{"id":"https://openalex.org/W4392599966","doi":"https://doi.org/10.3389/fams.2024.1323759","title":"Unveiling new insights: taming complex local fractional Burger equations with the local fractional Elzaki transform decomposition method","display_name":"Unveiling new insights: taming complex local fractional Burger equations with the local fractional Elzaki transform decomposition method","publication_year":2024,"publication_date":"2024-03-08","ids":{"openalex":"https://openalex.org/W4392599966","doi":"https://doi.org/10.3389/fams.2024.1323759"},"language":"en","primary_location":{"id":"doi:10.3389/fams.2024.1323759","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2024.1323759","pdf_url":"https://www.frontiersin.org/articles/10.3389/fams.2024.1323759/pdf?isPublishedV2=False","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.frontiersin.org/articles/10.3389/fams.2024.1323759/pdf?isPublishedV2=False","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056160727","display_name":"Ghaliah Alhamzi","orcid":"https://orcid.org/0000-0002-9146-7145"},"institutions":[{"id":"https://openalex.org/I240666556","display_name":"Imam Mohammad ibn Saud Islamic University","ror":"https://ror.org/05gxjyb39","country_code":"SA","type":"education","lineage":["https://openalex.org/I240666556"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Ghaliah Alhamzi","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia","Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I240666556"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Saudi Arabia","institution_ids":["https://openalex.org/I240666556"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058723630","display_name":"Jitendra Prasad","orcid":"https://orcid.org/0000-0001-6389-955X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. G. Prasad","raw_affiliation_strings":["Department of Mathematics, Amity School of Applied Sciences, Amity University Rajasthan, Jaipur, Rajasthan, India","Department of Mathematics, Amity School of Applied Sciences, Amity University Rajasthan, Jaipur, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Amity School of Applied Sciences, Amity University Rajasthan, Jaipur, Rajasthan, India","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, Amity School of Applied Sciences, Amity University Rajasthan, Jaipur, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066887622","display_name":"Badr Saad T. Alkahtani","orcid":"https://orcid.org/0000-0002-2864-6888"},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"B. S. T. Alkahtani","raw_affiliation_strings":["Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia","Department of Mathematics, College of Science, King Saud University, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]},{"raw_affiliation_string":"Department of Mathematics, College of Science, King Saud University, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069148452","display_name":"Ravi Shanker Dubey","orcid":"https://orcid.org/0000-0002-3019-4438"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"R. S. Dubey","raw_affiliation_strings":["Department of Mathematics, Amity School of Applied Sciences, Amity University Rajasthan, Jaipur, Rajasthan, India","Department of Mathematics, Amity School of Applied Sciences, Amity University Rajasthan, Jaipur, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Amity School of Applied Sciences, Amity University Rajasthan, Jaipur, Rajasthan, India","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, Amity School of Applied Sciences, Amity University Rajasthan, Jaipur, India","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5069148452"],"corresponding_institution_ids":[],"apc_list":{"value":1150,"currency":"USD","value_usd":1150},"apc_paid":{"value":1150,"currency":"USD","value_usd":1150},"fwci":1.0734,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72007042,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"10","issue":null,"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":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/T10514","display_name":"Numerical methods in engineering","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9977999925613403,"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/fractional-calculus","display_name":"Fractional