{"id":"https://openalex.org/W4411493424","doi":"https://doi.org/10.1007/s12190-025-02554-5","title":"Time-space finite element analysis for time-space fractional parabolic problems involving spectral fractional Laplacian","display_name":"Time-space finite element analysis for time-space fractional parabolic problems involving spectral fractional Laplacian","publication_year":2025,"publication_date":"2025-06-20","ids":{"openalex":"https://openalex.org/W4411493424","doi":"https://doi.org/10.1007/s12190-025-02554-5"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-025-02554-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02554-5","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/A5103157941","display_name":"Yi Yang","orcid":"https://orcid.org/0000-0002-9187-9457"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]},{"id":"https://openalex.org/I6645349","display_name":"Southwest Minzu University","ror":"https://ror.org/04gaexw88","country_code":"CN","type":"education","lineage":["https://openalex.org/I6645349"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yi Yang","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, China","School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China","School of Mathematics, Southwest Minzu University, Chengdu, 610225, China","School of Mathematics, Southwest Minzu University, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0002-9187-9457","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"School of Mathematics, Southwest Minzu University, Chengdu, 610225, China","institution_ids":["https://openalex.org/I6645349"]},{"raw_affiliation_string":"School of Mathematics, Southwest Minzu University, Chengdu, China","institution_ids":["https://openalex.org/I6645349"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073127393","display_name":"Jin Huang","orcid":"https://orcid.org/0000-0002-2191-4739"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jin Huang","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, China","School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100332465","display_name":"Hongyan Liu","orcid":"https://orcid.org/0000-0002-4902-1078"},"institutions":[{"id":"https://openalex.org/I178232147","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916","country_code":"CN","type":"education","lineage":["https://openalex.org/I178232147"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongyan Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, China","School of Mathematics and Statistics, Guizhou University, Guiyang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, China","institution_ids":["https://openalex.org/I178232147"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Guizhou University, Guiyang, China","institution_ids":["https://openalex.org/I178232147"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100444599","display_name":"Hu Li","orcid":"https://orcid.org/0000-0001-8624-8792"},"institutions":[{"id":"https://openalex.org/I4210147228","display_name":"Chengdu Normal University","ror":"https://ror.org/04enz2k98","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210147228"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hu Li","raw_affiliation_strings":["School of Mathematics, Chengdu Normal University, Chengdu, 611130, China","School of Mathematics, Chengdu Normal University, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Chengdu Normal University, Chengdu, 611130, China","institution_ids":["https://openalex.org/I4210147228"]},{"raw_affiliation_string":"School of Mathematics, Chengdu Normal University, Chengdu, China","institution_ids":["https://openalex.org/I4210147228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5073127393","https://openalex.org/A5103157941"],"corresponding_institution_ids":["https://openalex.org/I150229711","https://openalex.org/I6645349"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.348,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.87451878,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"71","issue":"5","first_page":"6489","last_page":"6526"},"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":0.9943000078201294,"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/T10514","display_name":"Numerical methods in engineering","score":0.9919999837875366,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8268342018127441},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6449388861656189},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.630744218826294},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5526587963104248},{"id":"https://openalex.org/keywords/fractional-laplacian","display_name":"Fractional Laplacian","score":0.5129644274711609},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5031439661979675},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4913751184940338},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.4243055284023285},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.42260634899139404},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36266982555389404},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1036061942577362},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07090696692466736},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06838944554328918}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8268342018127441},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6449388861656189},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.630744218826294},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5526587963104248},{"id":"https://openalex.org/C2775913539","wikidata":"https://www.wikidata.org/wiki/Q30694381","display_name":"Fractional Laplacian","level":2,"score":0.5129644274711609},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5031439661979675},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4913751184940338},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.4243055284023285},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.42260634899139404},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36266982555389404},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1036061942577362},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07090696692466736},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06838944554328918},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-025-02554-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02554-5","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":46,"referenced_works":["https://openalex.org/W433794350","https://openalex.org/W1531503646","https://openalex.org/W1584611818","https://openalex.org/W1966793822","https://openalex.org/W1978354679","https://openalex.org/W1988571032","https://openalex.org/W2034839545","https://openalex.org/W2039785146","https://openalex.org/W2041540906","https://openalex.org/W2051182120","https://openalex.org/W2064361774","https://openalex.org/W2070505112","https://openalex.org/W2071268148","https://openalex.org/W2082621526","https://openalex.org/W2090157027","https://openalex.org/W2111271983","https://openalex.org/W2118816806","https://openalex.org/W2259227674","https://openalex.org/W2563784679","https://openalex.org/W2567904062","https://openalex.org/W2604707335","https://openalex.org/W2615091905","https://openalex.org/W2735733562","https://openalex.org/W2801192398","https://openalex.org/W2905383021","https://openalex.org/W2910387264","https://openalex.org/W2923916604","https://openalex.org/W2948924069","https://openalex.org/W2963055256","https://openalex.org/W2963309992","https://openalex.org/W2965184132","https://openalex.org/W2982546823","https://openalex.org/W3006626569","https://openalex.org/W3016295027","https://openalex.org/W3042698217","https://openalex.org/W3088272118","https://openalex.org/W3099709074","https://openalex.org/W3119218394","https://openalex.org/W3165128376","https://openalex.org/W3187328383","https://openalex.org/W3204708751","https://openalex.org/W3206352531","https://openalex.org/W4249287194","https://openalex.org/W4293659722","https://openalex.org/W4302819252","https://openalex.org/W4394008315"],"related_works":["https://openalex.org/W2082446734","https://openalex.org/W4313560640","https://openalex.org/W2253351617","https://openalex.org/W4246784705","https://openalex.org/W2385135781","https://openalex.org/W4386148387","https://openalex.org/W4320705263","https://openalex.org/W4288359299","https://openalex.org/W4387159293","https://openalex.org/W2943476270"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}