{"id":"https://openalex.org/W4402442733","doi":"https://doi.org/10.1186/s13661-024-01920-9","title":"Some existence results for a nonlinear q-integral equations via M.N.C and fixed point theorem Petryshyn","display_name":"Some existence results for a nonlinear q-integral equations via M.N.C and fixed point theorem Petryshyn","publication_year":2024,"publication_date":"2024-09-11","ids":{"openalex":"https://openalex.org/W4402442733","doi":"https://doi.org/10.1186/s13661-024-01920-9"},"language":"en","primary_location":{"id":"doi:10.1186/s13661-024-01920-9","doi":"https://doi.org/10.1186/s13661-024-01920-9","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13661-024-01920-9","pdf_url":"https://link.springer.com/content/pdf/10.1186/s13661-024-01920-9.pdf","source":{"id":"https://openalex.org/S61795452","display_name":"Boundary Value Problems","issn_l":"1687-2762","issn":["1687-2762","1687-2770"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-d","norway-1","poland-40","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Boundary Value Problems","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1186/s13661-024-01920-9.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088502843","display_name":"Hamid Reza Sahebi","orcid":"https://orcid.org/0000-0001-8258-6719","observed_orcids":["https://orcid.org/0000-0001-8258-6719"]},"institutions":[{"id":"https://openalex.org/I4210106052","display_name":"Islamic Azad University, Ashtian Branch","ror":"https://ror.org/00y16bh55","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210106052"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Hamid Reza Sahebi","raw_affiliation_strings":["Department of Mathematics, Islamic Azad University, Ashtian Branch, Ashtian, Iran"],"raw_orcid":"https://orcid.org/0000-0001-8258-6719","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Islamic Azad University, Ashtian Branch, Ashtian, Iran","institution_ids":["https://openalex.org/I4210106052"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066447963","display_name":"Manochehr Kazemi","orcid":"https://orcid.org/0000-0001-8392-6690","observed_orcids":["https://orcid.org/0000-0001-8392-6690"]},"institutions":[{"id":"https://openalex.org/I4210106052","display_name":"Islamic Azad University, Ashtian Branch","ror":"https://ror.org/00y16bh55","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210106052"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Manochehr Kazemi","raw_affiliation_strings":["Department of Mathematics, Islamic Azad University, Ashtian Branch, Ashtian, Iran"],"raw_orcid":"https://orcid.org/0000-0001-8392-6690","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Islamic Azad University, Ashtian Branch, Ashtian, Iran","institution_ids":["https://openalex.org/I4210106052"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050873507","display_name":"Mohammad Esmael Samei","orcid":"https://orcid.org/0000-0002-5450-3127","observed_orcids":["https://orcid.org/0000-0002-5450-3127"]},"institutions":[{"id":"https://openalex.org/I167694869","display_name":"Bu-Ali Sina University","ror":"https://ror.org/04ka8rx28","country_code":"IR","type":"education","lineage":["https://openalex.org/I167694869"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Esmael Samei","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran"],"raw_orcid":"https://orcid.org/0000-0002-5450-3127","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran","institution_ids":["https://openalex.org/I167694869"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088502843"],"corresponding_institution_ids":["https://openalex.org/I4210106052"],"apc_list":{"value":1790,"currency":"USD","value_usd":1790},"apc_paid":{"value":1790,"currency":"USD","value_usd":1790},"fwci":5.5655,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.97119248,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"2024","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9639000296592712,"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"}},"topics":[{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9639000296592712,"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"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.03350000083446503,"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/T12508","display_name":"Functional Equations Stability Results","score":0.0006000000284984708,"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/functional-integral-equations","display_name":"functional integral equations","score":0.6520000100135803},{"id":"https://openalex.org/keywords/existence-of-solutions","display_name":"existence of solutions","score":0.8209999799728394},{"id":"https://openalex.org/keywords/measure-of-noncompactness","display_name":"measure of noncompactness","score":0.9670000076293945},{"id":"https://openalex.org/keywords/banach-spaces","display_name":"Banach