{"id":"https://openalex.org/W7163872667","doi":"https://doi.org/10.1007/s12190-026-02832-w","title":"Solvability of Caputo boundary value problem of fractional high-order with integral value conditions","display_name":"Solvability of Caputo boundary value problem of fractional high-order with integral value conditions","publication_year":2026,"publication_date":"2026-06-01","ids":{"openalex":"https://openalex.org/W7163872667","doi":"https://doi.org/10.1007/s12190-026-02832-w"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-026-02832-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-026-02832-w","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","1598-5865","1865-2085"],"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":"Journal of Applied Mathematics and Computing","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/A5041804310","display_name":"Mohammed Kaid","orcid":null},"institutions":[{"id":"https://openalex.org/I177657909","display_name":"Universit\u00e9 de Mostaganem","ror":"https://ror.org/052r04325","country_code":"DZ","type":"education","lineage":["https://openalex.org/I177657909"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Mohammed Kaid","raw_affiliation_strings":["Department of Mathematics, Faculty of Exact Sciences and Informatics, Abdelhamid Ben Badis University, Mostaganem, 27000, Algeria","Department of Mathematics, Faculty of Exact Sciences and Informatics, Abdelhamid Ben Badis University, Mostaganem, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Exact Sciences and Informatics, Abdelhamid Ben Badis University, Mostaganem, 27000, Algeria","institution_ids":["https://openalex.org/I177657909"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Exact Sciences and Informatics, Abdelhamid Ben Badis University, Mostaganem, Algeria","institution_ids":["https://openalex.org/I177657909"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060403157","display_name":"Khellaf Ould Melha","orcid":"https://orcid.org/0009-0004-3759-2211"},"institutions":[{"id":"https://openalex.org/I4210164694","display_name":"Hassiba Benbouali University of Chlef","ror":"https://ror.org/04yymzm67","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210164694"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Khellaf Ould Melha","raw_affiliation_strings":["Department of Mathematics, Faculty of Exact and Computer Sciences, Hassiba Benbouali University of Chlef, Ouled Fares, Chlef, 02180, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Exact and Computer Sciences, Hassiba Benbouali University of Chlef, Ouled Fares, Chlef, 02180, Algeria","institution_ids":["https://openalex.org/I4210164694"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023573264","display_name":"Sabri T. M. Thabet","orcid":"https://orcid.org/0000-0002-4568-9732"},"institutions":[{"id":"https://openalex.org/I197347611","display_name":"Korea University","ror":"https://ror.org/047dqcg40","country_code":"KR","type":"education","lineage":["https://openalex.org/I197347611"]},{"id":"https://openalex.org/I4210161052","display_name":"Korea University","ror":"https://ror.org/05m1gnk07","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210161052"]},{"id":"https://openalex.org/I85461943","display_name":"Saveetha University","ror":"https://ror.org/0034me914","country_code":"IN","type":"education","lineage":["https://openalex.org/I85461943"]}],"countries":["IN","JP","KR"],"is_corresponding":true,"raw_author_name":"Sabri T. M. Thabet","raw_affiliation_strings":["Department of Mathematics, College of Science, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul, 02814, Republic of Korea","Department of Mathematics, College of Science, Korea University, Seoul, Republic of Korea","Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai, India","Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai, Tamil Nadu, 602105, India"],"raw_orcid":"https://orcid.org/0000-0002-4568-9732","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul, 02814, Republic of Korea","institution_ids":["https://openalex.org/I4210161052"]},{"raw_affiliation_string":"Department of Mathematics, College of Science, Korea University, Seoul, Republic of Korea","institution_ids":["https://openalex.org/I197347611"]},{"raw_affiliation_string":"Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai, India","institution_ids":["https://openalex.org/I85461943"]},{"raw_affiliation_string":"Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai, Tamil Nadu, 602105, India","institution_ids":["https://openalex.org/I85461943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5138107107","display_name":"Khaled Aldwoah","orcid":"https://orcid.org/0000-0001-5731-3532"},"institutions":[{"id":"https://openalex.org/I4210151290","display_name":"Islamic University of Madinah","ror":"https://ror.org/03rcp1y74","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210151290"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Khaled Aldwoah","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, 42351, Saudi Arabia","Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-5731-3532","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, 42351, Saudi Arabia","institution_ids":["https://openalex.org/I4210151290"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, Saudi Arabia","institution_ids":["https://openalex.org/I4210151290"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056669532","display_name":"Taoufik Moulahi","orcid":"https://orcid.org/0000-0002-2884-8455"},"institutions":[{"id":"https://openalex.org/I142608572","display_name":"Prince Sattam Bin Abdulaziz