{"id":"https://openalex.org/W2069232118","doi":"https://doi.org/10.1016/j.mcm.2011.11.044","title":"A new analytical solution procedure for nonlinear integral equations","display_name":"A new analytical solution procedure for nonlinear integral equations","publication_year":2011,"publication_date":"2011-12-16","ids":{"openalex":"https://openalex.org/W2069232118","doi":"https://doi.org/10.1016/j.mcm.2011.11.044","mag":"2069232118"},"language":"en","primary_location":{"id":"doi:10.1016/j.mcm.2011.11.044","doi":"https://doi.org/10.1016/j.mcm.2011.11.044","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.mcm.2011.11.044","pdf_url":null,"source":{"id":"https://openalex.org/S182710874","display_name":"Mathematical and Computer Modelling","issn_l":"0895-7177","issn":["0895-7177","1872-9479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1"],"host_organization":"https://openalex.org/P4310320146","host_organization_name":"Pergamon Press","host_organization_lineage":["https://openalex.org/P4310320146"],"host_organization_lineage_names":["Pergamon Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical and Computer Modelling","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.1016/j.mcm.2011.11.044","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100757593","display_name":"Majid Khan","orcid":"https://orcid.org/0000-0001-5454-3770","observed_orcids":["https://orcid.org/0000-0001-5454-3770"]},"institutions":[{"id":"https://openalex.org/I201384688","display_name":"National University of Computer and Emerging Sciences","ror":"https://ror.org/003eyb898","country_code":"PK","type":"education","lineage":["https://openalex.org/I201384688"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Majid Khan","raw_affiliation_strings":["Department of Sciences and Humanities, National University of Computer and Emerging Sciences Islamabad, Pakistan","Department of Sciences & Humanities, National University of Computer and Emerging Sciences, Islamabad, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Sciences and Humanities, National University of Computer and Emerging Sciences Islamabad, Pakistan","institution_ids":["https://openalex.org/I201384688"]},{"raw_affiliation_string":"Department of Sciences & Humanities, National University of Computer and Emerging Sciences, Islamabad, Pakistan","institution_ids":["https://openalex.org/I201384688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065553970","display_name":"Muhammad Asif Gondal","orcid":"https://orcid.org/0000-0003-1688-0113","observed_orcids":["https://orcid.org/0000-0003-1688-0113"]},"institutions":[{"id":"https://openalex.org/I201384688","display_name":"National University of Computer and Emerging Sciences","ror":"https://ror.org/003eyb898","country_code":"PK","type":"education","lineage":["https://openalex.org/I201384688"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Asif Gondal","raw_affiliation_strings":["Department of Sciences and Humanities, National University of Computer and Emerging Sciences Islamabad, Pakistan","Department of Sciences & Humanities, National University of Computer and Emerging Sciences, Islamabad, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Sciences and Humanities, National University of Computer and Emerging Sciences Islamabad, Pakistan","institution_ids":["https://openalex.org/I201384688"]},{"raw_affiliation_string":"Department of Sciences & Humanities, National University of Computer and Emerging Sciences, Islamabad, Pakistan","institution_ids":["https://openalex.org/I201384688"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060764666","display_name":"Sunil Kumar","orcid":"https://orcid.org/0000-0003-0620-1068","observed_orcids":["https://orcid.org/0000-0003-0620-1068"]},"institutions":[{"id":"https://openalex.org/I933318745","display_name":"Dehradun Institute of Technology University","ror":"https://ror.org/01v5k4d73","country_code":"IN","type":"education","lineage":["https://openalex.org/I933318745"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sunil Kumar","raw_affiliation_strings":["Department of Mathematics, Dehradun Institute of Technology, Dehradun, India","Department of Mathematics,Dehradun Institute of Technology,Dehradun,India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Dehradun Institute of Technology, Dehradun, India","institution_ids":["https://openalex.org/I933318745"]},{"raw_affiliation_string":"Department of Mathematics,Dehradun Institute of