{"id":"https://openalex.org/W4410291215","doi":"https://doi.org/10.1007/s42979-025-03997-0","title":"M\u00fcntz\u2013Legendre Wavelet Collocation Method for the Solution of Optimal Control Problems with Fractional-Loaded Differential Equations","display_name":"M\u00fcntz\u2013Legendre Wavelet Collocation Method for the Solution of Optimal Control Problems with Fractional-Loaded Differential Equations","publication_year":2025,"publication_date":"2025-05-12","ids":{"openalex":"https://openalex.org/W4410291215","doi":"https://doi.org/10.1007/s42979-025-03997-0"},"language":"en","primary_location":{"id":"doi:10.1007/s42979-025-03997-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s42979-025-03997-0","pdf_url":null,"source":{"id":"https://openalex.org/S4210174798","display_name":"SN Computer Science","issn_l":"2661-8907","issn":["2661-8907","2662-995X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SN Computer Science","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/A5100913451","display_name":"Ritu Kumari","orcid":null},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Ritu Kumari","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, 110016, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, 110016, India","institution_ids":["https://openalex.org/I68891433"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063069231","display_name":"Mani Mehra","orcid":"https://orcid.org/0000-0002-4261-7784"},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mani Mehra","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, 110016, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, 110016, India","institution_ids":["https://openalex.org/I68891433"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100913451"],"corresponding_institution_ids":["https://openalex.org/I68891433"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12088425,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9965000152587891,"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":0.9965000152587891,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9883999824523926,"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/T13261","display_name":"Elasticity and Wave Propagation","score":0.9866999983787537,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/legendre-wavelet","display_name":"Legendre wavelet","score":0.8508586883544922},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.8249828815460205},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.6885757446289062},{"id":"https://openalex.org/keywords/associated-legendre-polynomials","display_name":"Associated Legendre polynomials","score":0.647244930267334},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6211116313934326},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.5840784311294556},{"id":"https://openalex.org/keywords/orthogonal-collocation","display_name":"Orthogonal collocation","score":0.5662612318992615},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.5640224814414978},{"id":"https://openalex.org/keywords/legendres-equation","display_name":"Legendre's equation","score":0.559407114982605},{"id":"https://openalex.org/keywords/legendre-function","display_name":"Legendre function","score":0.5045970678329468},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5045541524887085},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4358447790145874},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4303137958049774},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21453791856765747},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.17269086837768555},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.14746320247650146},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.10729587078094482},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.10641676187515259}],"concepts":[{"id":"https://openalex.org/C123769847","wikidata":"https://www.wikidata.org/wiki/Q6517888","display_name":"Legendre wavelet","level":5,"score":0.8508586883544922},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.8249828815460205},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.6885757446289062},{"id":"https://openalex.org/C36956377","wikidata":"https://www.wikidata.org/wiki/Q228376","display_name":"Associated Legendre polynomials","level":5,"score":0.647244930267334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6211116313934326},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.5840784311294556},{"id":"https://openalex.org/C114609681","wikidata":"https://www.wikidata.org/wiki/Q24839227","display_name":"Orthogonal collocation","level":5,"score":0.5662612318992615},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.5640224814414978},{"id":"https://openalex.org/C86287605","wikidata":"https://www.wikidata.org/wiki/Q4454970","display_name":"Legendre's equation","level":3,"score":0.559407114982605},{"id":"https://openalex.org/C153262748","wikidata":"https://www.wikidata.org/wiki/Q17098449","display_name":"Legendre function","level":3,"score":0.5045970678329468},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5045541524887085},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4358447790145874},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4303137958049774},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21453791856765747},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.17269086837768555},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.14746320247650146},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.10729587078094482},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.10641676187515259},{"id":"https://openalex.org/C78540521","wikidata":"https://www.wikidata.org/wiki/Q1498246","display_name":"Gegenbauer polynomials","level":4,"score":0.0},{"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/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s42979-025-03997-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s42979-025-03997-0","pdf_url":null,"source":{"id":"https://openalex.org/S4210174798","display_name":"SN Computer Science","issn_l":"2661-8907","issn":["2661-8907","2662-995X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SN Computer Science","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":26,"referenced_works":["https://openalex.org/W902939226","https://openalex.org/W1992888898","https://openalex.org/W2020442214","https://openalex.org/W2034798667","https://openalex.org/W2070850668","https://openalex.org/W2083828525","https://openalex.org/W2206847697","https://openalex.org/W2605545968","https://openalex.org/W2900678304","https://openalex.org/W2905284576","https://openalex.org/W2951913356","https://openalex.org/W3046925501","https://openalex.org/W3048288571","https://openalex.org/W3089961577","https://openalex.org/W3108070439","https://openalex.org/W3135237870","https://openalex.org/W3181802941","https://openalex.org/W3195287791","https://openalex.org/W4206009172","https://openalex.org/W4231976715","https://openalex.org/W4320491901","https://openalex.org/W4323925491","https://openalex.org/W4367183257","https://openalex.org/W4400460596","https://openalex.org/W4401166094","https://openalex.org/W4404536860"],"related_works":["https://openalex.org/W1607269076","https://openalex.org/W2953361964","https://openalex.org/W3200178185","https://openalex.org/W3130427480","https://openalex.org/W1988418937","https://openalex.org/W4296546724","https://openalex.org/W2007120513","https://openalex.org/W2288349649","https://openalex.org/W2034418652","https://openalex.org/W2183150594"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}