{"id":"https://openalex.org/W4405472609","doi":"https://doi.org/10.1007/s12190-024-02321-y","title":"A numerical algorithm with parallel implementation for variable-order fractional mobile/immobile equation","display_name":"A numerical algorithm with parallel implementation for variable-order fractional mobile/immobile equation","publication_year":2024,"publication_date":"2024-12-17","ids":{"openalex":"https://openalex.org/W4405472609","doi":"https://doi.org/10.1007/s12190-024-02321-y"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-024-02321-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02321-y","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["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/A5061264847","display_name":"Fouad Mohammad Salama","orcid":"https://orcid.org/0000-0003-3826-4880"},"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":"Fouad Mohammad Salama","raw_affiliation_strings":["Department of Mathematics, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0003-3826-4880","affiliations":[{"raw_affiliation_string":"Department of Mathematics, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia","institution_ids":["https://openalex.org/I134085113"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044184192","display_name":"Faisal Fairag","orcid":"https://orcid.org/0000-0001-9615-3332"},"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":false,"raw_author_name":"Faisal Fairag","raw_affiliation_strings":["Department of Mathematics, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia","institution_ids":["https://openalex.org/I134085113"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061264847"],"corresponding_institution_ids":["https://openalex.org/I134085113"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.5253,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.82121344,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"71","issue":"2","first_page":"2433","last_page":"2471"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998000264167786,"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":0.9998000264167786,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.972599983215332,"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"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9668999910354614,"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/mathematics","display_name":"Mathematics","score":0.7156679630279541},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6827695369720459},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.6287338137626648},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5810720920562744},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5097612738609314},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5015528202056885},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.490654855966568},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4643791913986206},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.46270516514778137},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.43646863102912903},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.4200173020362854},{"id":"https://openalex.org/keywords/order-of-accuracy","display_name":"Order of accuracy","score":0.4151528477668762},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41514313220977783},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.3933183550834656},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38520684838294983},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24801304936408997},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16463211178779602}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7156679630279541},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6827695369720459},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6287338137626648},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5810720920562744},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5097612738609314},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5015528202056885},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.490654855966568},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4643791913986206},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.46270516514778137},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.43646863102912903},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.4200173020362854},{"id":"https://openalex.org/C39177556","wikidata":"https://www.wikidata.org/wiki/Q7100567","display_name":"Order of accuracy","level":4,"score":0.4151528477668762},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41514313220977783},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.3933183550834656},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38520684838294983},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24801304936408997},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16463211178779602},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-024-02321-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02321-y","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["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":39,"referenced_works":["https://openalex.org/W2015886331","https://openalex.org/W2042461374","https://openalex.org/W2084181523","https://openalex.org/W2087727674","https://openalex.org/W2103296601","https://openalex.org/W2566736329","https://openalex.org/W2567309135","https://openalex.org/W2589667478","https://openalex.org/W2594658257","https://openalex.org/W2618430072","https://openalex.org/W2754811599","https://openalex.org/W2801192398","https://openalex.org/W2889281424","https://openalex.org/W2923505959","https://openalex.org/W2928839578","https://openalex.org/W2947872593","https://openalex.org/W2963309992","https://openalex.org/W3005710824","https://openalex.org/W3023580085","https://openalex.org/W3027817760","https://openalex.org/W3047631748","https://openalex.org/W3091820430","https://openalex.org/W3116353825","https://openalex.org/W3118925173","https://openalex.org/W3130059455","https://openalex.org/W3146488794","https://openalex.org/W3152293767","https://openalex.org/W3156183735","https://openalex.org/W3161024292","https://openalex.org/W3195015898","https://openalex.org/W4226494956","https://openalex.org/W4281986534","https://openalex.org/W4285491006","https://openalex.org/W4292060939","https://openalex.org/W4297326791","https://openalex.org/W4310663912","https://openalex.org/W4366334216","https://openalex.org/W4378893195","https://openalex.org/W4400940283"],"related_works":["https://openalex.org/W2330640442","https://openalex.org/W1544816068","https://openalex.org/W1975234065","https://openalex.org/W2171402820","https://openalex.org/W1965041963","https://openalex.org/W4307211006","https://openalex.org/W4293078000","https://openalex.org/W4290096735","https://openalex.org/W2356040851","https://openalex.org/W2605452465"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4}],"updated_date":"2026-01-25T23:04:38.658462","created_date":"2025-10-10T00:00:00"}
