{"id":"https://openalex.org/W2043931015","doi":"https://doi.org/10.5120/19857-1801","title":"Numerical Approach for Solving Fractional Pantograph Equation","display_name":"Numerical Approach for Solving Fractional Pantograph Equation","publication_year":2015,"publication_date":"2015-03-18","ids":{"openalex":"https://openalex.org/W2043931015","doi":"https://doi.org/10.5120/19857-1801","mag":"2043931015"},"language":"en","primary_location":{"id":"doi:10.5120/19857-1801","doi":"https://doi.org/10.5120/19857-1801","is_oa":true,"landing_page_url":"https://doi.org/10.5120/19857-1801","pdf_url":"https://doi.org/10.5120/19857-1801","source":{"id":"https://openalex.org/S4210206007","display_name":"International Journal of Computer Applications","issn_l":"0975-8887","issn":["0975-8887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4322545532","host_organization_name":"Foundation of Computer Science","host_organization_lineage":["https://openalex.org/P4322545532"],"host_organization_lineage_names":["Foundation of Computer Science"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Applications","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.5120/19857-1801","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044540271","display_name":"Ay\u015fe Anapal\u0131","orcid":"https://orcid.org/0000-0002-0198-1862","observed_orcids":["https://orcid.org/0000-0002-0198-1862"]},"institutions":[{"id":"https://openalex.org/I79946792","display_name":"Mu\u011fla University","ror":"https://ror.org/05n2cz176","country_code":"TR","type":"education","lineage":["https://openalex.org/I79946792"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Ayse Anapali","raw_affiliation_strings":["Department of Mathematics Mugla S\u0131tk\u0131 Ko\u00e7man University Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Mugla S\u0131tk\u0131 Ko\u00e7man University Turkey","institution_ids":["https://openalex.org/I79946792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069566756","display_name":"Yal\u00e7\u0131n \u00d6zt\u00fcrk","orcid":"https://orcid.org/0000-0002-4142-5633","observed_orcids":["https://orcid.org/0000-0002-4142-5633"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yal\u00e7in \u00d6zt\u00fcrk","raw_affiliation_strings":["Ko\u00e7man Vocational School Turkey","Vocational School Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ko\u00e7man Vocational School Turkey","institution_ids":[]},{"raw_affiliation_string":"Vocational School Turkey","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084660006","display_name":"Mustafa G\u00fclsu","orcid":"https://orcid.org/0000-0001-6139-0266","observed_orcids":["https://orcid.org/0000-0001-6139-0266"]},"institutions":[{"id":"https://openalex.org/I79946792","display_name":"Mu\u011fla University","ror":"https://ror.org/05n2cz176","country_code":"TR","type":"education","lineage":["https://openalex.org/I79946792"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Mustafa G\u00fclsu","raw_affiliation_strings":["Department of Mathematics Mugla S\u0131tk\u0131 Ko\u00e7man University Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Mugla S\u0131tk\u0131 Ko\u00e7man University Turkey","institution_ids":["https://openalex.org/I79946792"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6808,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.69101124,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":96},"biblio":{"volume":"113","issue":"9","first_page":"45","last_page":"52"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.6317999958992004,"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":0.6317999958992004,"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/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.32030001282691956,"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"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.014800000004470348,"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/nonlinear-algebraic-equations","display_name":"nonlinear algebraic equations","score":0.7160000205039978},{"id":"https://openalex.org/keywords/numerical-solution-of-fractional-differential-equations","display_name":"numerical solution of fractional differential