{"id":"https://openalex.org/W4319459652","doi":"https://doi.org/10.1088/1402-4896/acba5d","title":"A novel fractal-fractional analysis of the stellar helium burning network using extended operational matrix method","display_name":"A novel fractal-fractional analysis of the stellar helium burning network using extended operational matrix method","publication_year":2023,"publication_date":"2023-02-08","ids":{"openalex":"https://openalex.org/W4319459652","doi":"https://doi.org/10.1088/1402-4896/acba5d"},"language":"en","primary_location":{"id":"doi:10.1088/1402-4896/acba5d","doi":"https://doi.org/10.1088/1402-4896/acba5d","is_oa":false,"landing_page_url":"https://doi.org/10.1088/1402-4896/acba5d","pdf_url":null,"source":{"id":"https://openalex.org/S59012888","display_name":"Physica Scripta","issn_l":"0031-8949","issn":["0031-8949","1402-4896"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","ki-jl-1","norway-1","poland-40","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physica Scripta","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/A5078015370","display_name":"A. M. Shloof","orcid":"https://orcid.org/0000-0002-6574-7581","observed_orcids":["https://orcid.org/0000-0002-6574-7581"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A M Shloof","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054484335","display_name":"Norazak Senu","orcid":"https://orcid.org/0000-0001-8614-8281","observed_orcids":["https://orcid.org/0000-0001-8614-8281"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"N Senu","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-8614-8281","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028762211","display_name":"Ali Ahmadian","orcid":"https://orcid.org/0000-0002-0106-7050","observed_orcids":["https://orcid.org/0000-0002-0106-7050"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A Ahmadian","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-0106-7050","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085970263","display_name":"Mohamed I. Nouh","orcid":"https://orcid.org/0000-0002-8037-6328","observed_orcids":["https://orcid.org/0000-0002-8037-6328"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M I Nouh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5085181870","display_name":"Soheil Salahshour","orcid":"https://orcid.org/0000-0003-1390-3551","observed_orcids":["https://orcid.org/0000-0003-1390-3551"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S Salahshour","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1390-3551","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2220,"currency":"USD","value_usd":2220},"apc_paid":null,"fwci":1.7644,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.81659826,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":97},"biblio":{"volume":"98","issue":"3","first_page":"034004","last_page":"034004"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9247999787330627,"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":0.9247999787330627,"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/T10039","display_name":"Stellar, planetary, and galactic studies","score":0.01759999990463257,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10093","display_name":"Nuclear physics research studies","score":0.00839999970048666,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/helium-burning","display_name":"helium burning","score":0.6669999957084656},{"id":"https://openalex.org/keywords/stellar-nucleosynthesis","display_name":"stellar nucleosynthesis","score":0.9449999928474426},{"id":"https://openalex.org/keywords/fractal-fractional-differential-equations","display_name":"fractal-fractional differential equations","score":0.9639999866485596},{"id":"https://openalex.org/keywords/pade-approximants","display_name":"Pad\u00e9 approximants","score":0.9290000200271606},{"id":"https://openalex.org/keywords/stellar-evolution","display_name":"stellar evolution","score":0.43799999356269836},{"id":"https://openalex.org/keywords/fractional-derivative-model","display_name":"fractional derivative model","score":0.4169999957084656}],"concepts":[{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.7484771013259888},{"id":"https://openalex.org/C546029482","wikidata":"https://www.wikidata.org/wiki/Q560","display_name":"Helium","level":2,"score":0.5892174243927002},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5454108119010925},{"id":"https://openalex.org/C522602180","wikidata":"https://www.wikidata.org/wiki/Q654","display_name":"Neon","level":3,"score":0.5201404690742493},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.48991698026657104},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4589169919490814},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.45731234550476074},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4431781768798828},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3387283682823181},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2968548536300659},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.2663692235946655},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22989380359649658},{"id":"https://openalex.org/C184779094","wikidata":"https://www.wikidata.org/wiki/Q26383","display_name":"Atomic