{"id":"https://openalex.org/W4389639102","doi":"https://doi.org/10.1007/s11075-023-01718-3","title":"A numerical technique based on multiplicative integration strategy for fractional Darboux problem","display_name":"A numerical technique based on multiplicative integration strategy for fractional Darboux problem","publication_year":2023,"publication_date":"2023-12-13","ids":{"openalex":"https://openalex.org/W4389639102","doi":"https://doi.org/10.1007/s11075-023-01718-3"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-023-01718-3","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s11075-023-01718-3","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5101663189","display_name":"Amna Bibi","orcid":"https://orcid.org/0009-0004-0785-556X"},"institutions":[{"id":"https://openalex.org/I929597975","display_name":"National University of Sciences and Technology","ror":"https://ror.org/03w2j5y17","country_code":"PK","type":"education","lineage":["https://openalex.org/I929597975"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Amna Bibi","raw_affiliation_strings":["Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan","institution_ids":["https://openalex.org/I929597975"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008617568","display_name":"Mujeeb ur Rehman","orcid":"https://orcid.org/0000-0003-2511-8622"},"institutions":[{"id":"https://openalex.org/I929597975","display_name":"National University of Sciences and Technology","ror":"https://ror.org/03w2j5y17","country_code":"PK","type":"education","lineage":["https://openalex.org/I929597975"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Mujeeb ur Rehman","raw_affiliation_strings":["Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan","institution_ids":["https://openalex.org/I929597975"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101663189"],"corresponding_institution_ids":["https://openalex.org/I929597975"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20622568,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"97","issue":"2","first_page":"617","last_page":"643"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"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":1.0,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9984999895095825,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9976999759674072,"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/mathematics","display_name":"Mathematics","score":0.8293454647064209},{"id":"https://openalex.org/keywords/lagrange-polynomial","display_name":"Lagrange polynomial","score":0.7132457494735718},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.6971830129623413},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.6745284199714661},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.6296507120132446},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5381636619567871},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5342831611633301},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5045102834701538},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48003947734832764},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.47349342703819275},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.42363035678863525},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.3700348734855652},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2947109043598175},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13926613330841064},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08663249015808105}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8293454647064209},{"id":"https://openalex.org/C64208722","wikidata":"https://www.wikidata.org/wiki/Q861606","display_name":"Lagrange polynomial","level":3,"score":0.7132457494735718},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.6971830129623413},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.6745284199714661},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.6296507120132446},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5381636619567871},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5342831611633301},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5045102834701538},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48003947734832764},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.47349342703819275},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.42363035678863525},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.3700348734855652},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2947109043598175},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13926613330841064},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08663249015808105},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-023-01718-3","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s11075-023-01718-3","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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":27,"referenced_works":["https://openalex.org/W617317968","https://openalex.org/W1530054495","https://openalex.org/W1969428492","https://openalex.org/W1978021078","https://openalex.org/W1981761856","https://openalex.org/W2006021087","https://openalex.org/W2010264393","https://openalex.org/W2017833503","https://openalex.org/W2033087926","https://openalex.org/W2036817185","https://openalex.org/W2038230939","https://openalex.org/W2051533471","https://openalex.org/W2090157027","https://openalex.org/W2092946348","https://openalex.org/W2101149883","https://openalex.org/W2123930065","https://openalex.org/W2321878023","https://openalex.org/W2528533611","https://openalex.org/W2603722043","https://openalex.org/W2606385482","https://openalex.org/W2765206827","https://openalex.org/W3133596807","https://openalex.org/W3177029489","https://openalex.org/W4220876866","https://openalex.org/W4232002074","https://openalex.org/W4301223505","https://openalex.org/W4310018100"],"related_works":["https://openalex.org/W2035232447","https://openalex.org/W4237740072","https://openalex.org/W2056088350","https://openalex.org/W2144321310","https://openalex.org/W2001419904","https://openalex.org/W2384561833","https://openalex.org/W2060217354","https://openalex.org/W1982234448","https://openalex.org/W2560252838","https://openalex.org/W2755124412"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-12-25T23:11:45.687758","created_date":"2025-10-10T00:00:00"}