{"id":"https://openalex.org/W4400506805","doi":"https://doi.org/10.1007/s11075-024-01871-3","title":"Fractional Legendre wavelet approach resolving multi-scale optimal control problems involving Caputo-Fabrizio derivative","display_name":"Fractional Legendre wavelet approach resolving multi-scale optimal control problems involving Caputo-Fabrizio derivative","publication_year":2024,"publication_date":"2024-07-10","ids":{"openalex":"https://openalex.org/W4400506805","doi":"https://doi.org/10.1007/s11075-024-01871-3"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-024-01871-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-024-01871-3","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","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/A5009579853","display_name":"Akanksha Singh","orcid":"https://orcid.org/0000-0003-2189-4974"},"institutions":[{"id":"https://openalex.org/I16292982","display_name":"National Institute of Technology Rourkela","ror":"https://ror.org/011gmn932","country_code":"IN","type":"education","lineage":["https://openalex.org/I16292982"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Akanksha Singh","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology Rourkela, Rourkela, 769008, Odisha, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology Rourkela, Rourkela, 769008, Odisha, India","institution_ids":["https://openalex.org/I16292982"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030790295","display_name":"Ankur Kanaujiya","orcid":"https://orcid.org/0000-0001-9950-314X"},"institutions":[{"id":"https://openalex.org/I16292982","display_name":"National Institute of Technology Rourkela","ror":"https://ror.org/011gmn932","country_code":"IN","type":"education","lineage":["https://openalex.org/I16292982"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ankur Kanaujiya","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology Rourkela, Rourkela, 769008, Odisha, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology Rourkela, Rourkela, 769008, Odisha, India","institution_ids":["https://openalex.org/I16292982"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025767351","display_name":"Jugal Mohapatra","orcid":"https://orcid.org/0000-0001-5118-3933"},"institutions":[{"id":"https://openalex.org/I16292982","display_name":"National Institute of Technology Rourkela","ror":"https://ror.org/011gmn932","country_code":"IN","type":"education","lineage":["https://openalex.org/I16292982"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Jugal Mohapatra","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology Rourkela, Rourkela, 769008, Odisha, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology Rourkela, Rourkela, 769008, Odisha, India","institution_ids":["https://openalex.org/I16292982"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025767351"],"corresponding_institution_ids":["https://openalex.org/I16292982"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.7833,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.90434324,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"99","issue":"1","first_page":"101","last_page":"132"},"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":0.9958000183105469,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9954000115394592,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8025888204574585},{"id":"https://openalex.org/keywords/legendre-wavelet","display_name":"Legendre wavelet","score":0.7913350462913513},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6976024508476257},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.6785683035850525},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.5822896957397461},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5737465023994446},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.568752646446228},{"id":"https://openalex.org/keywords/legendres-equation","display_name":"Legendre's equation","score":0.5443935990333557},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5350365042686462},{"id":"https://openalex.org/keywords/legendre-function","display_name":"Legendre function","score":0.45425158739089966},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.45383456349372864},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39837995171546936},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3721022605895996},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.16109395027160645},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.13931939005851746},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13402032852172852},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12354284524917603},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06393638253211975}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8025888204574585},{"id":"https://openalex.org/C123769847","wikidata":"https://www.wikidata.org/wiki/Q6517888","display_name":"Legendre wavelet","level":5,"score":0.7913350462913513},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6976024508476257},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.6785683035850525},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.5822896957397461},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5737465023994446},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.568752646446228},{"id":"https://openalex.org/C86287605","wikidata":"https://www.wikidata.org/wiki/Q4454970","display_name":"Legendre's equation","level":3,"score":0.5443935990333557},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5350365042686462},{"id":"https://openalex.org/C153262748","wikidata":"https://www.wikidata.org/wiki/Q17098449","display_name":"Legendre function","level":3,"score":0.45425158739089966},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.45383456349372864},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39837995171546936},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3721022605895996},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.16109395027160645},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.13931939005851746},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13402032852172852},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12354284524917603},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06393638253211975},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-024-01871-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-024-01871-3","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3959973920","display_name":null,"funder_award_id":"NTA Ref. No. 201610127052","funder_id":"https://openalex.org/F4320320767","funder_display_name":"University Grants Commission"}],"funders":[{"id":"https://openalex.org/F4320320767","display_name":"University Grants Commission","ror":"https://ror.org/04p800546"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W2015882123","https://openalex.org/W2062163287","https://openalex.org/W2116987651","https://openalex.org/W2586595346","https://openalex.org/W2946851523","https://openalex.org/W3011362181","https://openalex.org/W3015500616","https://openalex.org/W3021964239","https://openalex.org/W3042125428","https://openalex.org/W3043025614","https://openalex.org/W3047247133","https://openalex.org/W3090529549","https://openalex.org/W3101766416","https://openalex.org/W3209855153","https://openalex.org/W3212487154","https://openalex.org/W4210627464","https://openalex.org/W4220786047","https://openalex.org/W4285678537","https://openalex.org/W4286001073","https://openalex.org/W4306746472","https://openalex.org/W4308799813","https://openalex.org/W4309915601","https://openalex.org/W4313568182","https://openalex.org/W4315433792","https://openalex.org/W4319598615","https://openalex.org/W4319791808","https://openalex.org/W4363674372","https://openalex.org/W4367183257"],"related_works":["https://openalex.org/W1607269076","https://openalex.org/W2953361964","https://openalex.org/W3200178185","https://openalex.org/W2022538265","https://openalex.org/W2288349649","https://openalex.org/W2379187670","https://openalex.org/W1988418937","https://openalex.org/W2007120513","https://openalex.org/W2025296287","https://openalex.org/W3130427480"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}