{"id":"https://openalex.org/W4404824944","doi":"https://doi.org/10.1080/00207160.2024.2435014","title":"Dimension analysis for Caputo-fractional derivative of spline fractal interpolation function","display_name":"Dimension analysis for Caputo-fractional derivative of spline fractal interpolation function","publication_year":2024,"publication_date":"2024-11-28","ids":{"openalex":"https://openalex.org/W4404824944","doi":"https://doi.org/10.1080/00207160.2024.2435014"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2024.2435014","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2024.2435014","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5071579484","display_name":"T. M. C. Priyanka","orcid":"https://orcid.org/0000-0002-7473-9524"},"institutions":[{"id":"https://openalex.org/I876193797","display_name":"Vellore Institute of Technology University","ror":"https://ror.org/00qzypv28","country_code":"IN","type":"education","lineage":["https://openalex.org/I876193797"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"T.M.C. Priyanka","raw_affiliation_strings":["Vellore Institute of Technology","Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vellore Institute of Technology","institution_ids":["https://openalex.org/I876193797"]},{"raw_affiliation_string":"Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India","institution_ids":["https://openalex.org/I876193797"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044388139","display_name":"A. Gowrisankar","orcid":null},"institutions":[{"id":"https://openalex.org/I876193797","display_name":"Vellore Institute of Technology University","ror":"https://ror.org/00qzypv28","country_code":"IN","type":"education","lineage":["https://openalex.org/I876193797"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"A. Gowrisankar","raw_affiliation_strings":["Vellore Institute of Technology","Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vellore Institute of Technology","institution_ids":["https://openalex.org/I876193797"]},{"raw_affiliation_string":"Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India","institution_ids":["https://openalex.org/I876193797"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015077764","display_name":"Yongshun Liang","orcid":"https://orcid.org/0000-0002-9394-6502"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongshun Liang","raw_affiliation_strings":["Nanjing University of Science and Technology","School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanjing University of Science and Technology","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, People's Republic of China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017808266","display_name":"Jinde Cao","orcid":"https://orcid.org/0000-0003-3133-7119"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinde Cao","raw_affiliation_strings":["Southeast University","School of Mathematics, Southeast University, Nanjing, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Southeast University","institution_ids":[]},{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, People's Republic of China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5044388139"],"corresponding_institution_ids":["https://openalex.org/I876193797"],"apc_list":null,"apc_paid":null,"fwci":1.6045,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.83234448,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"102","issue":"4","first_page":"521","last_page":"537"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9686999917030334,"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/T10244","display_name":"Chaos control and synchronization","score":0.963699996471405,"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/mathematics","display_name":"Mathematics","score":0.8734531402587891},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.670623242855072},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.6369377374649048},{"id":"https://openalex.org/keywords/fractal-dimension","display_name":"Fractal dimension","score":0.6025422215461731},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5474891066551208},{"id":"https://openalex.org/keywords/thin-plate-spline","display_name":"Thin plate spline","score":0.5280997157096863},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.5203534960746765},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.517939031124115},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5171677470207214},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5013494491577148},{"id":"https://openalex.org/keywords/fractal-derivative","display_name":"Fractal derivative","score":0.47345229983329773},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.4609108567237854},{"id":"https://openalex.org/keywords/smoothing-spline","display_name":"Smoothing spline","score":0.44574394822120667},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.43575167655944824},{"id":"https://openalex.org/keywords/fractal-analysis","display_name":"Fractal analysis","score":0.41252392530441284},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24407628178596497},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.14092054963111877},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07917207479476929}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8734531402587891},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.670623242855072},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.6369377374649048},{"id":"https://openalex.org/C26546657","wikidata":"https://www.wikidata.org/wiki/Q1412452","display_name":"Fractal