{"id":"https://openalex.org/W4396809461","doi":"https://doi.org/10.1142/s2661335224500138","title":"Local fractional Laplace transform iterative method for solving Korteweg\u2013de Vries equation with the local fractional derivative","display_name":"Local fractional Laplace transform iterative method for solving Korteweg\u2013de Vries equation with the local fractional derivative","publication_year":2024,"publication_date":"2024-05-10","ids":{"openalex":"https://openalex.org/W4396809461","doi":"https://doi.org/10.1142/s2661335224500138"},"language":"en","primary_location":{"id":"doi:10.1142/s2661335224500138","doi":"https://doi.org/10.1142/s2661335224500138","is_oa":true,"landing_page_url":"https://doi.org/10.1142/s2661335224500138","pdf_url":null,"source":{"id":"https://openalex.org/S4210193183","display_name":"International Journal of Mathematics for Industry","issn_l":"2661-3344","issn":["2661-3344","2661-3352"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-d","jufo-1","norway-1","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics for Industry","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1142/s2661335224500138","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056487217","display_name":"Gbenga O. Ojo","orcid":"https://orcid.org/0000-0002-5167-8191","observed_orcids":["https://orcid.org/0000-0002-5167-8191"]},"institutions":[{"id":"https://openalex.org/I4396570487","display_name":"Cyprus West University","ror":"https://ror.org/02p65sy36","country_code":"CY","type":"education","lineage":["https://openalex.org/I4396570487"]}],"countries":["CY"],"is_corresponding":false,"raw_author_name":"Gbenga O. Ojo","raw_affiliation_strings":["Information System Engineering, Faculty of Engineering, Cyprus West University, Ismet Inonu Blv 29, Via Mersin 10, 99450, Gazimagusa, Turkiye"],"raw_orcid":"https://orcid.org/0000-0002-5167-8191","affiliations":[{"raw_affiliation_string":"Information System Engineering, Faculty of Engineering, Cyprus West University, Ismet Inonu Blv 29, Via Mersin 10, 99450, Gazimagusa, Turkiye","institution_ids":["https://openalex.org/I4396570487"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065333562","display_name":"John O. Olaifa","orcid":"https://orcid.org/0000-0003-1732-3626","observed_orcids":["https://orcid.org/0000-0003-1732-3626"]},"institutions":[{"id":"https://openalex.org/I36515993","display_name":"Eastern Mediterranean University","ror":"https://ror.org/00excyz84","country_code":"CY","type":"education","lineage":["https://openalex.org/I36515993"]}],"countries":["CY"],"is_corresponding":false,"raw_author_name":"John O. Olaifa","raw_affiliation_strings":["Department of Computer Engineering, Faculty of Engineering, Eastern Mediterranean University, Ismet Inonu Blv, Via Mersin 10, 99628, Gazimagusa, Turkiye"],"raw_orcid":"https://orcid.org/0000-0003-1732-3626","affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Faculty of Engineering, Eastern Mediterranean University, Ismet Inonu Blv, Via Mersin 10, 99628, Gazimagusa, Turkiye","institution_ids":["https://openalex.org/I36515993"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"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":"16","issue":"Supp01","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":0.9965999722480774,"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":0.9965999722480774,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.0008999999845400453,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.000699999975040555,"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/iterative-methods","display_name":"iterative methods","score":0.8059999942779541},{"id":"https://openalex.org/keywords/kdv-equation","display_name":"Korteweg-de Vries equation","score":0.9639999866485596},{"id":"https://openalex.org/keywords/local-fractional-derivative","display_name":"local fractional derivative","score":0.996999979019165},{"id":"https://openalex.org/keywords/local-fractional-calculus","display_name":"local fractional calculus","score":0.6510000228881836},{"id":"https://openalex.org/keywords/series-solution","display_name":"series solution","score":0.8679999709129333},{"id":"https://openalex.org/keywords/existence-and-uniqueness-of-solutions","display_name":"existence and uniqueness of solutions","score":0.878000020980835},{"id":"https://openalex.org/keywords/nonlinear-partial-differential-equations","display_name":"nonlinear partial differential equations","score":0.8420000076293945}],"concepts":[{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.7048777937889099},{"id":"https://openalex.org/C146630112","wikidata":"https://www.wikidata.org/wiki/Q601796","display_name":"Korteweg\u2013de Vries