{"id":"https://openalex.org/W2008627441","doi":"https://doi.org/10.1109/mmar.2013.6669978","title":"Compactness of fractional embeddings for boundary value problems","display_name":"Compactness of fractional embeddings for boundary value problems","publication_year":2013,"publication_date":"2013-08-01","ids":{"openalex":"https://openalex.org/W2008627441","doi":"https://doi.org/10.1109/mmar.2013.6669978","mag":"2008627441"},"language":"en","primary_location":{"id":"doi:10.1109/mmar.2013.6669978","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mmar.2013.6669978","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 18th International Conference on Methods &amp; Models in Automation &amp; Robotics (MMAR)","raw_type":"proceedings-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/A5074916704","display_name":"Dariusz Idczak","orcid":"https://orcid.org/0000-0003-1039-9812"},"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":"Dariusz Idczak","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, University of Lodz, Lodz, Poland","Fac. of Math. & Comput. Sci., Univ. of Lodz, Lodz, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Lodz, Lodz, Poland","institution_ids":["https://openalex.org/I34250744"]},{"raw_affiliation_string":"Fac. of Math. & Comput. Sci., Univ. of Lodz, Lodz, Poland","institution_ids":["https://openalex.org/I34250744"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055671579","display_name":"Marek Majewski","orcid":"https://orcid.org/0000-0003-4542-2592"},"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":false,"raw_author_name":"Marek Majewski","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, University of Lodz, Lodz, Poland","Fac. of Math. & Comput. Sci., Univ. of Lodz, Lodz, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Lodz, Lodz, Poland","institution_ids":["https://openalex.org/I34250744"]},{"raw_affiliation_string":"Fac. of Math. & Comput. Sci., Univ. of Lodz, Lodz, Poland","institution_ids":["https://openalex.org/I34250744"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074916704"],"corresponding_institution_ids":["https://openalex.org/I34250744"],"apc_list":null,"apc_paid":null,"fwci":0.4832,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62786397,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"599","last_page":"603"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","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/T12589","display_name":"Differential Equations and Boundary Problems","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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9997000098228455,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9994000196456909,"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/boundary-value-problem","display_name":"Boundary value problem","score":0.7115646004676819},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.6834326982498169},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6389496922492981},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5740501284599304},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5100160837173462},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4974870979785919},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47369861602783203},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.43613675236701965},{"id":"https://openalex.org/keywords/picard\u2013lindel\u00f6f-theorem","display_name":"Picard\u2013Lindel\u00f6f theorem","score":0.43412601947784424},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4277426600456238},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.32514649629592896}],"concepts":[{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.7115646004676819},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.6834326982498169},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6389496922492981},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5740501284599304},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5100160837173462},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4974870979785919},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47369861602783203},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.43613675236701965},{"id":"https://openalex.org/C206929604","wikidata":"https://www.wikidata.org/wiki/Q530152","display_name":"Picard\u2013Lindel\u00f6f theorem","level":3,"score":0.43412601947784424},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4277426600456238},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.32514649629592896},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/mmar.2013.6669978","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mmar.2013.6669978","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 18th International Conference on Methods &amp; Models in Automation &amp; Robotics (MMAR)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1530054495","https://openalex.org/W1584611818","https://openalex.org/W1587573511","https://openalex.org/W1983361333","https://openalex.org/W2027245811","https://openalex.org/W2141568688","https://openalex.org/W2963535971","https://openalex.org/W2964261594","https://openalex.org/W6631654290"],"related_works":["https://openalex.org/W4247891038","https://openalex.org/W2794663843","https://openalex.org/W2063125267","https://openalex.org/W2104305035","https://openalex.org/W787165528","https://openalex.org/W4281609555","https://openalex.org/W2977556127","https://openalex.org/W2393749796","https://openalex.org/W3012719972","https://openalex.org/W2523166691"],"abstract_inverted_index":{"In":[0],"the":[1,21,30],"paper":[2],"a":[3,8,37],"boundary":[4],"value":[5],"problem":[6,23],"for":[7],"fractional":[9,33],"differential":[10],"equation":[11],"is":[12,24],"considered.":[13],"A":[14],"theorem":[15,35],"on":[16],"existence":[17],"of":[18],"solutions":[19],"to":[20],"above":[22],"proved.":[25],"The":[26],"main":[27],"tools":[28],"in":[29],"proof":[31],"are":[32],"embeddings":[34],"and":[36],"variational":[38],"method.":[39]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}
