{"id":"https://openalex.org/W7204249729","doi":"https://doi.org/10.1088/2399-6528/ae9f14","title":"Positive Baskakov\u2013Schurer\u2013Stancu approximation for local truncated m -fractional source+ problems","display_name":"Positive Baskakov\u2013Schurer\u2013Stancu approximation for local truncated m -fractional source+ problems","publication_year":2026,"publication_date":"2026-08-26","ids":{"openalex":"https://openalex.org/W7204249729","doi":"https://doi.org/10.1088/2399-6528/ae9f14"},"language":"en","primary_location":{"id":"doi:10.1088/2399-6528/ae9f14","doi":"https://doi.org/10.1088/2399-6528/ae9f14","is_oa":true,"landing_page_url":"https://doi.org/10.1088/2399-6528/ae9f14","pdf_url":"https://iopscience.iop.org/article/10.1088/2399-6528/ae9f14/pdf","source":{"id":"https://openalex.org/S4210180840","display_name":"Journal of Physics Communications","issn_l":"2399-6528","issn":["2399-6528"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","jufo-1","norway-1","oarl","poland-70","russia-white-list-2"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics Communications","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://iopscience.iop.org/article/10.1088/2399-6528/ae9f14/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035780781","display_name":"Ali Olgun","orcid":"https://orcid.org/0000-0001-5365-4110","observed_orcids":["https://orcid.org/0000-0001-5365-4110"]},"institutions":[{"id":"https://openalex.org/I45642913","display_name":"K\u0131r\u0131kkale University","ror":"https://ror.org/01zhwwf82","country_code":"TR","type":"education","lineage":["https://openalex.org/I45642913"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Ali Olgun","raw_affiliation_strings":["K\u0131r\u0131kkale University"],"raw_orcid":"https://orcid.org/0000-0001-5365-4110","affiliations":[{"raw_affiliation_string":"K\u0131r\u0131kkale University","institution_ids":["https://openalex.org/I45642913"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040278585","display_name":"O\u011fuz Ya\u011fc\u0131","orcid":"https://orcid.org/0000-0001-9902-8094","observed_orcids":["https://orcid.org/0000-0001-9902-8094"]},"institutions":[{"id":"https://openalex.org/I45642913","display_name":"K\u0131r\u0131kkale University","ror":"https://ror.org/01zhwwf82","country_code":"TR","type":"education","lineage":["https://openalex.org/I45642913"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"O\u011fuz Ya\u011fc\u0131","raw_affiliation_strings":["K\u0131r\u0131kkale University"],"raw_orcid":"https://orcid.org/0000-0001-9902-8094","affiliations":[{"raw_affiliation_string":"K\u0131r\u0131kkale University","institution_ids":["https://openalex.org/I45642913"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5035780781"],"corresponding_institution_ids":["https://openalex.org/I45642913"],"apc_list":{"value":1880,"currency":"USD","value_usd":1880},"apc_paid":{"value":1880,"currency":"USD","value_usd":1880},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"9","first_page":"095004","last_page":"095004"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.8314999938011169,"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":0.8314999938011169,"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.12319999933242798,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.009399999864399433,"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/local-fractional-calculus","display_name":"local fractional calculus","score":0.6399999856948853},{"id":"https://openalex.org/keywords/modulus-of-continuity","display_name":"modulus of continuity","score":0.7300000190734863},{"id":"https://openalex.org/keywords/lipschitz-classes","display_name":"Lipschitz