{"id":"https://openalex.org/W4229065053","doi":"https://doi.org/10.1007/s12190-022-01743-w","title":"An approach based on fractional-order Lagrange polynomials for the numerical approximation of fractional order non-linear Volterra-Fredholm integro-differential equations","display_name":"An approach based on fractional-order Lagrange polynomials for the numerical approximation of fractional order non-linear Volterra-Fredholm integro-differential equations","publication_year":2022,"publication_date":"2022-05-05","ids":{"openalex":"https://openalex.org/W4229065053","doi":"https://doi.org/10.1007/s12190-022-01743-w"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-022-01743-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-022-01743-w","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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":"Journal of Applied Mathematics and Computing","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/A5101948836","display_name":"Saurabh Kumar","orcid":"https://orcid.org/0000-0002-8719-7875"},"institutions":[{"id":"https://openalex.org/I33552525","display_name":"LNM Institute of Information Technology","ror":"https://ror.org/03jp7rg16","country_code":"IN","type":"education","lineage":["https://openalex.org/I33552525"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Saurabh Kumar","raw_affiliation_strings":["Centre for Mathematical and Financial Computing, Department of Mathematics, The LNM Institute of Information Technology, Jaipur, 302031, India","Centre for Mathematical and Financial Computing, Department of Mathematics, The LNM Institute of Information Technology, Jaipur, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Mathematical and Financial Computing, Department of Mathematics, The LNM Institute of Information Technology, Jaipur, 302031, India","institution_ids":["https://openalex.org/I33552525"]},{"raw_affiliation_string":"Centre for Mathematical and Financial Computing, Department of Mathematics, The LNM Institute of Information Technology, Jaipur, India","institution_ids":["https://openalex.org/I33552525"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043730552","display_name":"Vikas Gupta","orcid":"https://orcid.org/0000-0003-0571-1488"},"institutions":[{"id":"https://openalex.org/I33552525","display_name":"LNM Institute of Information Technology","ror":"https://ror.org/03jp7rg16","country_code":"IN","type":"education","lineage":["https://openalex.org/I33552525"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Vikas Gupta","raw_affiliation_strings":["Centre for Mathematical and Financial Computing, Department of Mathematics, The LNM Institute of Information Technology, Jaipur, 302031, India","Centre for Mathematical and Financial Computing, Department of Mathematics, The LNM Institute of Information Technology, Jaipur, India"],"raw_orcid":"https://orcid.org/0000-0003-0571-1488","affiliations":[{"raw_affiliation_string":"Centre for Mathematical and Financial Computing, Department of Mathematics, The LNM Institute of Information Technology, Jaipur, 302031, India","institution_ids":["https://openalex.org/I33552525"]},{"raw_affiliation_string":"Centre for Mathematical and Financial Computing, Department of Mathematics, The LNM Institute of Information Technology, Jaipur, India","institution_ids":["https://openalex.org/I33552525"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043730552","https://openalex.org/A5101948836"],"corresponding_institution_ids":["https://openalex.org/I33552525"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.6154,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.89860901,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"69","issue":"1","first_page":"251","last_page":"272"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9976000189781189,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9876999855041504,"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":0.8721572160720825},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.6756519675254822},{"id":"https://openalex.org/keywords/lagrange-polynomial","display_name":"Lagrange polynomial","score":0.5988733768463135},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.5095213055610657},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4914950132369995},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.4678170382976532},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.4620036780834198},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.45496517419815063},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42693328857421875},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.42383038997650146},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.32707926630973816},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16518056392669678}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8721572160720825},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6756519675254822},{"id":"https://openalex.org/C64208722","wikidata":"https://www.wikidata.org/wiki/Q861606","display_name":"Lagrange polynomial","level":3,"score":0.5988733768463135},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.5095213055610657},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4914950132369995},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.4678170382976532},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.4620036780834198},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.45496517419815063},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42693328857421875},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.42383038997650146},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.32707926630973816},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16518056392669678},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/s12190-022-01743-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-022-01743-w","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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":"Journal of Applied Mathematics and Computing","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":29,"referenced_works":["https://openalex.org/W1553338987","https://openalex.org/W1964137308","https://openalex.org/W1985312627","https://openalex.org/W1985438383","https://openalex.org/W2004531333","https://openalex.org/W2023153411","https://openalex.org/W2034662763","https://openalex.org/W2039785146","https://openalex.org/W2047450993","https://openalex.org/W2053759540","https://openalex.org/W2061209223","https://openalex.org/W2086677263","https://openalex.org/W2107221565","https://openalex.org/W2109752958","https://openalex.org/W2116807840","https://openalex.org/W2134264301","https://openalex.org/W2434263987","https://openalex.org/W2775330857","https://openalex.org/W2892204294","https://openalex.org/W2946910752","https://openalex.org/W3091627458","https://openalex.org/W3112632525","https://openalex.org/W3114397431","https://openalex.org/W3123258276","https://openalex.org/W3139426966","https://openalex.org/W3190242550","https://openalex.org/W4206343005","https://openalex.org/W4247861852","https://openalex.org/W6811224608"],"related_works":["https://openalex.org/W2082446734","https://openalex.org/W3148881609","https://openalex.org/W4313560640","https://openalex.org/W4246784705","https://openalex.org/W2350962908","https://openalex.org/W3024206168","https://openalex.org/W4317627639","https://openalex.org/W3005643231","https://openalex.org/W2806181810","https://openalex.org/W2212647145"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}