{"id":"https://openalex.org/W4294969159","doi":"https://doi.org/10.1080/00207160.2022.2122052","title":"Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations","display_name":"Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations","publication_year":2022,"publication_date":"2022-09-06","ids":{"openalex":"https://openalex.org/W4294969159","doi":"https://doi.org/10.1080/00207160.2022.2122052"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2022.2122052","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2022.2122052","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/A5074418418","display_name":"Mohammad Heydari","orcid":"https://orcid.org/0000-0001-6764-4394"},"institutions":[{"id":"https://openalex.org/I204490172","display_name":"Shiraz University of Technology","ror":"https://ror.org/04bxa3v83","country_code":"IR","type":"education","lineage":["https://openalex.org/I204490172"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"M. H. Heydari","raw_affiliation_strings":["Department of Mathematics, Shiraz University of Technology, Shiraz, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shiraz University of Technology, Shiraz, Iran","institution_ids":["https://openalex.org/I204490172"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027384845","display_name":"Mohsen Razzaghi","orcid":"https://orcid.org/0000-0002-2189-0802"},"institutions":[{"id":"https://openalex.org/I99041443","display_name":"Mississippi State University","ror":"https://ror.org/0432jq872","country_code":"US","type":"education","lineage":["https://openalex.org/I4210141039","https://openalex.org/I99041443"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Razzaghi","raw_affiliation_strings":["Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS, USA","institution_ids":["https://openalex.org/I99041443"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022405104","display_name":"Carlo Cattani","orcid":"https://orcid.org/0000-0002-7504-0424"},"institutions":[{"id":"https://openalex.org/I138938424","display_name":"Universit\u00e0 degli Studi della Tuscia","ror":"https://ror.org/03svwq685","country_code":"IT","type":"education","lineage":["https://openalex.org/I138938424"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"C. Cattani","raw_affiliation_strings":["Engineering School (DEIM), University of Tuscia, Viterbo, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Engineering School (DEIM), University of Tuscia, Viterbo, Italy","institution_ids":["https://openalex.org/I138938424"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074418418"],"corresponding_institution_ids":["https://openalex.org/I204490172"],"apc_list":null,"apc_paid":null,"fwci":1.0826,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.73639661,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"100","issue":"3","first_page":"479","last_page":"496"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"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":1.0,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11081","display_name":"Advanced Control Systems Design","score":0.989799976348877,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8364039659500122},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.665532648563385},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.633661150932312},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.5580786466598511},{"id":"https://openalex.org/keywords/chebyshev-equation","display_name":"Chebyshev equation","score":0.5290735363960266},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.5254993438720703},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5047091245651245},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.49142706394195557},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.4829225242137909},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4628647267818451},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.4594515264034271},{"id":"https://openalex.org/keywords/chebyshev-nodes","display_name":"Chebyshev nodes","score":0.45927363634109497},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3813874125480652},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.09110710024833679},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08783972263336182}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8364039659500122},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.665532648563385},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.633661150932312},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.5580786466598511},{"id":"https://openalex.org/C142484921","wikidata":"https://www.wikidata.org/wiki/Q3890369","display_name":"Chebyshev equation","level":4,"score":0.5290735363960266},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.5254993438720703},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5047091245651245},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.49142706394195557},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.4829225242137909},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4628647267818451},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.4594515264034271},{"id":"https://openalex.org/C171326582","wikidata":"https://www.wikidata.org/wiki/Q1052508","display_name":"Chebyshev nodes","level":3,"score":0.45927363634109497},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3813874125480652},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.09110710024833679},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08783972263336182},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2022.2122052","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2022.2122052","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":[{"score":0.7300000190734863,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W2029402425","https://openalex.org/W2057414857","https://openalex.org/W2129426017","https://openalex.org/W2763177943","https://openalex.org/W2787959293","https://openalex.org/W2802603505","https://openalex.org/W2905041918","https://openalex.org/W2943170680","https://openalex.org/W2946350816","https://openalex.org/W3007046170","https://openalex.org/W3014569360","https://openalex.org/W3016843226","https://openalex.org/W3035962528","https://openalex.org/W3038580841","https://openalex.org/W3095008505"],"related_works":["https://openalex.org/W2090151895","https://openalex.org/W2388339664","https://openalex.org/W2593423823","https://openalex.org/W4309531514","https://openalex.org/W1979691997","https://openalex.org/W4293824238","https://openalex.org/W2265750413","https://openalex.org/W1826504022","https://openalex.org/W3203724653","https://openalex.org/W3175290583"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"a":[3,23,87,113],"new":[4,79,88],"set":[5],"of":[6,26,43,52,90,116,122],"the":[7,11,29,37,40,61,105,123],"basis":[8,55,80],"functions":[9,56],"called":[10],"fractional":[12,47,54,92,99],"Chebyshev":[13,31],"cardinal":[14,32],"wavelets":[15,21],"and":[16,39,49,73,102,130],"details":[17],"their":[18,98,103],"properties.":[19],"These":[20],"have":[22],"greater":[24],"degree":[25],"freedom":[27],"than":[28],"classical":[30],"wavelets.":[33,45],"Moreover,":[34],"they":[35],"retain":[36],"cardinality":[38],"spectral":[41],"accuracy":[42],"these":[44,53,78],"The":[46,119],"derivative":[48],"integral":[50,100],"matrices":[51],"are":[57],"obtained":[58],"exactly":[59],"in":[60],"explicit":[62],"forms.":[63],"In":[64],"this":[65],"study,":[66],"we":[67,83],"aim":[68],"to":[69],"devise":[70],"an":[71],"efficient":[72],"powerful":[74],"approximation":[75],"method":[76],"using":[77],"functions.":[81],"Then,":[82],"employ":[84],"them":[85],"for":[86,136],"category":[89],"nonlinear":[91,114],"quadratic":[93],"integro-differential":[94],"equations.":[95,118],"By":[96],"employing":[97],"matrix":[101],"cardinality,":[104],"problem":[106],"under":[107],"study":[108],"is":[109,126,134],"transformed":[110],"into":[111],"solving":[112],"system":[115],"algebraic":[117],"error":[120],"analysis":[121],"presented":[124],"technique":[125],"first":[127],"investigated":[128],"theoretically":[129],"then":[131],"computational":[132],"efficiency":[133],"examined":[135],"two":[137],"numerical":[138],"examples.":[139]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
