{"id":"https://openalex.org/W2033167592","doi":"https://doi.org/10.1007/s11075-008-9193-8","title":"An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives","display_name":"An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives","publication_year":2008,"publication_date":"2008-03-24","ids":{"openalex":"https://openalex.org/W2033167592","doi":"https://doi.org/10.1007/s11075-008-9193-8","mag":"2033167592"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-008-9193-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-008-9193-8","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/A5089293723","display_name":"Kai Diethelm","orcid":"https://orcid.org/0000-0002-7276-454X"},"institutions":[{"id":"https://openalex.org/I94509681","display_name":"Technische Universit\u00e4t Braunschweig","ror":"https://ror.org/010nsgg66","country_code":"DE","type":"education","lineage":["https://openalex.org/I94509681"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Kai Diethelm","raw_affiliation_strings":["GNS Gesellschaft f\u00fcr Numerische Simulation mbH, Am Gau\u00dfberg 2, 38114, Braunschweig, Germany","Institut Computational Mathematics, Technische Universit\u00e4t Braunschweig, Pockelsstr. 14, 38106, Braunschweig, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"GNS Gesellschaft f\u00fcr Numerische Simulation mbH, Am Gau\u00dfberg 2, 38114, Braunschweig, Germany","institution_ids":[]},{"raw_affiliation_string":"Institut Computational Mathematics, Technische Universit\u00e4t Braunschweig, Pockelsstr. 14, 38106, Braunschweig, Germany","institution_ids":["https://openalex.org/I94509681"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5089293723"],"corresponding_institution_ids":["https://openalex.org/I94509681"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":3.0158,"has_fulltext":false,"cited_by_count":110,"citation_normalized_percentile":{"value":0.90254101,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"47","issue":"4","first_page":"361","last_page":"390"},"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9987999796867371,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9980999827384949,"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":0.7951434850692749},{"id":"https://openalex.org/keywords/chatterjee","display_name":"Chatterjee","score":0.7486872673034668},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7183337807655334},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.609392523765564},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.6068313717842102},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5439527034759521},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5346452593803406},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5043138265609741},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4538111686706543},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.27475446462631226},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19382241368293762},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15116539597511292}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7951434850692749},{"id":"https://openalex.org/C2779379073","wikidata":"https://www.wikidata.org/wiki/Q5087932","display_name":"Chatterjee","level":3,"score":0.7486872673034668},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7183337807655334},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.609392523765564},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.6068313717842102},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5439527034759521},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5346452593803406},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5043138265609741},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4538111686706543},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27475446462631226},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19382241368293762},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15116539597511292},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C19235068","wikidata":"https://www.wikidata.org/wiki/Q9610","display_name":"Bengali","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-008-9193-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-008-9193-8","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":[{"id":"https://metadata.un.org/sdg/10","score":0.5799999833106995,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W9124626","https://openalex.org/W1489022300","https://openalex.org/W1523640391","https://openalex.org/W1528987510","https://openalex.org/W1991982189","https://openalex.org/W1995504856","https://openalex.org/W1995813948","https://openalex.org/W2010381639","https://openalex.org/W2012055399","https://openalex.org/W2013146780","https://openalex.org/W2014042268","https://openalex.org/W2022053593","https://openalex.org/W2041183314","https://openalex.org/W2042289689","https://openalex.org/W2048488127","https://openalex.org/W2059245314","https://openalex.org/W2066239578","https://openalex.org/W2068742490","https://openalex.org/W2070438803","https://openalex.org/W2073732659","https://openalex.org/W2134837756","https://openalex.org/W2156367245","https://openalex.org/W2166876058","https://openalex.org/W2314359380","https://openalex.org/W2319345516","https://openalex.org/W2787959293","https://openalex.org/W2898916015","https://openalex.org/W3038165843","https://openalex.org/W4247371619"],"related_works":["https://openalex.org/W1978262578","https://openalex.org/W3016972110","https://openalex.org/W2579975762","https://openalex.org/W2511254268","https://openalex.org/W4247460844","https://openalex.org/W583822028","https://openalex.org/W3180755935","https://openalex.org/W2056119507","https://openalex.org/W2039023896","https://openalex.org/W2028790718"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}