{"id":"https://openalex.org/W2968091047","doi":null,"title":"Some solution of the fractional iterative integro-differential equations","display_name":"Some solution of the fractional iterative integro-differential equations","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2968091047","mag":"2968091047"},"language":"en","primary_location":{"id":"pmh:oai:psasir.upm.edu.my:60253","doi":null,"is_oa":true,"landing_page_url":"http://psasir.upm.edu.my/id/eprint/60253/1/8.%20Adem.pdf","pdf_url":"http://psasir.upm.edu.my/id/eprint/60253/1/8.%20Adem.pdf","source":{"id":"https://openalex.org/S4377196260","display_name":"Universiti Putra Malaysia Institutional Repository (Universiti Putra Malaysia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I130343225","host_organization_name":"Universiti Putra Malaysia","host_organization_lineage":["https://openalex.org/I130343225"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://psasir.upm.edu.my/id/eprint/60253/1/8.%20Adem.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025569523","display_name":"Adem K\u0131l\u0131\u00e7man","orcid":"https://orcid.org/0000-0002-1217-963X","observed_orcids":["https://orcid.org/0000-0002-1217-963X","https://orcid.org/0000-0002-4538-3362"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Adem K\u0131l\u0131\u00e7man","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5071201018","display_name":"Faten H. Damag","orcid":"https://orcid.org/0009-0009-4773-7046","observed_orcids":["https://orcid.org/0009-0009-4773-7046"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Faten H. Damag","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0009-4773-7046","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6901,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.59931911,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"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":0.9833999872207642,"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":0.9833999872207642,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.00559999980032444,"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"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.004800000227987766,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fractional-integro-differential-equations","display_name":"fractional integro-differential equations","score":0.9909999966621399},{"id":"https://openalex.org/keywords/existence-and-uniqueness-of-solutions","display_name":"existence and uniqueness of solutions","score":0.9549999833106995},{"id":"https://openalex.org/keywords/nonexpansive-operators","display_name":"nonexpansive operators","score":0.9409999847412109},{"id":"https://openalex.org/keywords/fixed-point-theorems","display_name":"fixed point theorems","score":0.9570000171661377},{"id":"https://openalex.org/keywords/banach-fixed-point-theorem","display_name":"Banach fixed point theorem","score":0.9729999899864197},{"id":"https://openalex.org/keywords/schaefer-s-fixed-point-theorem","display_name":"Schaefer's fixed point theorem","score":0.9909999966621399},{"id":"https://openalex.org/keywords/riemann-liouville-fractional-derivative","display_name":"Riemann-Liouville fractional derivative","score":0.8880000114440918},{"id":"https://openalex.org/keywords/caputo-fractional-derivative","display_name":"Caputo fractional derivative","score":0.9229999780654907},{"id":"https://openalex.org/keywords/systems-of-integro-differential-equations","display_name":"systems of integro-differential equations","score":0.9549999833106995}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8206431865692139},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.6836404204368591},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6834376454353333},{"id":"https://openalex.org/C206929604","wikidata":"https://www.wikidata.org/wiki/Q530152","display_name":"Picard\u2013Lindel\u00f6f theorem","level":3,"score":0.5421695113182068},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.49543535709381104},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48633891344070435},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.47738927602767944},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46271368861198425},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.45144838094711304},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.4466778635978699},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.42054057121276855},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4129016399383545},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.12495607137680054},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:psasir.upm.edu.my:60253","doi":null,"is_oa":true,"landing_page_url":"http://psasir.upm.edu.my/id/eprint/60253/1/8.%20Adem.pdf","pdf_url":"http://psasir.upm.edu.my/id/eprint/60253/1/8.%20Adem.pdf","source":{"id":"https://openalex.org/S4377196260","display_name":"Universiti Putra Malaysia Institutional Repository (Universiti Putra Malaysia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I130343225","host_organization_name":"Universiti Putra Malaysia","host_organization_lineage":["https://openalex.org/I130343225"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"mag:2968091047","doi":null,"is_oa":false,"landing_page_url":"http://psasir.upm.edu.my/id/eprint/60253/","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:psasir.upm.edu.my:60253","doi":null,"is_oa":true,"landing_page_url":"http://psasir.upm.edu.my/id/eprint/60253/1/8.%20Adem.pdf","pdf_url":"http://psasir.upm.edu.my/id/eprint/60253/1/8.%20Adem.pdf","source":{"id":"https://openalex.org/S4377196260","display_name":"Universiti Putra Malaysia Institutional Repository (Universiti Putra Malaysia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I130343225","host_organization_name":"Universiti Putra Malaysia","host_organization_lineage":["https://openalex.org/I130343225"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2968091047.pdf","grobid_xml":"https://content.openalex.org/works/W2968091047.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W2266990400"],"related_works":["https://openalex.org/W2955160531","https://openalex.org/W3216715695","https://openalex.org/W3006406057","https://openalex.org/W7206199396","https://openalex.org/W2296994930","https://openalex.org/W4200192146","https://openalex.org/W2583274704","https://openalex.org/W3161806095","https://openalex.org/W1969660611","https://openalex.org/W2898728114"],"abstract_inverted_index":{"In":[0,71],"this":[1,72],"article,":[2],"we":[3,14,44,74],"focus":[4],"to":[5],"some":[6],"classes":[7],"of":[8,16,46,62],"fractional":[9,18],"iterative":[10,19,49],"integro-differential":[11,20,50],"equations.":[12],"Firstly,":[13],"interested":[15],"the":[17,26,33,47,60],"equations":[21,51],"including":[22],"derivatives":[23],"and":[24,28,37,52,55,66,77],"establish":[25],"existence":[27,54],"uniqueness":[29,56],"solutions":[30,57],"by":[31,58],"using":[32,59],"non-expansive":[34],"operators":[35],"theory":[36],"fixed":[38,64,68],"point":[39,65,69],"theorems.":[40],"The":[41],"second":[42],"studies,":[43],"concern":[45],"system":[48],"show":[53],"theorem":[61],"Banach":[63],"Schaefer":[67],"theorem.":[70],"study,":[73],"consider":[75],"Riemann-Liouville":[76],"Caputo":[78],"differential":[79],"operator,":[80],"further":[81],"provide":[82],"example":[83],"as":[84],"an":[85],"application.":[86]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2019-08-22T00:00:00"}