{"id":"https://openalex.org/W7138987157","doi":"https://doi.org/10.1016/j.cam.2026.117620","title":"Analytical solutions of fractional Burgers\u2019 equation with exponential extension kernel derivatives","display_name":"Analytical solutions of fractional Burgers\u2019 equation with exponential extension kernel derivatives","publication_year":2026,"publication_date":"2026-03-20","ids":{"openalex":"https://openalex.org/W7138987157","doi":"https://doi.org/10.1016/j.cam.2026.117620"},"language":"en","primary_location":{"id":"doi:10.1016/j.cam.2026.117620","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cam.2026.117620","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of 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/A5018185241","display_name":"Zaid Odibat","orcid":"https://orcid.org/0000-0002-2414-7969"},"institutions":[{"id":"https://openalex.org/I33926330","display_name":"Al-Balqa Applied University","ror":"https://ror.org/00qedmt22","country_code":"JO","type":"education","lineage":["https://openalex.org/I33926330"]}],"countries":["JO"],"is_corresponding":true,"raw_author_name":"Zaid Odibat","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Al-Salt, 19117, Jordan"],"raw_orcid":"https://orcid.org/0000-0002-2414-7969","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Al-Salt, 19117, Jordan","institution_ids":["https://openalex.org/I33926330"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5129854516","display_name":"Sania Qureshi","orcid":null},"institutions":[{"id":"https://openalex.org/I113330528","display_name":"Khazar University","ror":"https://ror.org/014te7048","country_code":"AZ","type":"education","lineage":["https://openalex.org/I113330528"]},{"id":"https://openalex.org/I180291457","display_name":"Mehran University of Engineering and Technology","ror":"https://ror.org/0575ttm03","country_code":"PK","type":"education","lineage":["https://openalex.org/I180291457"]},{"id":"https://openalex.org/I51780484","display_name":"Mersin \u00dcniversitesi","ror":"https://ror.org/04nqdwb39","country_code":"TR","type":"education","lineage":["https://openalex.org/I51780484"]},{"id":"https://openalex.org/I69050122","display_name":"Near East University","ror":"https://ror.org/02x8svs93","country_code":"CY","type":"education","lineage":["https://openalex.org/I69050122"]}],"countries":["AZ","CY","PK","TR"],"is_corresponding":false,"raw_author_name":"Sania Qureshi","raw_affiliation_strings":["Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Sindh, 76062, Pakistan","Department of Mathematics, Near East University, Mersin, 99138, Turkey","Research Center of Applied Mathematics, Khazar University, Baku, Azerbaijan"],"raw_orcid":"https://orcid.org/0000-0002-7225-2309","affiliations":[{"raw_affiliation_string":"Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Sindh, 76062, Pakistan","institution_ids":["https://openalex.org/I180291457"]},{"raw_affiliation_string":"Department of Mathematics, Near East University, Mersin, 99138, Turkey","institution_ids":["https://openalex.org/I51780484","https://openalex.org/I69050122"]},{"raw_affiliation_string":"Research Center of Applied Mathematics, Khazar University, Baku, Azerbaijan","institution_ids":["https://openalex.org/I113330528"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022405104","display_name":"Carlo Cattani","orcid":"https://orcid.org/0000-0002-7504-0424"},"institutions":[{"id":"https://openalex.org/I138938424","display_name":"Universit\u00e0 degli Studi della Tuscia","ror":"https://ror.org/03svwq685","country_code":"IT","type":"education","lineage":["https://openalex.org/I138938424"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Carlo Cattani","raw_affiliation_strings":["Engineering School, DEIM, University of Tuscia, Viterbo, 01100, Italy"],"raw_orcid":"https://orcid.org/0000-0002-7504-0424","affiliations":[{"raw_affiliation_string":"Engineering School, DEIM, University of Tuscia, Viterbo, 01100, Italy","institution_ids":["https://openalex.org/I138938424"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072670818","display_name":"J.F. G\u00f3mez-Aguilar","orcid":null},"institutions":[{"id":"https://openalex.org/I884181516","display_name":"Universidad Aut\u00f3noma del Estado de Morelos","ror":"https://ror.org/03rzb4f20","country_code":"MX","type":"education","lineage":["https://openalex.org/I884181516"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"J.F. G\u00f3mez-Aguilar","raw_affiliation_strings":["Centro de Investigaci\u00f3n en Ingenier\u00eda y Ciencias Aplicadas, Universidad Aut\u00f3noma del Estado de Morelos, Av. Universidad 1001 Col. Chamilpa, Cuernavaca, 62209, Morelos, Mexico"],"raw_orcid":"https://orcid.org/0000-0001-9403-3767","affiliations":[{"raw_affiliation_string":"Centro de Investigaci\u00f3n en Ingenier\u00eda y Ciencias Aplicadas, Universidad Aut\u00f3noma del Estado de Morelos, Av. Universidad 1001 Col. Chamilpa, Cuernavaca, 62209, Morelos, Mexico","institution_ids":["https://openalex.org/I884181516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5127027486","display_name":"Xiao-Jun Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Jun