Technology,Dehradun,India","institution_ids":["https://openalex.org/I933318745"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100757593"],"corresponding_institution_ids":["https://openalex.org/I201384688"],"apc_list":null,"apc_paid":null,"fwci":8.7275,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.97686796,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"55","issue":"7-8","first_page":"1892","last_page":"1897"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.6104000210762024,"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":0.6104000210762024,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.2915000021457672,"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/T13806","display_name":"Mathematical and Computational Methods","score":0.05220000073313713,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-volterra-integral-equations","display_name":"nonlinear Volterra integral equations","score":0.9079999923706055},{"id":"https://openalex.org/keywords/laplace-decomposition-method","display_name":"Laplace decomposition method","score":0.9350000023841858},{"id":"https://openalex.org/keywords/analytical-solution","display_name":"analytical solution","score":0.6629999876022339},{"id":"https://openalex.org/keywords/exact-solutions","display_name":"exact solutions","score":0.9079999923706055},{"id":"https://openalex.org/keywords/computational-efficiency","display_name":"computational efficiency","score":0.4729999899864197}],"concepts":[{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.8451521396636963},{"id":"https://openalex.org/C21965488","wikidata":"https://www.wikidata.org/wiki/Q2632613","display_name":"Volterra integral equation","level":3,"score":0.7039735317230225},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6867398619651794},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.6863277554512024},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6082875728607178},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5697093605995178},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5384132862091064},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.500518798828125},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4714948534965515},{"id":"https://openalex.org/C194330524","wikidata":"https://www.wikidata.org/wiki/Q2858841","display_name":"Laplace transform applied to differential equations","level":3,"score":0.4370035231113434},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.349343478679657},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3410685658454895},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25924795866012573},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.mcm.2011.11.044","doi":"https://doi.org/10.1016/j.mcm.2011.11.044","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.mcm.2011.11.044","pdf_url":null,"source":{"id":"https://openalex.org/S182710874","display_name":"Mathematical and Computer Modelling","issn_l":"0895-7177","issn":["0895-7177","1872-9479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1"],"host_organization":"https://openalex.org/P4310320146","host_organization_name":"Pergamon Press","host_organization_lineage":["https://openalex.org/P4310320146"],"host_organization_lineage_names":["Pergamon Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical and Computer Modelling","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.mcm.2011.11.044","doi":"https://doi.org/10.1016/j.mcm.2011.11.044","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.mcm.2011.11.044","pdf_url":null,"source":{"id":"https://openalex.org/S182710874","display_name":"Mathematical and Computer Modelling","issn_l":"0895-7177","issn":["0895-7177","1872-9479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1"],"host_organization":"https://openalex.org/P4310320146","host_organization_name":"Pergamon Press","host_organization_lineage":["https://openalex.org/P4310320146"],"host_organization_lineage_names":["Pergamon Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical and Computer Modelling","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W151236488","https://openalex.org/W1582171922","https://openalex.org/W1973792534","https://openalex.org/W1979294065","https://openalex.org/W2036315978","https://openalex.org/W2069595440","https://openalex.org/W2084500512","https://openalex.org/W2095832262","https://openalex.org/W2137140462","https://openalex.org/W2185162620","https://openalex.org/W2188179610","https://openalex.org/W2283698256","https://openalex.org/W6674628929","https://openalex.org/W6680517994","https://openalex.org/W6686847928","https://openalex.org/W6695796025"],"related_works":["https://openalex.org/W4213365297","https://openalex.org/W3166878184","https://openalex.org/W3168690039","https://openalex.org/W4308853780","https://openalex.org/W3022275705","https://openalex.org/W2479299069","https://openalex.org/W4389482554","https://openalex.org/W2019538856","https://openalex.org/W1881697342","https://openalex.org/W4390752221"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":1}],"updated_date":"2026-09-16T18:09:00.828671","created_date":"2025-10-10T00:00:00"}