{"id":"https://openalex.org/W3028689317","doi":"https://doi.org/10.1007/s11590-020-01601-3","title":"Existence of optimal solutions to Lagrange problems for ordinary control systems involving fractional Laplace operators","display_name":"Existence of optimal solutions to Lagrange problems for ordinary control systems involving fractional Laplace operators","publication_year":2020,"publication_date":"2020-05-31","ids":{"openalex":"https://openalex.org/W3028689317","doi":"https://doi.org/10.1007/s11590-020-01601-3","mag":"3028689317"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-020-01601-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11590-020-01601-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11590-020-01601-3.pdf","source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11590-020-01601-3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034897816","display_name":"Rafa\u0142 Kamocki","orcid":"https://orcid.org/0000-0002-7800-412X"},"institutions":[{"id":"https://openalex.org/I34250744","display_name":"University of \u0141\u00f3d\u017a","ror":"https://ror.org/05cq64r17","country_code":"PL","type":"education","lineage":["https://openalex.org/I34250744"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Rafa\u0142 Kamocki","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238, Lodz, Poland"],"raw_orcid":"https://orcid.org/0000-0002-7800-412X","affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238, Lodz, Poland","institution_ids":["https://openalex.org/I34250744"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034897816"],"corresponding_institution_ids":["https://openalex.org/I34250744"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.2924,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.47238576,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"15","issue":"2","first_page":"779","last_page":"801"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9990000128746033,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8274103403091431},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.6090964078903198},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.5447242856025696},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5211496353149414},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5023882389068604},{"id":"https://openalex.org/keywords/dirichlet-problem","display_name":"Dirichlet problem","score":0.4651741683483124},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4495134651660919},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.42681288719177246},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.405561625957489},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.20774492621421814},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.10784509778022766}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8274103403091431},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.6090964078903198},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.5447242856025696},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5211496353149414},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5023882389068604},{"id":"https://openalex.org/C2779560616","wikidata":"https://www.wikidata.org/wiki/Q1192869","display_name":"Dirichlet problem","level":3,"score":0.4651741683483124},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4495134651660919},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.42681288719177246},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.405561625957489},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.20774492621421814},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.10784509778022766},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-020-01601-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11590-020-01601-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11590-020-01601-3.pdf","source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11590-020-01601-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11590-020-01601-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11590-020-01601-3.pdf","source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323344","display_name":"Uniwersytet \u0141\u00f3dzki","ror":"https://ror.org/05cq64r17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3028689317.pdf","grobid_xml":"https://content.openalex.org/works/W3028689317.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W205040922","https://openalex.org/W1493657643","https://openalex.org/W1522699118","https://openalex.org/W1545761024","https://openalex.org/W1582283536","https://openalex.org/W1976659984","https://openalex.org/W2006455026","https://openalex.org/W2007602749","https://openalex.org/W2008557580","https://openalex.org/W2011095781","https://openalex.org/W2034647859","https://openalex.org/W2048787196","https://openalex.org/W2061652436","https://openalex.org/W2072045197","https://openalex.org/W2120713797","https://openalex.org/W2158845426","https://openalex.org/W2168741104","https://openalex.org/W2467388114","https://openalex.org/W2940682112","https://openalex.org/W2963436898","https://openalex.org/W2970884244","https://openalex.org/W4210374471","https://openalex.org/W4236893814","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2082446734","https://openalex.org/W3148881609","https://openalex.org/W4313560640","https://openalex.org/W4246784705","https://openalex.org/W4317627639","https://openalex.org/W4313396013","https://openalex.org/W3024206168","https://openalex.org/W3005643231","https://openalex.org/W4300200796","https://openalex.org/W2184854647"],"abstract_inverted_index":{"Abstract":[0],"In":[1,49],"this":[2],"paper,":[3],"we":[4,52],"study":[5],"optimal":[6,44],"control":[7,11,18],"problems":[8],"containing":[9],"ordinary":[10],"systems,":[12],"linear":[13],"with":[14],"respect":[15],"to":[16],"a":[17,29,38,54,57],"variable,":[19],"described":[20],"by":[21],"fractional":[22],"Dirichlet":[23],"and":[24,28],"Dirichlet\u2013Neumann":[25],"Laplace":[26],"operators":[27],"nonlinear":[30],"integral":[31,62],"performance":[32],"index.":[33],"The":[34],"main":[35],"result":[36],"is":[37],"theorem":[39],"on":[40],"the":[41],"existence":[42],"of":[43,56,61],"solutions":[45],"for":[46],"such":[47],"problems.":[48],"our":[50],"approach":[51],"use":[53],"characterization":[55],"weak":[58],"lower":[59],"semicontinuity":[60],"functionals.":[63]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}