calculus","score":0.6271344423294067},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5563259124755859},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.545326828956604},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.49717071652412415},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44854021072387695},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12767428159713745}],"concepts":[{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6271344423294067},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5563259124755859},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.545326828956604},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.49717071652412415},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44854021072387695},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12767428159713745},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3389/fams.2024.1323759","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2024.1323759","pdf_url":"https://www.frontiersin.org/articles/10.3389/fams.2024.1323759/pdf?isPublishedV2=False","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c2250fd65bfc49fc8ce4ea3f23917f88","is_oa":false,"landing_page_url":"https://doaj.org/article/c2250fd65bfc49fc8ce4ea3f23917f88","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,"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":"Frontiers in Applied Mathematics and Statistics, Vol 10 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3389/fams.2024.1323759","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2024.1323759","pdf_url":"https://www.frontiersin.org/articles/10.3389/fams.2024.1323759/pdf?isPublishedV2=False","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320325415","display_name":"Al-Imam Muhammad Ibn Saud Islamic University","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392599966.pdf"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W1057021034","https://openalex.org/W1535264379","https://openalex.org/W1977560113","https://openalex.org/W1995326656","https://openalex.org/W2001110964","https://openalex.org/W2002701110","https://openalex.org/W2024093795","https://openalex.org/W2042386123","https://openalex.org/W2066075687","https://openalex.org/W2070454382","https://openalex.org/W2090075923","https://openalex.org/W2138514701","https://openalex.org/W2279184700","https://openalex.org/W2299012056","https://openalex.org/W2299647821","https://openalex.org/W2611900014","https://openalex.org/W2894140222","https://openalex.org/W2935810358","https://openalex.org/W2971570151","https://openalex.org/W2999355765","https://openalex.org/W3076668919","https://openalex.org/W3113439176","https://openalex.org/W3119974501","https://openalex.org/W3173394262","https://openalex.org/W3204300372","https://openalex.org/W4220674014","https://openalex.org/W4311627240","https://openalex.org/W4313366827","https://openalex.org/W4319922448","https://openalex.org/W4321513643","https://openalex.org/W4323767790","https://openalex.org/W4378450157","https://openalex.org/W4384563354","https://openalex.org/W4385407721","https://openalex.org/W4386699113","https://openalex.org/W4387220150","https://openalex.org/W4387402269","https://openalex.org/W4387747591","https://openalex.org/W4388041324","https://openalex.org/W4388041351","https://openalex.org/W4390347622","https://openalex.org/W6632330605"],"related_works":["https://openalex.org/W2330487432","https://openalex.org/W2153629319","https://openalex.org/W2104316494","https://openalex.org/W239705756","https://openalex.org/W156119379","https://openalex.org/W1572127335","https://openalex.org/W2082139080","https://openalex.org/W4231015910","https://openalex.org/W2364847091","https://openalex.org/W1547852488"],"abstract_inverted_index":{"This":[0,44],"study":[1],"aims":[2],"to":[3,48,95,113,123],"address":[4],"the":[5,29,36,40,61,106,125],"difficulties":[6],"in":[7,24,28,110],"solving":[8],"coupled":[9],"generalized":[10],"non-linear":[11,56,85],"Burger":[12],"equations":[13,59,88],"using":[14],"local":[15,32,62],"fractional":[16,33,63],"calculus":[17],"as":[18],"a":[19,50,74,101],"framework.":[20],"The":[21,70,117],"methodology":[22],"used":[23],"this":[25,129],"work,":[26],"particularly":[27],"area":[30],"of":[31,128],"calculus,":[34],"combines":[35],"Elzaki":[37],"transform":[38],"with":[39],"Adomian":[41],"decomposition":[42],"method.":[43],"combination":[45],"has":[46],"proven":[47],"be":[49],"highly":[51],"effective":[52],"strategy":[53],"for":[54,80],"addressing":[55],"partial":[57,86],"differential":[58,87],"within":[60],"context,":[64],"which":[65],"finds":[66],"numerous":[67],"practical":[68,126],"applications.":[69],"proposed":[71],"method":[72],"offers":[73],"systematic":[75],"and":[76,84],"easily":[77],"understandable":[78],"procedure":[79],"tackling":[81],"both":[82],"linear":[83],"(PDEs).":[89],"It":[90],"provides":[91],"an":[92],"easy-to-follow":[93],"path":[94],"solve":[96],"these":[97],"problems.":[98],"We":[99],"offer":[100],"real-world":[102],"example":[103],"that":[104],"exhibits":[105],"method's":[107],"successful":[108],"use":[109],"resolving":[111],"issues":[112],"corroborate":[114],"its":[115],"efficacy.":[116],"obtained":[118],"solution":[119],"is":[120],"visually":[121],"represented":[122],"illustrate":[124],"utility":[127],"approach.":[130],"2010":[131],"Mathematics":[132],"Subject":[133],"Classification":[134],"34A34,":[135],"65M06,":[136],"26A33.":[137]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}