equations","score":0.8849999904632568}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8355720043182373},{"id":"https://openalex.org/C20756127","wikidata":"https://www.wikidata.org/wiki/Q722757","display_name":"Pantograph","level":2,"score":0.8153113126754761},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4075213074684143},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.10103821754455566},{"id":"https://openalex.org/C199639397","wikidata":"https://www.wikidata.org/wiki/Q1788588","display_name":"Engineering drawing","level":1,"score":0.08670476078987122},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5120/19857-1801","doi":"https://doi.org/10.5120/19857-1801","is_oa":true,"landing_page_url":"https://doi.org/10.5120/19857-1801","pdf_url":"https://doi.org/10.5120/19857-1801","source":{"id":"https://openalex.org/S4210206007","display_name":"International Journal of Computer Applications","issn_l":"0975-8887","issn":["0975-8887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4322545532","host_organization_name":"Foundation of Computer Science","host_organization_lineage":["https://openalex.org/P4322545532"],"host_organization_lineage_names":["Foundation of Computer Science"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Applications","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.695.7893","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.695.7893","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://research.ijcaonline.org/volume113/number9/pxc3901801.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.5120/19857-1801","doi":"https://doi.org/10.5120/19857-1801","is_oa":true,"landing_page_url":"https://doi.org/10.5120/19857-1801","pdf_url":"https://doi.org/10.5120/19857-1801","source":{"id":"https://openalex.org/S4210206007","display_name":"International Journal of Computer Applications","issn_l":"0975-8887","issn":["0975-8887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4322545532","host_organization_name":"Foundation of Computer Science","host_organization_lineage":["https://openalex.org/P4322545532"],"host_organization_lineage_names":["Foundation of Computer Science"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2043931015.pdf","grobid_xml":"https://content.openalex.org/works/W2043931015.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W433794350","https://openalex.org/W1965027360","https://openalex.org/W1965774283","https://openalex.org/W1966014675","https://openalex.org/W1978161004","https://openalex.org/W1983365921","https://openalex.org/W1989764105","https://openalex.org/W2010352620","https://openalex.org/W2012854733","https://openalex.org/W2016795230","https://openalex.org/W2040329976","https://openalex.org/W2047401360","https://openalex.org/W2057414857","https://openalex.org/W2064305119","https://openalex.org/W2064784253","https://openalex.org/W2065898229","https://openalex.org/W2074106343","https://openalex.org/W2085628012","https://openalex.org/W2087707879","https://openalex.org/W2088945003","https://openalex.org/W2101059679","https://openalex.org/W2134603324","https://openalex.org/W2142338126","https://openalex.org/W2170606157","https://openalex.org/W2307434423","https://openalex.org/W2787959293","https://openalex.org/W3201154547"],"related_works":["https://openalex.org/W3187425863","https://openalex.org/W2155025499","https://openalex.org/W6949481102","https://openalex.org/W2995226046","https://openalex.org/W2774070277","https://openalex.org/W6968843959","https://openalex.org/W2945880449","https://openalex.org/W3197504258","https://openalex.org/W4251553100","https://openalex.org/W4390640605"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3,52,60,72],"have":[4,53],"investigate":[5],"a":[6],"Taylor":[7,30,77],"collocation":[8,14,50],"method,":[9],"which":[10],"is":[11,22,82],"based":[12,23],"on":[13,24],"method":[15,21],"for":[16],"solving":[17],"fractional":[18,29],"pantograph":[19],"equation.This":[20],"first":[25],"taking":[26],"the":[27,33,37,47,49,54,62,74,86,89],"truncated":[28],"expansions":[31],"of":[32,56,64,76,88],"solution":[34],"function":[35],"in":[36],"mathematical":[38],"model":[39],"and":[40,71],"then":[41],"substituting":[42],"their":[43],"matrix":[44],"forms":[45],"into":[46],"equation.Using":[48],"points,":[51],"system":[55,63],"nonlinear":[57],"algebraic":[58,66],"equation.Then,":[59],"solve":[61],"linear":[65],"equation":[67],"using":[68],"Maple":[69],"14":[70],"obtain":[73],"coefficients":[75],"expansion.In":[78],"addition":[79],"illustrative":[80],"example":[81],"presented":[83],"to":[84],"demonstrate":[85],"effectiveness":[87],"proposed":[90],"method.":[91]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}