{"id":"https://openalex.org/W7133536663","doi":"https://doi.org/10.48550/arxiv.2603.02269","title":"A Stability Testing Algorithm for Incommensurate Fractional Differential Equation Systems","display_name":"A Stability Testing Algorithm for Incommensurate Fractional Differential Equation Systems","publication_year":2026,"publication_date":"2026-02-28","ids":{"openalex":"https://openalex.org/W7133536663","doi":"https://doi.org/10.48550/arxiv.2603.02269"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.02269","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.02269","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2603.02269","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089293723","display_name":"Kai Diethelm","orcid":"https://orcid.org/0000-0002-7276-454X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Diethelm, Kai","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5093418536","display_name":"Safoura Hashemishahraki","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hashemishahraki, Safoura","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.3917999863624573,"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":0.3917999863624573,"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":0.3709999918937683,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.04500000178813934,"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/stability","display_name":"Stability (learning theory)","score":0.6258999705314636},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5663999915122986},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5210999846458435},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4645000100135803},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.45019999146461487},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.4471000134944916},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.3646000027656555}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6258999705314636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5892000198364258},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5663999915122986},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5210999846458435},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4645000100135803},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46209999918937683},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.45019999146461487},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.4471000134944916},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44699999690055847},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.3646000027656555},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.35760000348091125},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3352999985218048},{"id":"https://openalex.org/C13982400","wikidata":"https://www.wikidata.org/wiki/Q1129902","display_name":"Linear differential equation","level":3,"score":0.3328000009059906},{"id":"https://openalex.org/C77346573","wikidata":"https://www.wikidata.org/wiki/Q484637","display_name":"Linear equation","level":2,"score":0.33250001072883606},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.29809999465942383},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2851000130176544},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.27090001106262207},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26420000195503235}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.02269","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.02269","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.02269","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.02269","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.6307629346847534}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,77],"consider":[1],"the":[2,35,38,42,47,81,87,117],"question":[3,69],"of":[4,12,34,37,83,89,116],"determining":[5],"whether":[6],"or":[7],"not":[8],"a":[9],"given":[10],"system":[11],"fractional-order":[13],"differential":[14],"equations":[15,40],"is":[16,71,119],"(asymptotically)":[17],"stable.":[18],"In":[19],"particular,":[20],"we":[21,45,58],"admit":[22],"systems":[23],"where":[24,86],"each":[25],"constituent":[26],"equation":[27],"may":[28],"have":[29],"its":[30],"own":[31],"order,":[32],"independent":[33],"order":[36],"other":[39],"in":[41,54,79],"system,":[43],"i.e.":[44],"discuss":[46,78],"so-called":[48],"incommensurate":[49],"case.":[50],"Exploiting":[51],"ideas":[52],"based":[53],"numerical":[55],"linear":[56,84],"algebra,":[57],"present":[59],"an":[60],"algorithm":[61],"that":[62,70],"can":[63,98],"be":[64,99],"used":[65,100],"to":[66,101,106],"answer":[67],"this":[68],"much":[72],"simpler":[73],"than":[74],"known":[75,96],"methods.":[76],"detail":[80],"case":[82],"problems":[85,109],"ratios":[88],"orders":[90],"are":[91],"rational":[92],"and":[93],"indicate":[94],"how":[95],"techniques":[97],"apply":[102],"our":[103],"findings":[104],"also":[105],"general":[107],"nonlinear":[108],"with":[110],"arbitrary":[111],"orders.":[112],"A":[113],"MATLAB":[114],"implementation":[115],"code":[118],"provided.":[120]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-03-05T00:00:00"}