classes","score":0.9229999780654907}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7764000296592712},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.5486000180244446},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.4864000082015991},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4860000014305115},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.48019999265670776},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.4104999899864197},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4041999876499176},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.3952000141143799},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.39489999413490295},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.3880000114440918},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.3716999888420105},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.3711000084877014},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36399999260902405},{"id":"https://openalex.org/C3098717","wikidata":"https://www.wikidata.org/wiki/Q1144872","display_name":"Modulus of continuity","level":3,"score":0.36010000109672546},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.3158000111579895},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.31369999051094055},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.30469998717308044},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.30329999327659607},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.27869999408721924},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.27799999713897705},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.273499995470047},{"id":"https://openalex.org/C24872484","wikidata":"https://www.wikidata.org/wiki/Q126818","display_name":"Dimensionless quantity","level":2,"score":0.27320000529289246},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.26750001311302185},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.26409998536109924},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.26030001044273376}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1088/2399-6528/ae9f14","doi":"https://doi.org/10.1088/2399-6528/ae9f14","is_oa":true,"landing_page_url":"https://doi.org/10.1088/2399-6528/ae9f14","pdf_url":"https://iopscience.iop.org/article/10.1088/2399-6528/ae9f14/pdf","source":{"id":"https://openalex.org/S4210180840","display_name":"Journal of Physics Communications","issn_l":"2399-6528","issn":["2399-6528"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","jufo-1","norway-1","oarl","poland-70","russia-white-list-2"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics Communications","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:3c04a5655c0547e89b29c55903431730","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/3c04a5655c0547e89b29c55903431730","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Physics Communications, Vol 10, Iss 9, p 095004 (2026)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1088/2399-6528/ae9f14","doi":"https://doi.org/10.1088/2399-6528/ae9f14","is_oa":true,"landing_page_url":"https://doi.org/10.1088/2399-6528/ae9f14","pdf_url":"https://iopscience.iop.org/article/10.1088/2399-6528/ae9f14/pdf","source":{"id":"https://openalex.org/S4210180840","display_name":"Journal of Physics Communications","issn_l":"2399-6528","issn":["2399-6528"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","jufo-1","norway-1","oarl","poland-70","russia-white-list-2"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics Communications","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/W7204249729.pdf","grobid_xml":"https://content.openalex.org/works/W7204249729.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1972847999","https://openalex.org/W2080928512","https://openalex.org/W2134837756","https://openalex.org/W2265948748","https://openalex.org/W2318876810","https://openalex.org/W2766240175","https://openalex.org/W2804134625","https://openalex.org/W2963520255","https://openalex.org/W3020127197","https://openalex.org/W3211000470","https://openalex.org/W4285589629","https://openalex.org/W4313829181","https://openalex.org/W4378231892","https://openalex.org/W4389092621","https://openalex.org/W4389427161","https://openalex.org/W4399073912","https://openalex.org/W4400036091","https://openalex.org/W4401536586","https://openalex.org/W4404837213","https://openalex.org/W4404993909","https://openalex.org/W4405781614","https://openalex.org/W4406024569","https://openalex.org/W4409498274","https://openalex.org/W4409709049","https://openalex.org/W4409839156","https://openalex.org/W4414294206","https://openalex.org/W4414593136","https://openalex