{"id":"https://openalex.org/W4293479587","doi":"https://doi.org/10.1007/s10958-022-06060-y","title":"Inverse Problem for the Fractional Diffusion Equation in Schwarz-Type Spaces","display_name":"Inverse Problem for the Fractional Diffusion Equation in Schwarz-Type Spaces","publication_year":2022,"publication_date":"2022-08-01","ids":{"openalex":"https://openalex.org/W4293479587","doi":"https://doi.org/10.1007/s10958-022-06060-y"},"language":"en","primary_location":{"id":"doi:10.1007/s10958-022-06060-y","doi":"https://doi.org/10.1007/s10958-022-06060-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10958-022-06060-y","pdf_url":null,"source":{"id":"https://openalex.org/S83211391","display_name":"Journal of Mathematical Sciences","issn_l":"1072-3374","issn":["1072-3374","1072-1964","1573-8795"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-scientific","jufo-1","norway-1","poland-40","russia-white-list-4","vabb-shw"],"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 Mathematical Sciences","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5071522187","display_name":"Andriy Lopushansky","orcid":"https://orcid.org/0000-0002-1448-964X","observed_orcids":["https://orcid.org/0000-0002-1448-964X"]},"institutions":[{"id":"https://openalex.org/I98559091","display_name":"University of Rzesz\u00f3w","ror":"https://ror.org/03pfsnq21","country_code":"PL","type":"education","lineage":["https://openalex.org/I98559091"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"\u0410. \u041e. Lopushansky","raw_affiliation_strings":["Rzesz\u00f3w University, Rzesz\u00f3w, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rzesz\u00f3w University, Rzesz\u00f3w, Poland","institution_ids":["https://openalex.org/I98559091"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000482760","display_name":"Halyna Lopushanska","orcid":"https://orcid.org/0000-0003-0510-7766","observed_orcids":["https://orcid.org/0000-0003-0510-7766"]},"institutions":[{"id":"https://openalex.org/I200280692","display_name":"Lviv University","ror":"https://ror.org/01s7y5e82","country_code":"UA","type":"education","lineage":["https://openalex.org/I200280692"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"H. P. Lopushanska","raw_affiliation_strings":["I. Franko National University of Lviv, Lviv, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"I. Franko National University of Lviv, Lviv, Ukraine","institution_ids":["https://openalex.org/I200280692"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5000482760"],"corresponding_institution_ids":["https://openalex.org/I200280692"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.816,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.62401066,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"265","issue":"3","first_page":"394","last_page":"407"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9326000213623047,"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":0.9326000213623047,"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":0.04390000179409981,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.01080000028014183,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/inverse-problems","display_name":"inverse problems","score":0.9139999747276306},{"id":"https://openalex.org/keywords/fractional-diffusion-equation","display_name":"fractional diffusion equation","score":0.9980000257492065},{"id":"https://openalex.org/keywords/caputo-fractional-derivative","display_name":"Caputo fractional derivative","score":0.8920000195503235},{"id":"https://openalex.org/keywords/time-fractional-derivative","display_name":"time-fractional derivative","score":0.7149999737739563},{"id":"https://openalex.org/keywords/overdetermination-conditions","display_name":"overdetermination conditions","score":0.8510000109672546},{"id":"https://openalex.org/keywords/integral-overdetermination-condition","display_name":"integral overdetermination condition","score":0.8059999942779541},{"id":"https://openalex.org/keywords/uniqueness-of-solutions","display_name":"uniqueness of solutions","score":0.7310000061988831}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9134827852249146},{"id":"https://openalex.org/C2777268402","wikidata":"https://www.wikidata.org/wiki/Q331449","display_name":"Overdetermination","level":2,"score":0.7630741596221924},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6982016563415527},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6464325189590454},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.6379857063293457},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5580339431762695},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5536884069442749},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.488827645778656},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.45478948950767517},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4361749589443207},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.43414101004600525},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34040531516075134},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05007827281951904},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10958-022-06060-y","doi":"https://doi.org/10.1007/s10958-022-06060-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10958-022-06060-y","pdf_url":null,"source":{"id":"https://openalex.org/S83211391","display_name":"Journal of Mathematical Sciences","issn_l":"1072-3374","issn":["1072-3374","1072-1964","1573-8795"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-scientific","jufo-1","norway-1","poland-40","russia-white-list-4","vabb-shw"],"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 Mathematical Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W633878627","https://openalex.org/W1998454237","https://openalex.org/W2006007488","https://openalex.org/W2022685032","https://openalex.org/W2028355776","https://openalex.org/W2041540906","https://openalex.org/W2081531908","https://openalex.org/W2181344213","https://openalex.org/W2211069905","https://openalex.org/W2291960678","https://openalex.org/W2516680253","https://openalex.org/W2619263162","https://openalex.org/W2777887830","https://openalex.org/W4399271541"],"related_works":["https://openalex.org/W4407059325","https://openalex.org/W2936564591","https://openalex.org/W4393852770","https://openalex.org/W2973001793","https://openalex.org/W4379797057","https://openalex.org/W4403336643","https://openalex.org/W4390392223","https://openalex.org/W3117641626","https://openalex.org/W4406378756","https://openalex.org/W2532690510"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-09-21T07:43:02.447757","created_date":"2022-08-29T00:00:00"}