{"id":"https://openalex.org/W7380273","doi":"https://doi.org/10.1007/978-3-319-09900-2_5","title":"Fractional Linear Equations with Discrete Operators of Positive Order","display_name":"Fractional Linear Equations with Discrete Operators of Positive Order","publication_year":2014,"publication_date":"2014-08-16","ids":{"openalex":"https://openalex.org/W7380273","doi":"https://doi.org/10.1007/978-3-319-09900-2_5","mag":"7380273"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-09900-2_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-09900-2_5","pdf_url":null,"source":{"id":"https://openalex.org/S4210179954","display_name":"Lecture notes in electrical engineering","issn_l":"1876-1100","issn":["1876-1100","1876-1119"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Electrical Engineering","raw_type":"book-chapter"},"type":"book-chapter","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/A5002812156","display_name":"Dorota Mozyrska","orcid":"https://orcid.org/0000-0002-0664-4574"},"institutions":[{"id":"https://openalex.org/I1323121030","display_name":"Bialystok University of Technology","ror":"https://ror.org/02bzfsy61","country_code":"PL","type":"education","lineage":["https://openalex.org/I1323121030"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Dorota Mozyrska","raw_affiliation_strings":["Faculty of Computer Science, Bialystok University of Technology, Wiejska 45A, 15-351, Bia\u0142ystok, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, Bialystok University of Technology, Wiejska 45A, 15-351, Bia\u0142ystok, Poland","institution_ids":["https://openalex.org/I1323121030"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090243661","display_name":"Ma\u0142gorzata Wyrwas","orcid":"https://orcid.org/0000-0002-2003-7543"},"institutions":[{"id":"https://openalex.org/I1323121030","display_name":"Bialystok University of Technology","ror":"https://ror.org/02bzfsy61","country_code":"PL","type":"education","lineage":["https://openalex.org/I1323121030"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Ma\u0142gorzata Wyrwas","raw_affiliation_strings":["Faculty of Computer Science, Bialystok University of Technology, Wiejska 45A, 15-351, Bia\u0142ystok, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, Bialystok University of Technology, Wiejska 45A, 15-351, Bia\u0142ystok, Poland","institution_ids":["https://openalex.org/I1323121030"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002812156"],"corresponding_institution_ids":["https://openalex.org/I1323121030"],"apc_list":null,"apc_paid":null,"fwci":2.1028,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.92717087,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"47","last_page":"58"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9993000030517578,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9977999925613403,"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":0.9948999881744385,"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/mathematics","display_name":"Mathematics","score":0.8020976781845093},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.7184973955154419},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.6032703518867493},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5624860525131226},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4959944188594818},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4605490267276764},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4493194818496704},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4486168622970581},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3268469572067261},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05201655626296997}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8020976781845093},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.7184973955154419},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6032703518867493},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5624860525131226},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4959944188594818},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4605490267276764},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4493194818496704},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4486168622970581},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3268469572067261},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05201655626296997},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"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:10.1007/978-3-319-09900-2_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-09900-2_5","pdf_url":null,"source":{"id":"https://openalex.org/S4210179954","display_name":"Lecture notes in electrical engineering","issn_l":"1876-1100","issn":["1876-1100","1876-1119"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Electrical Engineering","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W103875785","https://openalex.org/W200701291","https://openalex.org/W1512097629","https://openalex.org/W1580284293","https://openalex.org/W1965801804","https://openalex.org/W1973577083","https://openalex.org/W1984646847","https://openalex.org/W1993468556","https://openalex.org/W1997859495","https://openalex.org/W2014337209","https://openalex.org/W2025282794","https://openalex.org/W2080773101","https://openalex.org/W2082811833","https://openalex.org/W2088303893","https://openalex.org/W2093196005","https://openalex.org/W2143991194","https://openalex.org/W2156215654","https://openalex.org/W2156552100","https://openalex.org/W2291343629","https://openalex.org/W3100222141","https://openalex.org/W3106382556","https://openalex.org/W4311526953","https://openalex.org/W4410282767"],"related_works":["https://openalex.org/W2019004897","https://openalex.org/W2054384926","https://openalex.org/W2148351559","https://openalex.org/W2963526848","https://openalex.org/W2966199516","https://openalex.org/W2905659518","https://openalex.org/W2204759409","https://openalex.org/W2004427275","https://openalex.org/W2962682765","https://openalex.org/W3102072267"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}