equation","level":3,"score":0.650364875793457},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6478328108787537},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5793453454971313},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46342504024505615},{"id":"https://openalex.org/C60455284","wikidata":"https://www.wikidata.org/wiki/Q2162701","display_name":"Inverse Laplace transform","level":3,"score":0.45127007365226746},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.4508889317512512},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4416746497154236},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1687403917312622},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.066118985414505},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s2661335224500138","doi":"https://doi.org/10.1142/s2661335224500138","is_oa":true,"landing_page_url":"https://doi.org/10.1142/s2661335224500138","pdf_url":null,"source":{"id":"https://openalex.org/S4210193183","display_name":"International Journal of Mathematics for Industry","issn_l":"2661-3344","issn":["2661-3344","2661-3352"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-d","jufo-1","norway-1","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics for Industry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:434e7b27f7194eaba405545c52b3bc61","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/434e7b27f7194eaba405545c52b3bc61","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":"International Journal of Mathematics for Industry, Vol 16, Iss Supp01 (2024)","raw_type":"article"},{"id":"pmh:oai:i-rep.emu.edu.tr:11129/15508","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/11129/15508","pdf_url":null,"source":{"id":"https://openalex.org/S4306402300","display_name":"Eastern Mediterranean University Institutional Repository (Eastern Mediterranean University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I36515993","host_organization_name":"Eastern Mediterranean University","host_organization_lineage":["https://openalex.org/I36515993"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1142/s2661335224500138","doi":"https://doi.org/10.1142/s2661335224500138","is_oa":true,"landing_page_url":"https://doi.org/10.1142/s2661335224500138","pdf_url":null,"source":{"id":"https://openalex.org/S4210193183","display_name":"International Journal of Mathematics for Industry","issn_l":"2661-3344","issn":["2661-3344","2661-3352"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-d","jufo-1","norway-1","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics for Industry","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1930834775","https://openalex.org/W1969004631","https://openalex.org/W1986372629","https://openalex.org/W1986995623","https://openalex.org/W2012558679","https://openalex.org/W2116409676","https://openalex.org/W2163615705","https://openalex.org/W2298768416","https://openalex.org/W2925166304","https://openalex.org/W2944855064","https://openalex.org/W3016051667","https://openalex.org/W3025189135","https://openalex.org/W3118998834","https://openalex.org/W3203993577","https://openalex.org/W3204300372","https://openalex.org/W3205193953","https://openalex.org/W4206040879","https://openalex.org/W4286697500","https://openalex.org/W4291278671","https://openalex.org/W4296672686","https://openalex.org/W4313828739","https://openalex.org/W4391573904","https://openalex.org/W4393088791"],"related_works":["https://openalex.org/W2522321247","https://openalex.org/W2617102747","https://openalex.org/W2888534587","https://openalex.org/W2521099296","https://openalex.org/W3120159969","https://openalex.org/W2580980254","https://openalex.org/W2625097324","https://openalex.org/W2523620000","https://openalex.org/W2232211236","https://openalex.org/W3033839648"],"abstract_inverted_index":{"The":[0,46,71],"local":[1,23,37],"fractional":[2,24,38],"Korteweg\u2013de":[3],"Vries":[4],"equations":[5],"were":[6,19,64],"considered":[7,54,65],"in":[8,74,93],"this":[9,75,81],"paper.":[10],"Series":[11],"solutions":[12,52],"for":[13],"the":[14,22,33,36,42,51,56,67,78,88],"linear":[15],"and":[16,48,66,83,96,103],"nonlinear":[17],"case":[18],"examined":[20],"using":[21,55],"Laplace":[25,39],"transform":[26,40],"iterative":[27,44],"method.":[28,45],"This":[29],"proposed":[30],"method":[31,82],"is":[32,53],"coupling":[34],"of":[35,50,58,80,90],"with":[41,99],"new":[43],"existence":[47],"uniqueness":[49],"principle":[57],"mathematical":[59],"induction.":[60],"Furthermore,":[61],"illustrative":[62],"examples":[63],"graphs":[68],"are":[69],"shown.":[70],"results":[72],"obtained":[73],"study":[76],"reveal":[77],"benefit":[79],"provide":[84],"valuable":[85],"insight":[86],"into":[87],"behavior":[89],"complex":[91],"phenomena":[92],"a":[94],"precise":[95],"efficient":[97],"manner":[98],"less":[100],"computational":[101],"work":[102],"implementation":[104],"ease.":[105]},"counts_by_year":[],"updated_date":"2026-10-27T15:51:10.671819","created_date":"2024-05-11T00:00:00"}
