{"id":"https://openalex.org/W3043761134","doi":"https://doi.org/10.1007/s40314-020-01242-3","title":"Generalized Mittag-Leffler quadrature methods for fractional differential equations","display_name":"Generalized Mittag-Leffler quadrature methods for fractional differential equations","publication_year":2020,"publication_date":"2020-07-15","ids":{"openalex":"https://openalex.org/W3043761134","doi":"https://doi.org/10.1007/s40314-020-01242-3","mag":"3043761134"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-020-01242-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-01242-3","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/A5073868348","display_name":"Yu Li","orcid":"https://orcid.org/0000-0002-4993-7377"},"institutions":[{"id":"https://openalex.org/I47689461","display_name":"Northeast Forestry University","ror":"https://ror.org/02yxnh564","country_code":"CN","type":"education","lineage":["https://openalex.org/I47689461"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Li","raw_affiliation_strings":["Department of Mathematics, Northeast Forestry University, Harbin, 150040, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Northeast Forestry University, Harbin, 150040, People\u2019s Republic of China","institution_ids":["https://openalex.org/I47689461"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022834433","display_name":"Yang Cao","orcid":"https://orcid.org/0000-0001-9336-3748"},"institutions":[{"id":"https://openalex.org/I47689461","display_name":"Northeast Forestry University","ror":"https://ror.org/02yxnh564","country_code":"CN","type":"education","lineage":["https://openalex.org/I47689461"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Cao","raw_affiliation_strings":["Department of Mathematics, Northeast Forestry University, Harbin, 150040, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Northeast Forestry University, Harbin, 150040, People\u2019s Republic of China","institution_ids":["https://openalex.org/I47689461"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101960985","display_name":"Yan Fan","orcid":"https://orcid.org/0000-0003-0674-5866"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yan Fan","raw_affiliation_strings":["College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, 321004, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0003-0674-5866","affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, 321004, People\u2019s Republic of China","institution_ids":["https://openalex.org/I135237710"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101960985"],"corresponding_institution_ids":["https://openalex.org/I135237710"],"apc_list":null,"apc_paid":null,"fwci":0.0678,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.4348897,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"39","issue":"3","first_page":null,"last_page":null},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9995999932289124,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9991000294685364,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7543306350708008},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.5996781587600708},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.5811176300048828},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5491911172866821},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5114527940750122},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.4749458134174347},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4625290036201477},{"id":"https://openalex.org/keywords/gauss\u2013kronrod-quadrature-formula","display_name":"Gauss\u2013Kronrod quadrature formula","score":0.4533391296863556},{"id":"https://openalex.org/keywords/mittag-leffler-function","display_name":"Mittag-Leffler function","score":0.43536999821662903},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.4263600707054138},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.41104555130004883},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4101569652557373},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.36144906282424927},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.22782784700393677},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.21985822916030884},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.21494698524475098},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12274104356765747}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7543306350708008},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.5996781587600708},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.5811176300048828},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5491911172866821},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5114527940750122},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.4749458134174347},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4625290036201477},{"id":"https://openalex.org/C14103991","wikidata":"https://www.wikidata.org/wiki/Q5527852","display_name":"Gauss\u2013Kronrod quadrature formula","level":4,"score":0.4533391296863556},{"id":"https://openalex.org/C98724732","wikidata":"https://www.wikidata.org/wiki/Q1935235","display_name":"Mittag-Leffler function","level":3,"score":0.43536999821662903},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.4263600707054138},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.41104555130004883},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4101569652557373},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.36144906282424927},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.22782784700393677},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.21985822916030884},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.21494698524475098},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12274104356765747},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-020-01242-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-01242-3","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":37,"referenced_works":["https://openalex.org/W193812311","https://openalex.org/W605875166","https://openalex.org/W617317968","https://openalex.org/W827524955","https://openalex.org/W1483804921","https://openalex.org/W1548669157","https://openalex.org/W1553338987","https://openalex.org/W1584611818","https://openalex.org/W1978349032","https://openalex.org/W1993233144","https://openalex.org/W2000434452","https://openalex.org/W2004845306","https://openalex.org/W2012119533","https://openalex.org/W2027497334","https://openalex.org/W2032792450","https://openalex.org/W2034817221","https://openalex.org/W2040882071","https://openalex.org/W2063246020","https://openalex.org/W2135097100","https://openalex.org/W2510732450","https://openalex.org/W2549613210","https://openalex.org/W2561922883","https://openalex.org/W2742077408","https://openalex.org/W2769164724","https://openalex.org/W2787959293","https://openalex.org/W2790318515","https://openalex.org/W2899549069","https://openalex.org/W2899845772","https://openalex.org/W2991232792","https://openalex.org/W3102770794","https://openalex.org/W3102950679","https://openalex.org/W3103822942","https://openalex.org/W3105250750","https://openalex.org/W4211077197","https://openalex.org/W4240465921","https://openalex.org/W4247953052","https://openalex.org/W4293200410"],"related_works":["https://openalex.org/W4237740072","https://openalex.org/W2929787118","https://openalex.org/W2079157924","https://openalex.org/W1995933053","https://openalex.org/W1997731629","https://openalex.org/W4389939969","https://openalex.org/W2782582878","https://openalex.org/W2011971997","https://openalex.org/W4236781638","https://openalex.org/W2045831703"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