spaces","score":0.828000009059906},{"id":"https://openalex.org/keywords/q-calculus","display_name":"q-calculus","score":0.8679999709129333}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8180311918258667},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.6449382305145264},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.6439922451972961},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6182898879051208},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5835185647010803},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5823344588279724},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48855385184288025},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.47396084666252136},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33554092049598694},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2859450876712799},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09192276000976562},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1186/s13661-024-01920-9","doi":"https://doi.org/10.1186/s13661-024-01920-9","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13661-024-01920-9","pdf_url":"https://link.springer.com/content/pdf/10.1186/s13661-024-01920-9.pdf","source":{"id":"https://openalex.org/S61795452","display_name":"Boundary Value Problems","issn_l":"1687-2762","issn":["1687-2762","1687-2770"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-d","norway-1","poland-40","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Boundary Value Problems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:73b849927bdd4a15b991f7c6b5ccf871","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/73b849927bdd4a15b991f7c6b5ccf871","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Boundary Value Problems, Vol 2024, Iss 1, Pp 1-20 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1186/s13661-024-01920-9","doi":"https://doi.org/10.1186/s13661-024-01920-9","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13661-024-01920-9","pdf_url":"https://link.springer.com/content/pdf/10.1186/s13661-024-01920-9.pdf","source":{"id":"https://openalex.org/S61795452","display_name":"Boundary Value Problems","issn_l":"1687-2762","issn":["1687-2762","1687-2770"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-d","norway-1","poland-40","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Boundary Value Problems","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4402442733.pdf","grobid_xml":"https://content.openalex.org/works/W4402442733.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1183479064","https://openalex.org/W1965327921","https://openalex.org/W1971603131","https://openalex.org/W1984151412","https://openalex.org/W2038747932","https://openalex.org/W2085620964","https://openalex.org/W2094705351","https://openalex.org/W2116438794","https://openalex.org/W2127712795","https://openalex.org/W2137546828","https://openalex.org/W2166320748","https://openalex.org/W2200752873","https://openalex.org/W2326886507","https://openalex.org/W2468842615","https://openalex.org/W2472165525","https://openalex.org/W2941650460","https://openalex.org/W2944997840","https://openalex.org/W3119026704","https://openalex.org/W3145477668","https://openalex.org/W3167211100","https://openalex.org/W3192420316","https://openalex.org/W4289716379","https://openalex.org/W4308946368","https://openalex.org/W4315572240","https://openalex.org/W4322627639","https://openalex.org/W4377161667","https://openalex.org/W4378530110","https://openalex.org/W4390350787","https://openalex.org/W4391231455","https://openalex.org/W4391451823"],"related_works":["https://openalex.org/W4405394308","https://openalex.org/W3199500560","https://openalex.org/W4412891167","https://openalex.org/W7130939522","https://openalex.org/W4287451030","https://openalex.org/W3190256972","https://openalex.org/W2599202372","https://openalex.org/W3049491654","https://openalex.org/W4206343005","https://openalex.org/W4220727340"],"abstract_inverted_index":{"The":[0],"paper":[1],"focuses":[2],"on":[3],"establishing":[4],"sufficient":[5],"conditions":[6],"for":[7],"the":[8,11,26],"existence":[9],"of":[10,28,30,46,59],"solutions":[12],"in":[13,20,37],"some":[14,44],"functional":[15],"q":[16],"-integral":[17],"equations,":[18,47],"particularly":[19],"Banach":[21,38],"spaces.":[22],"In":[23],"this":[24],"method,":[25],"technique":[27],"measures":[29],"noncompactness":[31],"and":[32],"Petryshyn\u2019s":[33],"fixed":[34],"point":[35],"theorem":[36],"space":[39],"is":[40,53],"used.":[41],"We":[42],"provide":[43],"examples":[45],"which":[48],"confirm":[49],"that":[50],"our":[51],"result":[52],"applicable":[54],"to":[55],"a":[56],"wide":[57],"class":[58],"integral":[60],"equations.":[61]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":8}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2024-09-12T00:00:00"}