.org/W4414628405","https://openalex.org/W4415192527","https://openalex.org/W7117109785","https://openalex.org/W7119505576","https://openalex.org/W7123759200","https://openalex.org/W7128598265","https://openalex.org/W7139072943","https://openalex.org/W7154495233","https://openalex.org/W7155086201"],"related_works":["https://openalex.org/W7154479814","https://openalex.org/W2468142134","https://openalex.org/W4225737500","https://openalex.org/W4210608611","https://openalex.org/W7213247824","https://openalex.org/W4386136252","https://openalex.org/W2652027923","https://openalex.org/W7127429539","https://openalex.org/W51212802","https://openalex.org/W2503769379"],"abstract_inverted_index":{"Abstract":[0],"We":[1,176],"propose":[2],"a":[3,26,51,58,71,92,194,264,284],"positive":[4,269],"approximation":[5,105,270],"scheme":[6,65],"for":[7,30,222],"source":[8,16,104,225,276],"terms":[9],"arising":[10],"in":[11,185],"local":[12,27,53,73,94,111,195,272],"truncated":[13,78,188,273],"M":[14,22,79,189,274],"-fractional":[15,80,190,275],"problems.":[17],"Here,":[18],"the":[19,47,77,98,140,145,152,161,168,179,187,208,219,223,227,251,280],"term":[20],"\u2018truncated":[21],"-fractional\u2019":[23],"refers":[24],"to":[25,35,181,204,207,238],"weighted":[28,157,196],"derivative:":[29],"differentiable":[31],"functions,":[32],"it":[33],"reduces":[34],"K":[36],"x":[37,44],"1":[38],"\u2212":[39],"\u03bd":[40],"d":[41,43],"/":[42],".":[45,244,260],"Thus,":[46],"benchmark":[48,217,246,282],"considered":[49],"is":[50,123],"scalar":[52,281],"initial-value":[54,113],"problem":[55,184],"rather":[56],"than":[57],"nonlocal":[59,288],"evolution":[60],"equation":[61],"with":[62,70],"memory.":[63],"The":[64,101,198,261],"combines":[66],"Baskakov\u2013Schurer\u2013Stancu":[67],"basis":[68],"functions":[69],"normalized":[72],"average":[74],"induced":[75,199],"by":[76],"integral.":[81],"This":[82],"construction":[83],"preserves":[84],"positivity,":[85],"yields":[86],"explicitly":[87],"computable":[88],"moments,":[89],"and":[90,147,151,163,173,247,258,271],"incorporates":[91],"fractional-type":[93,112],"averaging":[95],"parameter":[96],"into":[97,110],"operator":[99],"nodes.":[100],"resulting":[102,141],"explicit":[103],"can":[106],"be":[107],"inserted":[108],"directly":[109],"problems":[114],"without":[115,278],"solving":[116],"an":[117,182],"additional":[118],"nonlinear":[119],"algebraic":[120,149],"system.":[121],"It":[122],"particularly":[124],"useful":[125],"when":[126],"source,":[127],"density,":[128],"heat-input,":[129],"or":[130,287],"wave-amplitude":[131],"profiles":[132],"must":[133],"remain":[134],"nonnegative":[135],"during":[136],"numerical":[137],"approximation.":[138],"For":[139],"operators,":[142],"we":[143],"compute":[144],"first":[146],"second":[148,153],"moments":[150],"central":[154],"moment,":[155],"establish":[156],"Korovkin":[158],"convergence":[159],"on":[160,211],"half-line,":[162],"derive":[164],"direct":[165],"estimates":[166],"using":[167],"ordinary":[169],"modulus":[170],"of":[171,253],"continuity":[172],"Lipschitz":[174],"classes.":[175],"also":[177],"apply":[178],"operators":[180],"inhomogeneous":[183],"which":[186],"derivative":[191],"acts":[192],"as":[193,283],"derivative.":[197],"approximate":[200],"solutions":[201],"are":[202],"shown":[203],"converge":[205],"uniformly":[206],"exact":[209],"solution":[210],"compact":[212],"intervals.":[213],"A":[214],"dimensionless":[215],"thermal-source":[216],"supports":[218],"theoretical":[220],"findings:":[221],"polynomial":[224],"considered,":[226],"grid-based":[228],"maximum":[229],"error":[230],"decreases":[231],"from":[232],"0.428002":[233],"at":[234,240],"n":[235,241],"=":[236,242],"5":[237],"0.042014":[239],"80":[243],"Additional":[245],"sensitivity":[248],"studies":[249],"clarify":[250],"roles":[252],"\u03b1":[254],",":[255,257],"\u03c1":[256],"\u03d1":[259],"results":[262],"provide":[263],"transparent":[265],"bridge":[266],"between":[267],"Baskakov-type":[268],"models,":[277],"portraying":[279],"full":[285],"heat-conduction":[286],"memory":[289],"model.":[290]},"counts_by_year":[],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2026-08-27T00:00:00"}
