{"id":"https://openalex.org/W2796463333","doi":"https://doi.org/10.1051/mmnp/2018007","title":"Application of Atangana-Baleanu fractional derivative to convection flow of MHD Maxwell fluid in a porous medium over a vertical plate","display_name":"Application of Atangana-Baleanu fractional derivative to convection flow of MHD Maxwell fluid in a porous medium over a vertical plate","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2796463333","doi":"https://doi.org/10.1051/mmnp/2018007","mag":"2796463333"},"language":"en","primary_location":{"id":"doi:10.1051/mmnp/2018007","doi":"https://doi.org/10.1051/mmnp/2018007","is_oa":false,"landing_page_url":"https://doi.org/10.1051/mmnp/2018007","pdf_url":null,"source":{"id":"https://openalex.org/S15090102","display_name":"Mathematical Modelling of Natural Phenomena","issn_l":"0973-5348","issn":["0973-5348","1760-6101"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Modelling of Natural Phenomena","raw_type":"journal-article"},"volume":null,"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/A5025139079","display_name":"Kashif Ali Abro","orcid":"https://orcid.org/0000-0003-0867-642X","observed_orcids":["https://orcid.org/0000-0003-0867-642X"]},"institutions":[{"id":"https://openalex.org/I180291457","display_name":"Mehran University of Engineering and Technology","ror":"https://ror.org/0575ttm03","country_code":"PK","type":"education","lineage":["https://openalex.org/I180291457"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"K.A. Abro","raw_affiliation_strings":["Department of Basic Sciences and Related Studies, Mehran University of Engineering Technology, Jamshoro, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Basic Sciences and Related Studies, Mehran University of Engineering Technology, Jamshoro, Pakistan","institution_ids":["https://openalex.org/I180291457"]}]},{"author_position":"middle","author":{"id":null,"display_name":"I. Khan","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I195631090","display_name":"Majmaah University","ror":"https://ror.org/01mcrnj60","country_code":"SA","type":"education","lineage":["https://openalex.org/I195631090"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"I. Khan","raw_affiliation_strings":["Basic Engineering Sciences Department, College of Engineering Majmaah University, Majmaah 11952, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Basic Engineering Sciences Department, College of Engineering Majmaah University, Majmaah 11952, Saudi Arabia","institution_ids":["https://openalex.org/I195631090"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008596168","display_name":"Asifa Tassaddiq","orcid":"https://orcid.org/0000-0002-6165-8055","observed_orcids":["https://orcid.org/0000-0002-6165-8055"]},"institutions":[{"id":"https://openalex.org/I195631090","display_name":"Majmaah University","ror":"https://ror.org/01mcrnj60","country_code":"SA","type":"education","lineage":["https://openalex.org/I195631090"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"A. Tassaddiq","raw_affiliation_strings":["College of Computer and Information Sciences, Majmaah University, Majmaah 11952, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer and Information Sciences, Majmaah University, Majmaah 11952, Saudi Arabia","institution_ids":["https://openalex.org/I195631090"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":0,"currency":"EUR","value_usd":0},"apc_paid":null,"fwci":17.498,"has_fulltext":false,"cited_by_count":127,"citation_normalized_percentile":{"value":0.99548495,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"13","issue":"1","first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9970999956130981,"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":0.9970999956130981,"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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.0007999999797903001,"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/T12063","display_name":"Heat and Mass Transfer in Porous Media","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/atangana-baleanu-fractional-derivative","display_name":"Atangana-Baleanu derivative","score":0.9980000257492065},{"id":"https://openalex.org/keywords/maxwell-fluid","display_name":"Maxwell fluid","score":0.7649999856948853},{"id":"https://openalex.org/keywords/magnetohydrodynamics","display_name":"magnetohydrodynamics","score":0.906000018119812},{"id":"https://openalex.org/keywords/convective-flow","display_name":"convective flow","score":0.8240000009536743},{"id":"https://openalex.org/keywords/porous-media","display_name":"porous media","score":0.8980000019073486},{"id":"https://openalex.org/keywords/vertical-plate","display_name":"vertical plate","score":0.9959999918937683},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"heat transfer","score":0.9810000061988831},{"id":"https://openalex.org/keywords/oscillating-plate","display_name":"oscillating plate","score":0.7279999852180481},{"id":"https://openalex.org/keywords/fox-h-function","display_name":"Fox H-function","score":0.9330000281333923},{"id":"https://openalex.org/keywords/fractional-parameter","display_name":"fractional parameter","score":0.6039999723434448},{"id":"https://openalex.org/keywords/prandtl-number","display_name":"Prandtl number","score":0.8180000185966492},{"id":"https://openalex.org/keywords/velocity-field","display_name":"velocity field","score":0.5090000033378601},{"id":"https://openalex.org/keywords/temperature-distribution","display_name":"temperature distribution","score":0.9860000014305115}],"concepts":[{"id":"https://openalex.org/C42471609","wikidata":"https://www.wikidata.org/wiki/Q1779048","display_name":"Magnetohydrodynamic