University","ror":"https://ror.org/04jt46d36","country_code":"SA","type":"education","lineage":["https://openalex.org/I142608572"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Taoufik Moulahi","raw_affiliation_strings":["Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia","Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia","institution_ids":["https://openalex.org/I142608572"]},{"raw_affiliation_string":"Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi Arabia","institution_ids":["https://openalex.org/I142608572"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5023573264","https://openalex.org/A5041804310","https://openalex.org/A5056669532","https://openalex.org/A5138107107"],"corresponding_institution_ids":["https://openalex.org/I142608572","https://openalex.org/I177657909","https://openalex.org/I197347611","https://openalex.org/I4210151290","https://openalex.org/I4210161052","https://openalex.org/I85461943"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.59974858,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.5593000054359436,"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"}},"topics":[{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.5593000054359436,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.396699994802475,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.017500000074505806,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/uniqueness","display_name":"Uniqueness","score":0.7494999766349792},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6517000198364258},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6477000117301941},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.6435999870300293},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5285000205039978},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5052000284194946},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.41200000047683716},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.4101000130176544}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9190999865531921},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7494999766349792},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6517000198364258},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6477000117301941},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.6435999870300293},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5285000205039978},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5052000284194946},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4950999915599823},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4357999861240387},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.41200000047683716},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.4101000130176544},{"id":"https://openalex.org/C2776548862","wikidata":"https://www.wikidata.org/wiki/Q2694495","display_name":"Existence theorem","level":2,"score":0.3763999938964844},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.3750999867916107},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.36820000410079956},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.35749998688697815},{"id":"https://openalex.org/C28642324","wikidata":"https://www.wikidata.org/wiki/Q656176","display_name":"Schauder fixed point theorem","level":4,"score":0.3441999852657318},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.3156000077724457},{"id":"https://openalex.org/C206929604","wikidata":"https://www.wikidata.org/wiki/Q530152","display_name":"Picard\u2013Lindel\u00f6f theorem","level":3,"score":0.301800012588501},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.2930999994277954},{"id":"https://openalex.org/C45137528","wikidata":"https://www.wikidata.org/wiki/Q7977966","display_name":"Weak solution","level":2,"score":0.29089999198913574},{"id":"https://openalex.org/C155940","wikidata":"https://www.wikidata.org/wiki/Q7886967","display_name":"Uniqueness theorem for Poisson's equation","level":3,"score":0.2808000147342682},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.27619999647140503},{"id":"https://openalex.org/C3020050198","wikidata":"https://www.wikidata.org/wiki/Q6935027","display_name":"Multi point","level":2,"score":0.26019999384880066}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-026-02832-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-026-02832-w","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","1598-5865","1865-2085"],"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":"Journal of Applied Mathematics and Computing","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":28,"referenced_works":["https://openalex.org/W1994492051","https://openalex.org/W2003831821","https://openalex.org/W2003874621","https://openalex.org/W2030764255","https://openalex.org/W2121063309","https://openalex.org/W2137766894","https://openalex.org/W2241051974","https://openalex.org/W2323014785","https://openalex.org/W2361266362","https://openalex.org/W2598083299","https://openalex.org/W2954906999","https://openalex.org/W2963243266","https://openalex.org/W2971981972","https://openalex.org/W3005991983","https://openalex.org/W4247953052","https://openalex.org/W4390766477","https://openalex.org/W4394898724","https://openalex.org/W4401439692","https://openalex.org/W4402410207","https://openalex.org/W4404700649","https://openalex.org/W4407566210","https://openalex.org/W4408530799","https://openalex.org/W4410002708","https://openalex.org/W4410114924","https://openalex.org/W4410312620","https://openalex.org/W4410323307","https://openalex.org/W4410329786","https://openalex.org/W4411604697"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2026-06-09T00:00:00"}