTIONAL DIFFERENTIAL EQUATIONS","publication_year":2025,"publication_date":"2025-08-01","ids":{"openalex":"https://openalex.org/W7224908892","doi":"https://doi.org/10.5281/zenodo.23800539"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23800539","doi":"https://doi.org/10.5281/zenodo.23800539","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23800539","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"ConferenceProceeding"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23800539","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063026276","display_name":"Hakan Ad\u0131g\u00fczel","orcid":"https://orcid.org/0000-0002-8948-806X","observed_orcids":["https://orcid.org/0000-0002-8948-806X"]},"institutions":[{"id":"https://openalex.org/I4387154643","display_name":"Sakarya Uygulamal\u0131 Bilimler \u00dcniversitesi","ror":"https://ror.org/01shwhq58","country_code":"TR","type":"education","lineage":["https://openalex.org/I4387154643"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Adiguzel, Hakan","raw_affiliation_strings":["Sakarya University of Applied Sciences"],"raw_orcid":"https://orcid.org/0000-0002-8948-806X","affiliations":[{"raw_affiliation_string":"Sakarya University of Applied Sciences","institution_ids":["https://openalex.org/I4387154643"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016113552","display_name":"Engin Can","orcid":"https://orcid.org/0000-0002-4105-6460","observed_orcids":["https://orcid.org/0000-0002-4105-6460"]},"institutions":[{"id":"https://openalex.org/I4387154643","display_name":"Sakarya Uygulamal\u0131 Bilimler \u00dcniversitesi","ror":"https://ror.org/01shwhq58","country_code":"TR","type":"education","lineage":["https://openalex.org/I4387154643"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Can, Engin","raw_affiliation_strings":["Sakarya Uygulamal\u0131 Bilimler \u00dcniversitesi"],"raw_orcid":"https://orcid.org/0000-0002-4105-6460","affiliations":[{"raw_affiliation_string":"Sakarya Uygulamal\u0131 Bilimler \u00dcniversitesi","institution_ids":["https://openalex.org/I4387154643"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4387154643"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9961000084877014,"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":0.9961000084877014,"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":0.0034000000450760126,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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-differential-equations","display_name":"fractional differential equations","score":1.0}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7268000245094299},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6549000144004822},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5655999779701233},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5641000270843506},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5328999757766724},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48539999127388},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.461899995803833},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.4350999891757965},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4189000129699707},{"id":"https://openalex.org/C3018587665","wikidata":"https://www.wikidata.org/wiki/Q7268696","display_name":"Qualitative analysis","level":3,"score":0.37869998812675476},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.37310001254081726},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2896000146865845},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.28189998865127563},{"id":"https://openalex.org/C84629840","wikidata":"https://www.wikidata.org/wiki/Q16979017","display_name":"Stochastic partial differential equation","level":3,"score":0.2630000114440918}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23800539","doi":"https://doi.org/10.5281/zenodo.23800539","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23800539","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"ConferenceProceeding"},{"id":"doi:10.5281/zenodo.23800540","doi":"https://doi.org/10.5281/zenodo.23800540","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23800540","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"ConferenceProceeding"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23800539","doi":"https://doi.org/10.5281/zenodo.23800539","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23800539","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"ConferenceProceeding"},"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/W6968266435","https://openalex.org/W2223419332","https://openalex.org/W7155608169","https://openalex.org/W7162419984","https://openalex.org/W7081633108","https://openalex.org/W7170075965","https://openalex.org/W6949726506","https://openalex.org/W2769208725","https://openalex.org/W2595089480","https://openalex.org/W7080006682"],"abstract_inverted_index":{"Fractional":[0],"differential":[1,9,105,151],"equations":[2,27,161],"are":[3,14,162],"an":[4,70,131],"extension":[5],"of":[6,15,35,59,79,89,117,141,148],"classical":[7],"integer-order":[8],"equations,":[10],"where":[11,21],"the":[12,33,51,76,87,138,142,145],"derivatives":[13],"non-integer":[16],"order,typically":[17],"denoted":[18],"as":[19,42,113,130],"\u03b1,":[20],"0<\u03b1<1":[22],"or":[23],"\u03b1":[24],">1.":[25],"These":[26],"have":[28,66],"become":[29],"increasingly":[30],"important":[31,132],"in":[32,39,62,72,154],"modeling":[34],"complex":[36],"real-world":[37],"systems,particularly":[38],"fields":[40],"such":[41,112],"physics,":[43],"engineering,":[44],"biology,":[45],"and":[46,115,156],"economics.":[47],"However,":[48],"due":[49],"to":[50,53,68,75,85,93],"inability":[52],"find":[54,94],"analytical":[55],"solutions":[56,90],"for":[57,102,159],"most":[58],"theequations":[60],"encountered":[61],"these":[63,80,123,160],"fields,":[64],"researchers":[65,84],"begun":[67],"take":[69],"interest":[71],"questions":[73],"related":[74],"qualitative":[77,124],"properties":[78,111],"equations.Qualitative":[81],"analysis":[82],"allows":[83],"understand":[86],"behavior":[88,127,140,147],"without":[91],"needing":[92],"explicit":[95],"solutions,":[96],"which":[97],"may":[98],"be":[99],"difficult":[100],"orimpossible":[101],"many":[103],"fractional":[104,150],"equations.":[106,143],"This":[107],"approach":[108],"includes":[109],"investigating":[110],"existence":[114],"uniqueness":[116],"solutions,stability,":[118],"boundedness,":[119],"oscillations,":[120],"etc.":[121],"Among":[122],"properties,":[125],"oscillatory":[126,139,146],"stands":[128],"out":[129],"characteristic.Therefore,":[133],"this":[134],"study":[135],"focuses":[136],"on":[137],"First,":[144],"nonlinear":[149],"equationsis":[152],"examined":[153],"detail,":[155],"several":[157],"theorems":[158],"presented.":[163]},"counts_by_year":[],"updated_date":"2026-11-13T13:42:25.865203","created_date":"2026-10-31T00:00:00"}
