{"id":"https://openalex.org/W2191708545","doi":"https://doi.org/10.1016/j.cnsns.2015.11.020","title":"Noether symmetries and conserved quantities for fractional Birkhoffian systems with time delay","display_name":"Noether symmetries and conserved quantities for fractional Birkhoffian systems with time delay","publication_year":2015,"publication_date":"2015-12-04","ids":{"openalex":"https://openalex.org/W2191708545","doi":"https://doi.org/10.1016/j.cnsns.2015.11.020","mag":"2191708545"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2015.11.020","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5091383480","display_name":"Xiang-Hua Zhai","orcid":"https://orcid.org/0000-0002-9051-8203"},"institutions":[{"id":"https://openalex.org/I308837","display_name":"Suzhou University of Science and Technology","ror":"https://ror.org/04en8wb91","country_code":"CN","type":"education","lineage":["https://openalex.org/I308837"]},{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiang-Hua Zhai","raw_affiliation_strings":["College of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009, Jiangsu, People's Republic of China","College of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009, Jiangsu, People's Republic of China","institution_ids":["https://openalex.org/I308837"]},{"raw_affiliation_string":"College of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, People's Republic of China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106079944","display_name":"Yi Zhang","orcid":"https://orcid.org/0000-0002-7703-1185"},"institutions":[{"id":"https://openalex.org/I308837","display_name":"Suzhou University of Science and Technology","ror":"https://ror.org/04en8wb91","country_code":"CN","type":"education","lineage":["https://openalex.org/I308837"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yi Zhang","raw_affiliation_strings":["College of Civil Engineering, Suzhou University of Science and Technology, Suzhou 215011, Jiangsu, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Civil Engineering, Suzhou University of Science and Technology, Suzhou 215011, Jiangsu, People's Republic of China","institution_ids":["https://openalex.org/I308837"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5106079944"],"corresponding_institution_ids":["https://openalex.org/I308837"],"apc_list":{"value":3460,"currency":"USD","value_usd":3460,"provenance":"doaj"},"apc_paid":null,"fwci":1.79,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":32,"citation_normalized_percentile":{"value":0.916673,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":94},"biblio":{"volume":"36","issue":null,"first_page":"81","last_page":"97"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9997,"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"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9997,"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"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9996,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9948,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/conserved-quantity","display_name":"Conserved quantity","score":0.81779516}],"concepts":[{"id":"https://openalex.org/C80892491","wikidata":"https://www.wikidata.org/wiki/Q578555","display_name":"Noether's theorem","level":3,"score":0.99045277},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.82348216},{"id":"https://openalex.org/C71914180","wikidata":"https://www.wikidata.org/wiki/Q1071013","display_name":"Conserved quantity","level":2,"score":0.81779516},{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.7937361},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.65668815},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.54206324},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5120092},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.46909177},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.4304232},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3605181},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.34132558},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30391923},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2494044},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07859665},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05591762}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2015.11.020","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"10972151"},{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"11272227"},{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"11572212"}],"datasets":[],"versions":[],"referenced_works_count":58,"referenced_works":["https://openalex.org/W1584611818","https://openalex.org/W1963832640","https://openalex.org/W1965504976","https://openalex.org/W1968310558","https://openalex.org/W1971062640","https://openalex.org/W1973387098","https://openalex.org/W1974233525","https://openalex.org/W1974310911","https://openalex.org/W1974367765","https://openalex.org/W1982287330","https://openalex.org/W1983825517","https://openalex.org/W1985089688","https://openalex.org/W1989125489","https://openalex.org/W1993643789","https://openalex.org/W1994583513","https://openalex.org/W1995746029","https://openalex.org/W2010839338","https://openalex.org/W2013156026","https://openalex.org/W2015882123","https://openalex.org/W2018355253","https://openalex.org/W2022499714","https://openalex.org/W2025363446","https://openalex.org/W2029199104","https://openalex.org/W2031170357","https://openalex.org/W2032666700","https://openalex.org/W2039421388","https://openalex.org/W2051366210","https://openalex.org/W2052679817","https://openalex.org/W2065278715","https://openalex.org/W2068002984","https://openalex.org/W2068345729","https://openalex.org/W2080205875","https://openalex.org/W2084795903","https://openalex.org/W2084857775","https://openalex.org/W2084958729","https://openalex.org/W2086094964","https://openalex.org/W2087791852","https://openalex.org/W2090852081","https://openalex.org/W2099828728","https://openalex.org/W2111739564","https://openalex.org/W2116020726","https://openalex.org/W2122552263","https://openalex.org/W2137222429","https://openalex.org/W2204384345","https://openalex.org/W2280167180","https://openalex.org/W2330465526","https://openalex.org/W2364053636","https://openalex.org/W2367225168","https://openalex.org/W2367366335","https://openalex.org/W2787959293","https://openalex.org/W2962785683","https://openalex.org/W3098174335","https://openalex.org/W3104502656","https://openalex.org/W3105494195","https://openalex.org/W3113410918","https://openalex.org/W3143640764","https://openalex.org/W4242424438","https://openalex.org/W591434585"],"related_works":["https://openalex.org/W4245538580","https://openalex.org/W3139181228","https://openalex.org/W2392135473","https://openalex.org/W2368598275","https://openalex.org/W2317016502","https://openalex.org/W2259127658","https://openalex.org/W2087188201","https://openalex.org/W2004528006","https://openalex.org/W1998575780","https://openalex.org/W1967212527"],"abstract_inverted_index":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2191708545","counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2024-12-28T09:24:01.753098","created_date":"2016-06-24"}