{"id":"https://openalex.org/W4416785069","doi":"https://doi.org/10.1007/s12190-025-02691-x","title":"A Hermite Block-pulse hybrid method for nonlinear fractional optimal control problems","display_name":"A Hermite Block-pulse hybrid method for nonlinear fractional optimal control problems","publication_year":2025,"publication_date":"2025-11-28","ids":{"openalex":"https://openalex.org/W4416785069","doi":"https://doi.org/10.1007/s12190-025-02691-x"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-025-02691-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02691-x","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/A5100315907","display_name":"Yue Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yue Sun","raw_affiliation_strings":["Hebei Provincial Key Laboratory of Parallel Robot and Mechatronic System, Yanshan University, Qinhuangdao, Hebei, 066004, China","School of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, 066004, China"],"affiliations":[{"raw_affiliation_string":"Hebei Provincial Key Laboratory of Parallel Robot and Mechatronic System, Yanshan University, Qinhuangdao, Hebei, 066004, China","institution_ids":["https://openalex.org/I39333907"]},{"raw_affiliation_string":"School of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, 066004, China","institution_ids":["https://openalex.org/I39333907"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087212223","display_name":"Yanzhi Zhao","orcid":"https://orcid.org/0000-0003-4712-2083"},"institutions":[{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanzhi Zhao","raw_affiliation_strings":["Hebei Provincial Key Laboratory of Parallel Robot and Mechatronic System, Yanshan University, Qinhuangdao, Hebei, 066004, China","School of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, 066004, China"],"affiliations":[{"raw_affiliation_string":"Hebei Provincial Key Laboratory of Parallel Robot and Mechatronic System, Yanshan University, Qinhuangdao, Hebei, 066004, China","institution_ids":["https://openalex.org/I39333907"]},{"raw_affiliation_string":"School of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, 066004, China","institution_ids":["https://openalex.org/I39333907"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037783994","display_name":"Hongnian Yu","orcid":"https://orcid.org/0000-0003-2894-2086"},"institutions":[{"id":"https://openalex.org/I251738","display_name":"Edinburgh Napier University","ror":"https://ror.org/03zjvnn91","country_code":"GB","type":"education","lineage":["https://openalex.org/I251738"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Hongnian Yu","raw_affiliation_strings":["School of Computing, Engineering and the Built Environment, Edinburgh Napier University, Edinburgh, EH10 5DT, UK"],"affiliations":[{"raw_affiliation_string":"School of Computing, Engineering and the Built Environment, Edinburgh Napier University, Edinburgh, EH10 5DT, UK","institution_ids":["https://openalex.org/I251738"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100403615","display_name":"Rui Chen","orcid":"https://orcid.org/0000-0001-9867-3374"},"institutions":[{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rui Chen","raw_affiliation_strings":["Hebei Provincial Key Laboratory of Parallel Robot and Mechatronic System, Yanshan University, Qinhuangdao, Hebei, 066004, China","School of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, 066004, China"],"affiliations":[{"raw_affiliation_string":"Hebei Provincial Key Laboratory of Parallel Robot and Mechatronic System, Yanshan University, Qinhuangdao, Hebei, 066004, China","institution_ids":["https://openalex.org/I39333907"]},{"raw_affiliation_string":"School of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, 066004, China","institution_ids":["https://openalex.org/I39333907"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100875703","display_name":"Hongfei Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongfei Zhao","raw_affiliation_strings":["Hebei Provincial Key Laboratory of Parallel Robot and Mechatronic System, Yanshan University, Qinhuangdao, Hebei, 066004, China","School of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, 066004, China"],"affiliations":[{"raw_affiliation_string":"Hebei Provincial Key Laboratory of Parallel Robot and Mechatronic System, Yanshan University, Qinhuangdao, Hebei, 066004, China","institution_ids":["https://openalex.org/I39333907"]},{"raw_affiliation_string":"School of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, 066004, China","institution_ids":["https://openalex.org/I39333907"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100315907"],"corresponding_institution_ids":["https://openalex.org/I39333907"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.517822,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.33009999990463257,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.33009999990463257,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.29989999532699585,"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/T11081","display_name":"Advanced Control Systems Design","score":0.1868000030517578,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/optimal-control","display_name":"Optimal control","score":0.5697000026702881},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.569100022315979},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5205000042915344},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5110999941825867},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.47929999232292175},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.43779999017715454},{"id":"https://openalex.org/keywords/matrix-exponential","display_name":"Matrix exponential","score":0.4296000003814697},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.41370001435279846},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.38530001044273376},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.3564999997615814}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.756600022315979},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5697000026702881},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.569100022315979},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5205000042915344},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5110999941825867},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.47929999232292175},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4645000100135803},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43799999356269836},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.43779999017715454},{"id":"https://openalex.org/C195906000","wikidata":"https://www.wikidata.org/wiki/Q1191722","display_name":"Matrix exponential","level":3,"score":0.4296000003814697},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.41370001435279846},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.38530001044273376},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.3564999997615814},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.3479999899864197},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.3422999978065491},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.326200008392334},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.32409998774528503},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.31049999594688416},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.2989000082015991},{"id":"https://openalex.org/C169069869","wikidata":"https://www.wikidata.org/wiki/Q5477546","display_name":"Fractional programming","level":4,"score":0.2962999939918518},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.2953999936580658},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.2840999960899353},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.28209999203681946},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.2809000015258789},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.2732999920845032},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.2702000141143799},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.26170000433921814},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.25619998574256897},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.25380000472068787},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.25279998779296875}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-025-02691-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02691-x","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":33,"referenced_works":["https://openalex.org/W1978349032","https://openalex.org/W1992888898","https://openalex.org/W2008599992","https://openalex.org/W2058860728","https://openalex.org/W2095835509","https://openalex.org/W2103319692","https://openalex.org/W2111739564","https://openalex.org/W2337336857","https://openalex.org/W2730675245","https://openalex.org/W2967615194","https://openalex.org/W3022440555","https://openalex.org/W3034105206","https://openalex.org/W3034811665","https://openalex.org/W3036369651","https://openalex.org/W3089961577","https://openalex.org/W3134613120","https://openalex.org/W3175290583","https://openalex.org/W3202018669","https://openalex.org/W3216307304","https://openalex.org/W4205515011","https://openalex.org/W4220769889","https://openalex.org/W4224216550","https://openalex.org/W4285389471","https://openalex.org/W4292068701","https://openalex.org/W4306152207","https://openalex.org/W4311619520","https://openalex.org/W4313597401","https://openalex.org/W4320485674","https://openalex.org/W4324295726","https://openalex.org/W4381489115","https://openalex.org/W4396217436","https://openalex.org/W4399971863","https://openalex.org/W4407758664"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-12-01T00:03:43.161839","created_date":"2025-11-28T00:00:00"}