{"id":"https://openalex.org/W4225161508","doi":"https://doi.org/10.1007/s40314-022-01841-2","title":"An efficient numerical method for solving m-polar fuzzy initial value problems","display_name":"An efficient numerical method for solving m-polar fuzzy initial value problems","publication_year":2022,"publication_date":"2022-04-29","ids":{"openalex":"https://openalex.org/W4225161508","doi":"https://doi.org/10.1007/s40314-022-01841-2"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-022-01841-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-022-01841-2","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001270995","display_name":"Muhammad Akram","orcid":"https://orcid.org/0000-0001-7217-7962"},"institutions":[{"id":"https://openalex.org/I172780181","display_name":"University of the Punjab","ror":"https://ror.org/011maz450","country_code":"PK","type":"education","lineage":["https://openalex.org/I172780181"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Akram","raw_affiliation_strings":["Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan","institution_ids":["https://openalex.org/I172780181"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052661654","display_name":"Muhammad Saqib","orcid":"https://orcid.org/0000-0002-4144-5570"},"institutions":[{"id":"https://openalex.org/I99165933","display_name":"University of Gujrat","ror":"https://ror.org/01xe5fb92","country_code":"PK","type":"education","lineage":["https://openalex.org/I99165933"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Saqib","raw_affiliation_strings":["Department of Mathematics, University of Gujrat, Gujrat, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Gujrat, Gujrat, Pakistan","institution_ids":["https://openalex.org/I99165933"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013497933","display_name":"Shahida Bashir","orcid":"https://orcid.org/0000-0001-5869-9254"},"institutions":[{"id":"https://openalex.org/I99165933","display_name":"University of Gujrat","ror":"https://ror.org/01xe5fb92","country_code":"PK","type":"education","lineage":["https://openalex.org/I99165933"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Shahida Bashir","raw_affiliation_strings":["Department of Mathematics, University of Gujrat, Gujrat, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Gujrat, Gujrat, Pakistan","institution_ids":["https://openalex.org/I99165933"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073095019","display_name":"Tofigh Allahviranloo","orcid":"https://orcid.org/0000-0002-6673-3560"},"institutions":[{"id":"https://openalex.org/I4210121333","display_name":"Istinye University","ror":"https://ror.org/03081nz23","country_code":"TR","type":"education","lineage":["https://openalex.org/I4210121333"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Tofigh Allahviranloo","raw_affiliation_strings":["Faculty of Engineering and Natural Sciences, Istinye University, Istanbul, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-6673-3560","affiliations":[{"raw_affiliation_string":"Faculty of Engineering and Natural Sciences, Istinye University, Istanbul, Turkey","institution_ids":["https://openalex.org/I4210121333"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5073095019"],"corresponding_institution_ids":["https://openalex.org/I4210121333"],"apc_list":null,"apc_paid":null,"fwci":2.5609,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.90346808,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"41","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9559999704360962,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6599986553192139},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5590241551399231},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.526920735836029},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.464956134557724},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.44626447558403015},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4370739161968231},{"id":"https://openalex.org/keywords/euler-method","display_name":"Euler method","score":0.42310836911201477},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.31354808807373047},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3100489377975464},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.2649120092391968},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2626192569732666}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6599986553192139},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5590241551399231},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.526920735836029},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.464956134557724},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.44626447558403015},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4370739161968231},{"id":"https://openalex.org/C75380026","wikidata":"https://www.wikidata.org/wiki/Q868454","display_name":"Euler method","level":3,"score":0.42310836911201477},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.31354808807373047},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3100489377975464},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.2649120092391968},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2626192569732666},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-022-01841-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-022-01841-2","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1963526734","https://openalex.org/W1965744721","https://openalex.org/W1965955764","https://openalex.org/W1971478149","https://openalex.org/W1983161216","https://openalex.org/W1994123225","https://openalex.org/W2013367574","https://openalex.org/W2013932252","https://openalex.org/W2015439528","https://openalex.org/W2020508693","https://openalex.org/W2022135193","https://openalex.org/W2031538719","https://openalex.org/W2031628517","https://openalex.org/W2034038007","https://openalex.org/W2038354216","https://openalex.org/W2039746385","https://openalex.org/W2044200258","https://openalex.org/W2060243269","https://openalex.org/W2062148826","https://openalex.org/W2070545443","https://openalex.org/W2079457935","https://openalex.org/W2079954750","https://openalex.org/W2086144729","https://openalex.org/W2089021392","https://openalex.org/W2092092154","https://openalex.org/W2092628318","https://openalex.org/W2115084606","https://openalex.org/W2118282819","https://openalex.org/W2162836710","https://openalex.org/W2213086817","https://openalex.org/W2319973481","https://openalex.org/W2901280166","https://openalex.org/W2997034590","https://openalex.org/W3012164638","https://openalex.org/W3024910599","https://openalex.org/W3087873113","https://openalex.org/W3094095938","https://openalex.org/W3165342463","https://openalex.org/W3196504174","https://openalex.org/W4211007335","https://openalex.org/W4225161508","https://openalex.org/W4250625027","https://openalex.org/W4289254296"],"related_works":["https://openalex.org/W2474709654","https://openalex.org/W2301897886","https://openalex.org/W2243194968","https://openalex.org/W4238022794","https://openalex.org/W4386506673","https://openalex.org/W2917826337","https://openalex.org/W3178266934","https://openalex.org/W4200590064","https://openalex.org/W4389942554","https://openalex.org/W1972583070"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}