{"id":"https://openalex.org/W3086658947","doi":"https://doi.org/10.1007/s40314-020-01322-4","title":"Existence, uniqueness, and numerical solutions for two-dimensional nonlinear fractional Volterra and Fredholm integral equations in a Banach space","display_name":"Existence, uniqueness, and numerical solutions for two-dimensional nonlinear fractional Volterra and Fredholm integral equations in a Banach space","publication_year":2020,"publication_date":"2020-09-12","ids":{"openalex":"https://openalex.org/W3086658947","doi":"https://doi.org/10.1007/s40314-020-01322-4","mag":"3086658947"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-020-01322-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-01322-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["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/A5032667200","display_name":"K. Maleknejad","orcid":"https://orcid.org/0000-0003-1774-7525"},"institutions":[{"id":"https://openalex.org/I67009956","display_name":"Iran University of Science and Technology","ror":"https://ror.org/01jw2p796","country_code":"IR","type":"education","lineage":["https://openalex.org/I67009956"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Khosrow Maleknejad","raw_affiliation_strings":["School of Mathematics, Iran University of Science and Technology (IUST), Narmak, Tehran, 16846 13114, Iran"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Iran University of Science and Technology (IUST), Narmak, Tehran, 16846 13114, Iran","institution_ids":["https://openalex.org/I67009956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025334700","display_name":"Jalil Rashidinia","orcid":"https://orcid.org/0000-0002-9177-900X"},"institutions":[{"id":"https://openalex.org/I67009956","display_name":"Iran University of Science and Technology","ror":"https://ror.org/01jw2p796","country_code":"IR","type":"education","lineage":["https://openalex.org/I67009956"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Jalil Rashidinia","raw_affiliation_strings":["School of Mathematics, Iran University of Science and Technology (IUST), Narmak, Tehran, 16846 13114, Iran"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Iran University of Science and Technology (IUST), Narmak, Tehran, 16846 13114, Iran","institution_ids":["https://openalex.org/I67009956"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072132668","display_name":"Tahereh Eftekhari","orcid":"https://orcid.org/0000-0002-4321-4450"},"institutions":[{"id":"https://openalex.org/I67009956","display_name":"Iran University of Science and Technology","ror":"https://ror.org/01jw2p796","country_code":"IR","type":"education","lineage":["https://openalex.org/I67009956"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Tahereh Eftekhari","raw_affiliation_strings":["School of Mathematics, Iran University of Science and Technology (IUST), Narmak, Tehran, 16846 13114, Iran"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Iran University of Science and Technology (IUST), Narmak, Tehran, 16846 13114, Iran","institution_ids":["https://openalex.org/I67009956"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5032667200"],"corresponding_institution_ids":["https://openalex.org/I67009956"],"apc_list":null,"apc_paid":null,"fwci":0.5605,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.74444387,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"39","issue":"4","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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9991999864578247,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9945999979972839,"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":0.829407811164856},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7020678520202637},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.6080607175827026},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5486264824867249},{"id":"https://openalex.org/keywords/volterra-integral-equation","display_name":"Volterra integral equation","score":0.5286356210708618},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.5280205607414246},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.5055880546569824},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4962635636329651},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4581661522388458},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.45507916808128357},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.44329187273979187}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.829407811164856},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7020678520202637},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6080607175827026},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5486264824867249},{"id":"https://openalex.org/C21965488","wikidata":"https://www.wikidata.org/wiki/Q2632613","display_name":"Volterra integral equation","level":3,"score":0.5286356210708618},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.5280205607414246},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.5055880546569824},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4962635636329651},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4581661522388458},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.45507916808128357},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.44329187273979187},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-020-01322-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-01322-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1969446688","https://openalex.org/W1970451301","https://openalex.org/W1972995042","https://openalex.org/W1986995623","https://openalex.org/W1992265863","https://openalex.org/W2004531333","https://openalex.org/W2022806724","https://openalex.org/W2039300886","https://openalex.org/W2059276961","https://openalex.org/W2067064980","https://openalex.org/W2068357285","https://openalex.org/W2078488499","https://openalex.org/W2093820071","https://openalex.org/W2107221565","https://openalex.org/W2137696066","https://openalex.org/W2144181355","https://openalex.org/W2263729859","https://openalex.org/W2316418224","https://openalex.org/W2468953051","https://openalex.org/W2567904062","https://openalex.org/W2615630725","https://openalex.org/W2663670568","https://openalex.org/W2733730566","https://openalex.org/W2754327658","https://openalex.org/W2754835566","https://openalex.org/W2758120063","https://openalex.org/W2775801138","https://openalex.org/W2799823613","https://openalex.org/W2887561794","https://openalex.org/W2898305470","https://openalex.org/W2903744803","https://openalex.org/W2910387264","https://openalex.org/W2915423648","https://openalex.org/W2922153620","https://openalex.org/W2923916604","https://openalex.org/W2948851489","https://openalex.org/W2958014349","https://openalex.org/W2960453456","https://openalex.org/W2962784945","https://openalex.org/W3012422924","https://openalex.org/W3037285524","https://openalex.org/W3092489834","https://openalex.org/W3123543538","https://openalex.org/W4213068077","https://openalex.org/W4243644504","https://openalex.org/W4301973099"],"related_works":["https://openalex.org/W2517687681","https://openalex.org/W2118560105","https://openalex.org/W2358959122","https://openalex.org/W4225984655","https://openalex.org/W2031624200","https://openalex.org/W1826865795","https://openalex.org/W2754932876","https://openalex.org/W325682659","https://openalex.org/W3130959766","https://openalex.org/W2014667605"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
