{"id":"https://openalex.org/W7167506064","doi":"https://doi.org/10.1007/s12190-026-02851-7","title":"Numerical analysis of computational approaches to nonlinear generalized time-fractional mixed sub-diffusion-wave equations with delay","display_name":"Numerical analysis of computational approaches to nonlinear generalized time-fractional mixed sub-diffusion-wave equations with delay","publication_year":2026,"publication_date":"2026-07-01","ids":{"openalex":"https://openalex.org/W7167506064","doi":"https://doi.org/10.1007/s12190-026-02851-7"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-026-02851-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-026-02851-7","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/A5047265134","display_name":"Anatoly A. Alikhanov","orcid":"https://orcid.org/0000-0003-0684-6667"},"institutions":[{"id":"https://openalex.org/I134085113","display_name":"King Fahd University of Petroleum and Minerals","ror":"https://ror.org/03yez3163","country_code":"SA","type":"education","lineage":["https://openalex.org/I134085113"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Anatoly A. Alikhanov","raw_affiliation_strings":["Department of Mathematics, IRC for Intelligent Manufacturing & Robotics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0003-0684-6667","affiliations":[{"raw_affiliation_string":"Department of Mathematics, IRC for Intelligent Manufacturing & Robotics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia","institution_ids":["https://openalex.org/I134085113"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072293639","display_name":"Mohammad Shahbazi Asl","orcid":"https://orcid.org/0009-0003-8267-872X"},"institutions":[{"id":"https://openalex.org/I210043505","display_name":"North-Caucasus Federal University","ror":"https://ror.org/05g1k4d79","country_code":"RU","type":"education","lineage":["https://openalex.org/I210043505"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Mohammad Shahbazi Asl","raw_affiliation_strings":["North-Caucasus Center for Mathematical Research, North-Caucasus Federal University, Stavropol, 355017, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"North-Caucasus Center for Mathematical Research, North-Caucasus Federal University, Stavropol, 355017, Russia","institution_ids":["https://openalex.org/I210043505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047410885","display_name":"Ahmad Reza Haghighi","orcid":"https://orcid.org/0000-0002-1851-2456"},"institutions":[{"id":"https://openalex.org/I200432940","display_name":"Allameh Tabataba'i University","ror":"https://ror.org/02cc4gc68","country_code":"IR","type":"education","lineage":["https://openalex.org/I200432940"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Ahmad Reza Haghighi","raw_affiliation_strings":["Department of Mathematics, Faculty of Statistics, Mathematics, and Computer Science, Allameh Tabataba\u2019i University, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Statistics, Mathematics, and Computer Science, Allameh Tabataba\u2019i University, Tehran, Iran","institution_ids":["https://openalex.org/I200432940"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5140095782","display_name":"Aslanbek Khibiev","orcid":null},"institutions":[{"id":"https://openalex.org/I210043505","display_name":"North-Caucasus Federal University","ror":"https://ror.org/05g1k4d79","country_code":"RU","type":"education","lineage":["https://openalex.org/I210043505"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Aslanbek Khibiev","raw_affiliation_strings":["North-Caucasus Center for Mathematical Research, North-Caucasus Federal University, Stavropol, 355017, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"North-Caucasus Center for Mathematical Research, North-Caucasus Federal University, Stavropol, 355017, Russia","institution_ids":["https://openalex.org/I210043505"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5047265134"],"corresponding_institution_ids":["https://openalex.org/I134085113"],"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":0.70430544,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":"7","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":0.9728999733924866,"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":0.9728999733924866,"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/T10514","display_name":"Numerical methods in engineering","score":0.008100000210106373,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.004800000227987766,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7426999807357788},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6539999842643738},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5593000054359436},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5059000253677368},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4864000082015991},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.40720000863075256},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4041999876499176}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8022000193595886},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7426999807357788},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6539999842643738},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5593000054359436},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5059000253677368},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5037000179290771},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4864000082015991},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.40720000863075256},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4041999876499176},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.39340001344680786},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.3880000114440918},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37119999527931213},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.3294000029563904},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.3125999867916107},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3025999963283539},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.2883000075817108},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.2712000012397766},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.26600000262260437},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26179999113082886}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-026-02851-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-026-02851-7","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W2026110563","https://openalex.org/W2078691815","https://openalex.org/W2105617483","https://openalex.org/W2111271983","https://openalex.org/W2119104548","https://openalex.org/W2138534521","https://openalex.org/W2345649492","https://openalex.org/W2792080443","https://openalex.org/W2898200204","https://openalex.org/W2899549069","https://openalex.org/W2912063580","https://openalex.org/W2963309992","https://openalex.org/W2975683732","https://openalex.org/W2986105565","https://openalex.org/W3035617291","https://openalex.org/W3041828364","https://openalex.org/W3045927972","https://openalex.org/W3118762679","https://openalex.org/W3121574170","https://openalex.org/W3137606639","https://openalex.org/W3184571463","https://openalex.org/W3193153957","https://openalex.org/W3216968554","https://openalex.org/W4247953052","https://openalex.org/W4297200285","https://openalex.org/W4379879501","https://openalex.org/W4385989208","https://openalex.org/W4386712886","https://openalex.org/W4387095512","https://openalex.org/W4387116709","https://openalex.org/W4387614094","https://openalex.org/W4388005357","https://openalex.org/W4388294813","https://openalex.org/W4390052311","https://openalex.org/W4399290495","https://openalex.org/W4402084261","https://openalex.org/W4402201438","https://openalex.org/W4402533685","https://openalex.org/W4402679931","https://openalex.org/W4406120273","https://openalex.org/W4406275790","https://openalex.org/W4409326626","https://openalex.org/W4411614556","https://openalex.org/W4412605027","https://openalex.org/W4412838719","https://openalex.org/W4412852817","https://openalex.org/W4412980652","https://openalex.org/W4413444037","https://openalex.org/W4414166150","https://openalex.org/W4415517656","https://openalex.org/W4416027075","https://openalex.org/W4416457034","https://openalex.org/W4417378292","https://openalex.org/W7124142820","https://openalex.org/W7130596537","https://openalex.org/W7155612333","https://openalex.org/W7163891960"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2026-07-07T00:00:00"}