drive","level":4,"score":0.8178024888038635},{"id":"https://openalex.org/C72687893","wikidata":"https://www.wikidata.org/wiki/Q815306","display_name":"Prandtl number","level":3,"score":0.745718240737915},{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.7366949915885925},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6152063608169556},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.6107951402664185},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.5660213232040405},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5598893761634827},{"id":"https://openalex.org/C2777869274","wikidata":"https://www.wikidata.org/wiki/Q1587280","display_name":"Hartmann number","level":5,"score":0.5265662670135498},{"id":"https://openalex.org/C54791560","wikidata":"https://www.wikidata.org/wiki/Q3285020","display_name":"Natural convection","level":3,"score":0.49407222867012024},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.44529300928115845},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.41393446922302246},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4107302129268646},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.4089128077030182},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3829082250595093},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34629514813423157},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3384079933166504},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3269474506378174},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.3180766701698303},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.27311256527900696},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/mmnp/2018007","doi":"https://doi.org/10.1051/mmnp/2018007","is_oa":false,"landing_page_url":"https://doi.org/10.1051/mmnp/2018007","pdf_url":null,"source":{"id":"https://openalex.org/S15090102","display_name":"Mathematical Modelling of Natural Phenomena","issn_l":"0973-5348","issn":["0973-5348","1760-6101"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Modelling of Natural Phenomena","raw_type":"journal-article"},{"id":"pmh:oai:edpsciences.org:dkey/10.1051/mmnp/2018007","doi":null,"is_oa":false,"landing_page_url":"https://www.mmnp-journal.org/10.1051/mmnp/2018007/pdf","pdf_url":"https://www.mmnp-journal.org/10.1051/mmnp/2018007/pdf","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1051/mmnp/2018007","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W1218328589","https://openalex.org/W1966226718","https://openalex.org/W1983819329","https://openalex.org/W1987667704","https://openalex.org/W1994707903","https://openalex.org/W1996407730","https://openalex.org/W2011332624","https://openalex.org/W2014570093","https://openalex.org/W2043182048","https://openalex.org/W2053546306","https://openalex.org/W2091983544","https://openalex.org/W2093503291","https://openalex.org/W2093640565","https://openalex.org/W2103601324","https://openalex.org/W2116533849","https://openalex.org/W2136781509","https://openalex.org/W2138512467","https://openalex.org/W2293508421","https://openalex.org/W2298807736","https://openalex.org/W2314410622","https://openalex.org/W2324364882","https://openalex.org/W2326680257","https://openalex.org/W2344773410","https://openalex.org/W2471528821","https://openalex.org/W2527046887","https://openalex.org/W2527882639","https://openalex.org/W2556208256","https://openalex.org/W2558714378","https://openalex.org/W2562074243","https://openalex.org/W2563088241","https://openalex.org/W2582089288","https://openalex.org/W2582324836","https://openalex.org/W2597338218","https://openalex.org/W2603388538","https://openalex.org/W2606022804","https://openalex.org/W2608264477","https://openalex.org/W2613546377","https://openalex.org/W2614989894","https://openalex.org/W2626015554","https://openalex.org/W2697009840","https://openalex.org/W2741582700","https://openalex.org/W2742212716","https://openalex.org/W2745867808","https://openalex.org/W2747907370","https://openalex.org/W2748803022","https://openalex.org/W2749717537","https://openalex.org/W2759824122","https://openalex.org/W2963641381","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W181432878","https://openalex.org/W2779852431","https://openalex.org/W3210210253","https://openalex.org/W2113989167","https://openalex.org/W433148314","https://openalex.org/W2413686694","https://openalex.org/W2523687045","https://openalex.org/W2185731803","https://openalex.org/W2548483393","https://openalex.org/W2132843007"],"abstract_inverted_index":{"Atangana-Baleanu":[0],"fractional":[1,85],"derivative":[2],"has":[3],"been":[4,29,55],"applied":[5],"to":[6],"study":[7],"heat":[8],"transfer":[9],"problem":[10],"of":[11,48,59],"magnetohydrodynamic":[12],"(MHD)":[13],"Maxwell":[14,78],"fluid":[15],"over":[16],"a":[17,22],"vertical":[18],"plate":[19],"embedded":[20,72],"in":[21,57],"porous":[23,80],"medium.":[24],"The":[25,51,64],"analytical":[26],"solutions":[27,53],"have":[28,54],"obtained":[30],"for":[31,42,71],"temperature":[32],"distribution":[33],"and":[34,45,69,84],"velocity":[35],"field":[36],"by":[37],"employing":[38],"Laplace":[39],"transforms":[40],"technique":[41],"both":[43],"sine":[44],"cosine":[46],"oscillations":[47],"the":[49],"plate.":[50],"general":[52],"expressed":[56],"terms":[58],"Fox-Hfunction":[60],"satisfying":[61],"imposed":[62],"conditions.":[63],"results":[65],"are":[66],"plotted":[67],"graphically":[68],"discussed":[70],"parameters":[73],"such":[74],"as":[75],"magnetic":[76],"field,":[77],"parameter,":[79],"medium,":[81],"Prandtl":[82],"number":[83],"parameter.":[86]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":26},{"year":2020,"cited_by_count":29},{"year":2019,"cited_by_count":36},{"year":2018,"cited_by_count":9}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}