{"id":"https://openalex.org/W4404874516","doi":"https://doi.org/10.15849/ijasca.241130.16","title":"Analysis of the Effect of White Noise on the Halvorsen System of Variable-Order Fractional Derivatives Using a Novel Numerical Method","display_name":"Analysis of the Effect of White Noise on the Halvorsen System of Variable-Order Fractional Derivatives Using a Novel Numerical Method","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4404874516","doi":"https://doi.org/10.15849/ijasca.241130.16"},"language":"en","primary_location":{"id":"doi:10.15849/ijasca.241130.16","doi":"https://doi.org/10.15849/ijasca.241130.16","is_oa":true,"landing_page_url":"https://doi.org/10.15849/ijasca.241130.16","pdf_url":"https://doi.org/10.15849/ijasca.241130.16","source":{"id":"https://openalex.org/S4210218840","display_name":"International Journal of Advances in Soft Computing and its Applications","issn_l":"2074-8523","issn":["2074-8523","2710-1274"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["poland-40","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Advances in Soft Computing and its Applications","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.15849/ijasca.241130.16","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076170200","display_name":"Mohammed Berir","orcid":"https://orcid.org/0000-0002-5762-3474","observed_orcids":["https://orcid.org/0000-0002-5762-3474"]},"institutions":[{"id":"https://openalex.org/I3129221262","display_name":"University of Bakhtalruda","ror":"https://ror.org/02cxvat25","country_code":"SD","type":"education","lineage":["https://openalex.org/I3129221262"]},{"id":"https://openalex.org/I52207611","display_name":"Al Baha University","ror":"https://ror.org/0403jak37","country_code":"SA","type":"education","lineage":["https://openalex.org/I52207611"]}],"countries":["SA","SD"],"is_corresponding":true,"raw_author_name":"Mohammed Berir1","raw_affiliation_strings":["Department of Mathematics , Faculty of Science , Al-Baha University , Al-Baha , Saudi Arabia","Department of mathematics , Faculty of Science , Bakht Al-Ruda University , Duwaym , Sudan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Faculty of Science , Al-Baha University , Al-Baha , Saudi Arabia","institution_ids":["https://openalex.org/I52207611"]},{"raw_affiliation_string":"Department of mathematics , Faculty of Science , Bakht Al-Ruda University , Duwaym , Sudan","institution_ids":["https://openalex.org/I3129221262"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076170200"],"corresponding_institution_ids":["https://openalex.org/I3129221262","https://openalex.org/I52207611"],"apc_list":null,"apc_paid":null,"fwci":3.0712,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.9330622,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"16","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.7250999808311462,"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"}},"topics":[{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.7250999808311462,"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"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.19480000436306,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.023800000548362732,"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/variable-order-fractional-derivative","display_name":"variable-order fractional derivative","score":0.9900000095367432},{"id":"https://openalex.org/keywords/white-noise","display_name":"white noise","score":0.9459999799728394},{"id":"https://openalex.org/keywords/chaotic-systems","display_name":"chaotic systems","score":0.6460000276565552},{"id":"https://openalex.org/keywords/noise-induced-chaos","display_name":"noise-induced chaos","score":0.5450000166893005},{"id":"https://openalex.org/keywords/chaos-stabilization","display_name":"chaos stabilization","score":0.6169999837875366},{"id":"https://openalex.org/keywords/fractional-differential-equations","display_name":"fractional differential equations","score":0.890999972820282}],"concepts":[{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.6582180261611938},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6270726919174194},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5704173445701599},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48167693614959717},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.44296449422836304},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4145967662334442},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4136078357696533},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29954081773757935},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25972771644592285},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19686612486839294},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08122575283050537},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.15849/ijasca.241130.16","doi":"https://doi.org/10.15849/ijasca.241130.16","is_oa":true,"landing_page_url":"https://doi.org/10.15849/ijasca.241130.16","pdf_url":"https://doi.org/10.15849/ijasca.241130.16","source":{"id":"https://openalex.org/S4210218840","display_name":"International Journal of Advances in Soft Computing and its Applications","issn_l":"2074-8523","issn":["2074-8523","2710-1274"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["poland-40","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Advances in Soft Computing and its Applications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.15849/ijasca.241130.16","doi":"https://doi.org/10.15849/ijasca.241130.16","is_oa":true,"landing_page_url":"https://doi.org/10.15849/ijasca.241130.16","pdf_url":"https://doi.org/10.15849/ijasca.241130.16","source":{"id":"https://openalex.org/S4210218840","display_name":"International Journal of Advances in Soft Computing and its Applications","issn_l":"2074-8523","issn":["2074-8523","2710-1274"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["poland-40","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Advances in Soft Computing and its Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404874516.pdf","grobid_xml":"https://content.openalex.org/works/W4404874516.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W2266990400","https://openalex.org/W4206116562"],"related_works":["https://openalex.org/W4403933974","https://openalex.org/W4409817224","https://openalex.org/W3204609115","https://openalex.org/W7140322080","https://openalex.org/W2888225866","https://openalex.org/W2151126068","https://openalex.org/W2514525785","https://openalex.org/W762656843","https://openalex.org/W4320478899","https://openalex.org/W4415026386"],"abstract_inverted_index":{"The":[0,27,31],"Halvorsen":[1,38,45,87,117],"System":[2,39,46],"(HS)":[3],"of":[4,24,33,40,68,76],"Variable-Order":[5],"(VO)":[6,41,115],"Fractional":[7,42],"Derivatives":[8],"is":[9,47],"a":[10,65],"potent":[11],"instrument":[12],"for":[13],"fractional":[14,116],"differential":[15],"equations":[16],"and":[17,55,83,93],"chaotic":[18,86,114],"systems":[19],"due":[20],"to":[21,63,97,111],"the":[22,37,44,58,74,85,100,104,113],"influence":[23],"white":[25,101],"noise.":[26],"study":[28],"focuses":[29],"on":[30,36],"Effect":[32],"White":[34],"Noise":[35],"Because":[43],"extensively":[48],"utilized":[49],"in":[50],"nonlinear":[51],"optics,":[52],"fluid":[53],"dynamics,":[54],"plasma":[56],"physics,":[57],"chaos":[59],"can":[60],"be":[61],"employed":[62],"investigate":[64],"wide":[66],"array":[67],"relevant":[69],"physical":[70],"processes.":[71],"To":[72],"analyze":[73],"impact":[75],"noise":[77,81,102],"we":[78],"deduce":[79],"that":[80],"influences":[82,103],"stabilizes":[84],"system.":[88,118],"We":[89,107],"plotted":[90],"numerous":[91],"3D":[92],"2D":[94],"graphical":[95],"representations":[96],"explain":[98],"how":[99],"chaotically":[105],"systems.":[106],"applied":[108],"these":[109],"schemes":[110],"simulate":[112]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":17}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2024-11-30T00:00:00"}