{"id":"https://openalex.org/W3163281738","doi":"https://doi.org/10.1007/s40314-021-01537-z","title":"An existence result for an infinite system of implicit fractional integral equations via generalized Darbo\u2019s fixed point theorem","display_name":"An existence result for an infinite system of implicit fractional integral equations via generalized Darbo\u2019s fixed point theorem","publication_year":2021,"publication_date":"2021-05-18","ids":{"openalex":"https://openalex.org/W3163281738","doi":"https://doi.org/10.1007/s40314-021-01537-z","mag":"3163281738"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-021-01537-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01537-z","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/A5007995847","display_name":"Anupam Das","orcid":"https://orcid.org/0000-0002-1529-9266"},"institutions":[{"id":"https://openalex.org/I4210102005","display_name":"Rajiv Gandhi University","ror":"https://ror.org/017wgkd42","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210102005"]},{"id":"https://openalex.org/I4210102512","display_name":"Cotton University","ror":"https://ror.org/019ehh677","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210102512"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Anupam Das","raw_affiliation_strings":["Department of Mathematics, Cotton University, Panbazar, Guwahati, Assam, 781001, India","Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh, 791112, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Cotton University, Panbazar, Guwahati, Assam, 781001, India","institution_ids":["https://openalex.org/I4210102512"]},{"raw_affiliation_string":"Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh, 791112, India","institution_ids":["https://openalex.org/I4210102005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030425660","display_name":"Bipan Hazarika","orcid":"https://orcid.org/0000-0002-0644-0600"},"institutions":[{"id":"https://openalex.org/I138537684","display_name":"Gauhati University","ror":"https://ror.org/01ppj9r51","country_code":"IN","type":"education","lineage":["https://openalex.org/I138537684"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Bipan Hazarika","raw_affiliation_strings":["Department of Mathematics, Gauhati University, Guwahati, Assam, 781014, India"],"raw_orcid":"https://orcid.org/0000-0002-0644-0600","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Gauhati University, Guwahati, Assam, 781014, India","institution_ids":["https://openalex.org/I138537684"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076381835","display_name":"Sumati Kumari Panda","orcid":"https://orcid.org/0000-0002-0220-8222"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sumati Kumari Panda","raw_affiliation_strings":["Department of Mathematics, Basic Sciences and Humanities, GMR Institute of Technology, Rajam, Arunachal Pradesh, 532127, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Basic Sciences and Humanities, GMR Institute of Technology, Rajam, Arunachal Pradesh, 532127, India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088244878","display_name":"V. Vijayakumar","orcid":"https://orcid.org/0000-0001-5976-5794"},"institutions":[{"id":"https://openalex.org/I876193797","display_name":"Vellore Institute of Technology University","ror":"https://ror.org/00qzypv28","country_code":"IN","type":"education","lineage":["https://openalex.org/I876193797"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"V. Vijayakumar","raw_affiliation_strings":["Department of Mathematics, School of Advanced Sciences, VIT, Vellore, Tamil Nadu, 632014, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Advanced Sciences, VIT, Vellore, Tamil Nadu, 632014, India","institution_ids":["https://openalex.org/I876193797"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5030425660"],"corresponding_institution_ids":["https://openalex.org/I138537684"],"apc_list":null,"apc_paid":null,"fwci":2.1782,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.87687903,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"40","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":0.9987000226974487,"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":0.9987000226974487,"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":0.9959999918937683,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.8118672370910645},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7149665355682373},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6601152420043945},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6373870372772217},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.6281517148017883},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4850572645664215},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.46305370330810547},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4454685151576996},{"id":"https://openalex.org/keywords/schauder-fixed-point-theorem","display_name":"Schauder fixed point theorem","score":0.44367480278015137},{"id":"https://openalex.org/keywords/picard\u2013lindel\u00f6f-theorem","display_name":"Picard\u2013Lindel\u00f6f theorem","score":0.4041537344455719},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07041126489639282}],"concepts":[{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.8118672370910645},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7149665355682373},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6601152420043945},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6373870372772217},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.6281517148017883},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4850572645664215},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.46305370330810547},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4454685151576996},{"id":"https://openalex.org/C28642324","wikidata":"https://www.wikidata.org/wiki/Q656176","display_name":"Schauder fixed point theorem","level":4,"score":0.44367480278015137},{"id":"https://openalex.org/C206929604","wikidata":"https://www.wikidata.org/wiki/Q530152","display_name":"Picard\u2013Lindel\u00f6f theorem","level":3,"score":0.4041537344455719},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07041126489639282},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-021-01537-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01537-z","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W250996026","https://openalex.org/W384281056","https://openalex.org/W433794350","https://openalex.org/W1183479064","https://openalex.org/W1426663055","https://openalex.org/W1530054495","https://openalex.org/W1583686354","https://openalex.org/W1817146577","https://openalex.org/W1949416244","https://openalex.org/W1971200514","https://openalex.org/W1977729023","https://openalex.org/W1988607500","https://openalex.org/W2010372803","https://openalex.org/W2034893110","https://openalex.org/W2050220275","https://openalex.org/W2064152110","https://openalex.org/W2092568001","https://openalex.org/W2124333128","https://openalex.org/W2200752873","https://openalex.org/W2216686203","https://openalex.org/W2280985302","https://openalex.org/W2563811647","https://openalex.org/W2590352016","https://openalex.org/W2595360653","https://openalex.org/W2756275023","https://openalex.org/W2763535636","https://openalex.org/W2789832482","https://openalex.org/W2807558964","https://openalex.org/W2907999854","https://openalex.org/W2917506628","https://openalex.org/W2946621066","https://openalex.org/W2949703622","https://openalex.org/W3007325153","https://openalex.org/W3010140590","https://openalex.org/W3014306684","https://openalex.org/W3024451764","https://openalex.org/W3029981687","https://openalex.org/W3080800523","https://openalex.org/W3084228074","https://openalex.org/W3096611353","https://openalex.org/W3120302196","https://openalex.org/W3127534953","https://openalex.org/W3134110295","https://openalex.org/W3135227555","https://openalex.org/W3137905712","https://openalex.org/W3142430163","https://openalex.org/W4230659860","https://openalex.org/W4301223505"],"related_works":["https://openalex.org/W4251786591","https://openalex.org/W2846516035","https://openalex.org/W2107950159","https://openalex.org/W2391238336","https://openalex.org/W2354765335","https://openalex.org/W2909535566","https://openalex.org/W2977556127","https://openalex.org/W2077602841","https://openalex.org/W2121351298","https://openalex.org/W2104305035"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
