{"id":"https://openalex.org/W7125614217","doi":"https://doi.org/10.1016/j.cnsns.2026.109787","title":"Stability of fractional-order systems using the Marchaud derivative with a response depending on an infinite time interval of history","display_name":"Stability of fractional-order systems using the Marchaud derivative with a response depending on an infinite time interval of history","publication_year":2026,"publication_date":"2026-01-24","ids":{"openalex":"https://openalex.org/W7125614217","doi":"https://doi.org/10.1016/j.cnsns.2026.109787"},"language":"en","primary_location":{"id":"doi:10.1016/j.cnsns.2026.109787","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.109787","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","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/A5012285266","display_name":"Jacek Gulgowski","orcid":"https://orcid.org/0000-0002-7706-9263"},"institutions":[{"id":"https://openalex.org/I40413290","display_name":"University of Gda\u0144sk","ror":"https://ror.org/011dv8m48","country_code":"PL","type":"education","lineage":["https://openalex.org/I40413290"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Jacek Gulgowski","raw_affiliation_strings":["Faculty of Mathematics, Physics and Informatics, University of Gdansk, Wita Stwosza 57, Gdansk, 80-308, Poland"],"raw_orcid":"https://orcid.org/0000-0002-7706-9263","affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Physics and Informatics, University of Gdansk, Wita Stwosza 57, Gdansk, 80-308, Poland","institution_ids":["https://openalex.org/I40413290"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041652624","display_name":"Tomasz P. Stefa\u0144ski","orcid":"https://orcid.org/0000-0002-3952-5731"},"institutions":[{"id":"https://openalex.org/I169333911","display_name":"Gda\u0144sk University of Technology","ror":"https://ror.org/006x4sc24","country_code":"PL","type":"education","lineage":["https://openalex.org/I169333911"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Tomasz P. Stefa\u0144ski","raw_affiliation_strings":["Faculty of Electronics, Telecommunications and Informatics, Gdansk University of Technology, Narutowicza 11/12, Gdansk, 80-233, Poland"],"raw_orcid":"https://orcid.org/0000-0002-3952-5731","affiliations":[{"raw_affiliation_string":"Faculty of Electronics, Telecommunications and Informatics, Gdansk University of Technology, Narutowicza 11/12, Gdansk, 80-233, Poland","institution_ids":["https://openalex.org/I169333911"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041652624"],"corresponding_institution_ids":["https://openalex.org/I169333911"],"apc_list":{"value":3460,"currency":"USD","value_usd":3460},"apc_paid":null,"fwci":9.9485,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.95675236,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"157","issue":null,"first_page":"109787","last_page":"109787"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.7074000239372253,"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"}},"topics":[{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.7074000239372253,"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"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.2345000058412552,"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/T10244","display_name":"Chaos control and synchronization","score":0.02370000071823597,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6851999759674072},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6830999851226807},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.670799970626831},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.453900009393692},{"id":"https://openalex.org/keywords/stability-conditions","display_name":"Stability conditions","score":0.4422999918460846},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.4235000014305115},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.41280001401901245},{"id":"https://openalex.org/keywords/mathematical-model","display_name":"Mathematical model","score":0.38909998536109924}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6851999759674072},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6833000183105469},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6830999851226807},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.670799970626831},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5516999959945679},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.453900009393692},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.4422999918460846},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.4235000014305115},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.41280001401901245},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.38909998536109924},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.3833000063896179},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.38199999928474426},{"id":"https://openalex.org/C2779193601","wikidata":"https://www.wikidata.org/wiki/Q20026918","display_name":"Mathematical theory","level":2,"score":0.3662000000476837},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.35440000891685486},{"id":"https://openalex.org/C17685861","wikidata":"https://www.wikidata.org/wiki/Q6960532","display_name":"Time derivative","level":2,"score":0.30399999022483826},{"id":"https://openalex.org/C116672817","wikidata":"https://www.wikidata.org/wiki/Q1454986","display_name":"Physical system","level":2,"score":0.30000001192092896},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.2921999990940094},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.29120001196861267},{"id":"https://openalex.org/C2778925954","wikidata":"https://www.wikidata.org/wiki/Q16883749","display_name":"Stability criterion","level":3,"score":0.29089999198913574},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28870001435279846},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.2689000070095062},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2508000135421753}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cnsns.2026.109787","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.109787","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","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":35,"referenced_works":["https://openalex.org/W1835011340","https://openalex.org/W1976076329","https://openalex.org/W1978345715","https://openalex.org/W1979051137","https://openalex.org/W2005421374","https://openalex.org/W2031553914","https://openalex.org/W2036266090","https://openalex.org/W2050580331","https://openalex.org/W2053060970","https://openalex.org/W2053840485","https://openalex.org/W2058860728","https://openalex.org/W2060898914","https://openalex.org/W2065435836","https://openalex.org/W2093056734","https://openalex.org/W2149437568","https://openalex.org/W2513956580","https://openalex.org/W2651644158","https://openalex.org/W2746207388","https://openalex.org/W2777273533","https://openalex.org/W2790318515","https://openalex.org/W2962919888","https://openalex.org/W2990444984","https://openalex.org/W3047383886","https://openalex.org/W3097825839","https://openalex.org/W3102770794","https://openalex.org/W3156948298","https://openalex.org/W3193277842","https://openalex.org/W4200143959","https://openalex.org/W4210248045","https://openalex.org/W4210498216","https://openalex.org/W4399772038","https://openalex.org/W4402405217","https://openalex.org/W4403024367","https://openalex.org/W4410840581","https://openalex.org/W4412972823"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-14T07:44:22.658603","created_date":"2026-01-25T00:00:00"}