Yang","raw_affiliation_strings":["School of Mathematics, China University of Mining and Technology, Xuzhou, 221116, Jiangsu, PR China"],"raw_orcid":"https://orcid.org/0000-0003-0009-4599","affiliations":[{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, Xuzhou, 221116, Jiangsu, PR China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5129770139","display_name":"Dumitru Baleanu","orcid":null},"institutions":[{"id":"https://openalex.org/I56306041","display_name":"Lebanese American University","ror":"https://ror.org/00hqkan37","country_code":"LB","type":"education","lineage":["https://openalex.org/I56306041"]}],"countries":["LB"],"is_corresponding":false,"raw_author_name":"Dumitru Baleanu","raw_affiliation_strings":["Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon"],"raw_orcid":"https://orcid.org/0000-0002-0286-7244","affiliations":[{"raw_affiliation_string":"Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon","institution_ids":["https://openalex.org/I56306041"]}]}],"institutions":[],"countries_distinct_count":9,"institutions_distinct_count":9,"corresponding_author_ids":["https://openalex.org/A5018185241"],"corresponding_institution_ids":["https://openalex.org/I33926330"],"apc_list":{"value":2870,"currency":"USD","value_usd":2870},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.32442465,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"486","issue":null,"first_page":"117620","last_page":"117620"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9355999827384949,"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":0.9355999827384949,"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":0.01590000092983246,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.008500000461935997,"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/extension","display_name":"Extension (predicate logic)","score":0.5940999984741211},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.4903999865055084},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4650999903678894},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.36320000886917114},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.3580000102519989},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.31949999928474426}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9027000069618225},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5940999984741211},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5586000084877014},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.4903999865055084},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4650999903678894},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44119998812675476},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.36320000886917114},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3580000102519989},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.31949999928474426},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.31859999895095825},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.3001999855041504},{"id":"https://openalex.org/C85384003","wikidata":"https://www.wikidata.org/wiki/Q5421525","display_name":"Exponential polynomial","level":3,"score":0.2809999883174896},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.27300000190734863},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.26910001039505005}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cam.2026.117620","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cam.2026.117620","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of 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":37,"referenced_works":["https://openalex.org/W1977344101","https://openalex.org/W2022815635","https://openalex.org/W2038917479","https://openalex.org/W2049829830","https://openalex.org/W2168825792","https://openalex.org/W2256853616","https://openalex.org/W2771634040","https://openalex.org/W2889562958","https://openalex.org/W2897183705","https://openalex.org/W2900472542","https://openalex.org/W2907147018","https://openalex.org/W2954522738","https://openalex.org/W2963641381","https://openalex.org/W2969085022","https://openalex.org/W2990918991","https://openalex.org/W3037992656","https://openalex.org/W3086245083","https://openalex.org/W3134942432","https://openalex.org/W3164085647","https://openalex.org/W3202173002","https://openalex.org/W4210818446","https://openalex.org/W4221126481","https://openalex.org/W4281790463","https://openalex.org/W4297200333","https://openalex.org/W4317537884","https://openalex.org/W4375863379","https://openalex.org/W4388279742","https://openalex.org/W4388871716","https://openalex.org/W4388978542","https://openalex.org/W4392908316","https://openalex.org/W4396608574","https://openalex.org/W4398783044","https://openalex.org/W4399659072","https://openalex.org/W4400070709","https://openalex.org/W4408116816","https://openalex.org/W4411008276","https://openalex.org/W4412941757"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2026-03-20T00:00:00"}