dimension","level":3,"score":0.6025422215461731},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5474891066551208},{"id":"https://openalex.org/C93132110","wikidata":"https://www.wikidata.org/wiki/Q7784288","display_name":"Thin plate spline","level":4,"score":0.5280997157096863},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.5203534960746765},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.517939031124115},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5171677470207214},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5013494491577148},{"id":"https://openalex.org/C83764196","wikidata":"https://www.wikidata.org/wiki/Q17014577","display_name":"Fractal derivative","level":5,"score":0.47345229983329773},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.4609108567237854},{"id":"https://openalex.org/C107457265","wikidata":"https://www.wikidata.org/wiki/Q7546460","display_name":"Smoothing spline","level":4,"score":0.44574394822120667},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.43575167655944824},{"id":"https://openalex.org/C162494671","wikidata":"https://www.wikidata.org/wiki/Q2845227","display_name":"Fractal analysis","level":4,"score":0.41252392530441284},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24407628178596497},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.14092054963111877},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07917207479476929},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","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},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2024.2435014","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2024.2435014","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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":39,"referenced_works":["https://openalex.org/W651742516","https://openalex.org/W1525335556","https://openalex.org/W1580103439","https://openalex.org/W1972793885","https://openalex.org/W1988238587","https://openalex.org/W2006942013","https://openalex.org/W2010750195","https://openalex.org/W2028234518","https://openalex.org/W2034864625","https://openalex.org/W2039138828","https://openalex.org/W2052038410","https://openalex.org/W2059811821","https://openalex.org/W2061306756","https://openalex.org/W2066556713","https://openalex.org/W2089053227","https://openalex.org/W2127041510","https://openalex.org/W2136865436","https://openalex.org/W2161415758","https://openalex.org/W2467019816","https://openalex.org/W2597767759","https://openalex.org/W2891363296","https://openalex.org/W2913343824","https://openalex.org/W2916983743","https://openalex.org/W3110658132","https://openalex.org/W3183883038","https://openalex.org/W3214502011","https://openalex.org/W4205486434","https://openalex.org/W4232094027","https://openalex.org/W4238652859","https://openalex.org/W4240465921","https://openalex.org/W4252787830","https://openalex.org/W4283371979","https://openalex.org/W4292693851","https://openalex.org/W4317989746","https://openalex.org/W4321190547","https://openalex.org/W4363679581","https://openalex.org/W4376112258","https://openalex.org/W4381512878","https://openalex.org/W4394649828"],"related_works":["https://openalex.org/W2037532746","https://openalex.org/W2380799314","https://openalex.org/W2117487173","https://openalex.org/W2360413387","https://openalex.org/W2102842245","https://openalex.org/W1975728046","https://openalex.org/W1999269698","https://openalex.org/W4361795749","https://openalex.org/W2154654948","https://openalex.org/W1980922465"],"abstract_inverted_index":{"The":[0],"fractal":[1,20,37,89,108,132],"dimension":[2,38,128],"is":[3,135],"an":[4],"indispensable":[5],"tool":[6],"bridging":[7],"the":[8,15,19,30,36,47,52,73,77,80,102,116,119,122,126],"two":[9],"distinct":[10],"fields":[11],"of":[12,32,39,54,57,76,83,87,115,129],"mathematics":[13],"namely,":[14],"fractional":[16,33],"calculus":[17,34],"and":[18,35,92],"geometry.":[21],"Many":[22],"works":[23],"have":[24],"elucidated":[25],"a":[26,40,58,64,84,107],"linear":[27],"connection":[28],"between":[29],"order":[31,53],"given":[41],"continuous":[42],"function.":[43],"In":[44],"this":[45],"respect,":[46],"present":[48],"work":[49],"exclusively":[50],"connects":[51],"Caputo-fractional":[55,81],"derivative":[56,82],"continuously":[59],"differentiable":[60],"function,":[61],"defined":[62],"on":[63,96],"real":[65],"closed":[66],"interval,":[67],"with":[68],"its":[69,97],"box":[70,127],"dimension.":[71],"Meanwhile,":[72],"second":[74],"part":[75],"paper":[78],"discusses":[79],"special":[85],"kind":[86],"spline":[88],"interpolation":[90,133],"function":[91,104,109,134],"impose":[93],"certain":[94],"conditions":[95],"scaling":[98],"factors":[99],"to":[100,105],"prove":[101],"resultant":[103],"be":[106],"yet":[110],"again.":[111],"Finally,":[112],"making":[113],"use":[114],"results":[117],"in":[118],"first":[120],"part,":[121],"upper":[123],"bound":[124],"for":[125],"newly":[130],"obtained":[131],"estimated.":[136]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}