physics","level":1,"score":0.19630885124206543},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11433413624763489},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C547737533","wikidata":"https://www.wikidata.org/wiki/Q696","display_name":"Argon","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1088/1402-4896/acba5d","doi":"https://doi.org/10.1088/1402-4896/acba5d","is_oa":false,"landing_page_url":"https://doi.org/10.1088/1402-4896/acba5d","pdf_url":null,"source":{"id":"https://openalex.org/S59012888","display_name":"Physica Scripta","issn_l":"0031-8949","issn":["0031-8949","1402-4896"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","ki-jl-1","norway-1","poland-40","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physica Scripta","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1975383112","https://openalex.org/W1979719431","https://openalex.org/W1992993464","https://openalex.org/W1994924020","https://openalex.org/W2015413102","https://openalex.org/W2026546031","https://openalex.org/W2056987877","https://openalex.org/W2070690604","https://openalex.org/W2091447771","https://openalex.org/W2120808760","https://openalex.org/W2124181450","https://openalex.org/W2169253851","https://openalex.org/W2169364154","https://openalex.org/W2266990400","https://openalex.org/W2290858626","https://openalex.org/W2338175498","https://openalex.org/W2556784265","https://openalex.org/W2605545968","https://openalex.org/W2764093231","https://openalex.org/W2765729625","https://openalex.org/W2776850568","https://openalex.org/W2916547591","https://openalex.org/W2933898494","https://openalex.org/W2955501717","https://openalex.org/W3011722031","https://openalex.org/W3034450074","https://openalex.org/W3106020198","https://openalex.org/W3115338468","https://openalex.org/W3157994555","https://openalex.org/W3197914000","https://openalex.org/W4211244194","https://openalex.org/W4212956481","https://openalex.org/W4213053787","https://openalex.org/W4311441451"],"related_works":["https://openalex.org/W3115338468","https://openalex.org/W2765729625","https://openalex.org/W4213053787","https://openalex.org/W1994924020","https://openalex.org/W4388962536","https://openalex.org/W87677680","https://openalex.org/W7203825132","https://openalex.org/W7056441112","https://openalex.org/W6949765091","https://openalex.org/W7100644707"],"abstract_inverted_index":{"Abstract":[0],"The":[1,48,65,120],"second":[2],"stage,":[3,21],"in":[4,11,56,79],"which":[5],"the":[6,15,39,57,69,129,146],"star":[7],"uses":[8],"nuclear":[9,125],"fuel":[10],"its":[12],"interior,":[13],"represents":[14],"helium":[16,40],"burning":[17,41,126],"phase.":[18],"At":[19],"that":[20,123],"three":[22],"elements":[23,71],"are":[24,88,109],"synthesised:":[25],"carbon,":[26,73],"oxygen,":[27],"and":[28,75,95,111,142,145],"neon.":[29],"This":[30],"paper":[31],"aims":[32],"to":[33,99],"establish":[34],"a":[35,60,80,152],"numerical":[36],"solution":[37,58],"for":[38],"system":[42,61],"(HBN)":[43],"fractal-fractional":[44,105,112,131],"differential":[45,63],"equations":[46],"(FFDEs).":[47],"extended":[49],"operative":[50],"matrix":[51],"method":[52],"(OM)":[53],"is":[54,118],"employed":[55],"of":[59,62,68,82],"equations.":[64],"product":[66,116],"abundances":[67,117],"four":[70],"(helium,":[72],"oxygen":[74],"neon)":[76],"were":[77],"obtained":[78],"form":[81],"divergent":[83,86],"series.":[84],"These":[85],"series":[87],"then":[89],"accelerated":[90],"using":[91],"Euler-Abell":[92],"transformation":[93],"(EUAT)":[94],"Pade":[96],"approximation":[97],"(EUAT-PA)":[98],"obtain":[100],"more":[101],"reliable":[102],"results.":[103],"Nine":[104],"(FF)":[106],"gas":[107],"models":[108,149],"calculated,":[110],"parameters\u2019":[113],"influence":[114],"on":[115,155],"discussed.":[119],"findings":[121],"show":[122],"modeling":[124],"networks":[127],"with":[128],"OM":[130],"derivative":[132],"produces":[133],"excellent":[134],"results,":[135],"establishing":[136],"it":[137],"as":[138],"an":[139],"accurate,":[140],"resilient,":[141],"trustworthy":[143],"approach,":[144],"fractional":[147],"HB":[148],"can":[150],"have":[151],"considerable":[153],"impact":[154],"stellar":[156],"model":[157],"calculations.":[158]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2023-02-09T00:00:00"}