{"id":"https://openalex.org/W3041019551","doi":"https://doi.org/10.1007/s40314-020-01235-2","title":"On the weakly singular integro-differential nonlinear Volterra equation depending in acceleration term","display_name":"On the weakly singular integro-differential nonlinear Volterra equation depending in acceleration term","publication_year":2020,"publication_date":"2020-07-11","ids":{"openalex":"https://openalex.org/W3041019551","doi":"https://doi.org/10.1007/s40314-020-01235-2","mag":"3041019551"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-020-01235-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-01235-2","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/A5072371825","display_name":"Mourad Ghiat","orcid":"https://orcid.org/0000-0002-4484-2504"},"institutions":[{"id":"https://openalex.org/I4210097536","display_name":"University of Guelma","ror":"https://ror.org/00xe6p546","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210097536"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Mourad Ghiat","raw_affiliation_strings":["Universit\u00e9 8 Mai 1945 Guelma Laboratoire de Math\u00e9matiques Appliqu\u00e9es et de Mod\u00e9lisation, BP 401, 24000, Guelma, Algeria"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 8 Mai 1945 Guelma Laboratoire de Math\u00e9matiques Appliqu\u00e9es et de Mod\u00e9lisation, BP 401, 24000, Guelma, Algeria","institution_ids":["https://openalex.org/I4210097536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085586710","display_name":"Hamza Guebba\u00ef","orcid":"https://orcid.org/0000-0001-8119-2881"},"institutions":[{"id":"https://openalex.org/I4210097536","display_name":"University of Guelma","ror":"https://ror.org/00xe6p546","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210097536"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Hamza Guebbai","raw_affiliation_strings":["Universit\u00e9 8 Mai 1945 Guelma Laboratoire de Math\u00e9matiques Appliqu\u00e9es et de Mod\u00e9lisation, BP 401, 24000, Guelma, Algeria"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 8 Mai 1945 Guelma Laboratoire de Math\u00e9matiques Appliqu\u00e9es et de Mod\u00e9lisation, BP 401, 24000, Guelma, Algeria","institution_ids":["https://openalex.org/I4210097536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000759424","display_name":"Muhammet Kurulay","orcid":"https://orcid.org/0000-0002-9276-9989"},"institutions":[{"id":"https://openalex.org/I4210097536","display_name":"University of Guelma","ror":"https://ror.org/00xe6p546","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210097536"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Muhammet Kurulay","raw_affiliation_strings":["Universit\u00e9 8 Mai 1945 Guelma Laboratoire de Math\u00e9matiques Appliqu\u00e9es et de Mod\u00e9lisation, BP 401, 24000, Guelma, Algeria"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 8 Mai 1945 Guelma Laboratoire de Math\u00e9matiques Appliqu\u00e9es et de Mod\u00e9lisation, BP 401, 24000, Guelma, Algeria","institution_ids":["https://openalex.org/I4210097536"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022831299","display_name":"Sami Segni","orcid":"https://orcid.org/0000-0002-5330-1822"},"institutions":[{"id":"https://openalex.org/I4101805","display_name":"Y\u0131ld\u0131z Technical University","ror":"https://ror.org/0547yzj13","country_code":"TR","type":"education","lineage":["https://openalex.org/I4101805"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Sami Segni","raw_affiliation_strings":["Yildiz Teknik Universitesi, Istanbul, Turkey"],"affiliations":[{"raw_affiliation_string":"Yildiz Teknik Universitesi, Istanbul, Turkey","institution_ids":["https://openalex.org/I4101805"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5072371825"],"corresponding_institution_ids":["https://openalex.org/I4210097536"],"apc_list":null,"apc_paid":null,"fwci":0.2802,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.63352938,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":97},"biblio":{"volume":"39","issue":"3","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":0.9995999932289124,"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":0.9995999932289124,"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":0.9941999912261963,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9940000176429749,"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":0.7414950728416443},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7392200827598572},{"id":"https://openalex.org/keywords/acceleration","display_name":"Acceleration","score":0.6392558813095093},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.624959409236908},{"id":"https://openalex.org/keywords/volterra-integral-equation","display_name":"Volterra integral equation","score":0.6186755895614624},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5924009084701538},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5711323022842407},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.520858108997345},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.5163663625717163},{"id":"https://openalex.org/keywords/integro-differential-equation","display_name":"Integro-differential equation","score":0.5157508850097656},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.48742249608039856},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.4581214189529419},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38553550839424133},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.22538581490516663},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14402413368225098},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11891621351242065},{"id":"https://openalex.org/keywords/first-order-partial-differential-equation","display_name":"First-order partial differential equation","score":0.1086413562297821},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.07932180166244507}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7414950728416443},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7392200827598572},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.6392558813095093},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.624959409236908},{"id":"https://openalex.org/C21965488","wikidata":"https://www.wikidata.org/wiki/Q2632613","display_name":"Volterra integral equation","level":3,"score":0.6186755895614624},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5924009084701538},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5711323022842407},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.520858108997345},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5163663625717163},{"id":"https://openalex.org/C70985411","wikidata":"https://www.wikidata.org/wiki/Q2380676","display_name":"Integro-differential equation","level":4,"score":0.5157508850097656},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.48742249608039856},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.4581214189529419},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38553550839424133},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.22538581490516663},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14402413368225098},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11891621351242065},{"id":"https://openalex.org/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"score":0.1086413562297821},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.07932180166244507},{"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},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-020-01235-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-01235-2","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":[{"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth","score":0.5400000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1543326485","https://openalex.org/W1980144091","https://openalex.org/W1994152114","https://openalex.org/W2068502858","https://openalex.org/W2088413752","https://openalex.org/W2323670563","https://openalex.org/W2563796153","https://openalex.org/W2785698365","https://openalex.org/W2790637377","https://openalex.org/W3021895250","https://openalex.org/W3129002167","https://openalex.org/W4297914047"],"related_works":["https://openalex.org/W2267613321","https://openalex.org/W2536379864","https://openalex.org/W4253848581","https://openalex.org/W1985051213","https://openalex.org/W2906624979","https://openalex.org/W4367557662","https://openalex.org/W3097583914","https://openalex.org/W2585034204","https://openalex.org/W3200459157","https://openalex.org/W2517687681"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}