{"id":"https://openalex.org/W2002643475","doi":"https://doi.org/10.1109/ascc.2013.6606331","title":"Approximation of a thermal diffusive interface fractional-order system — Part 1: Application to a semi-infinite plane","display_name":"Approximation of a thermal diffusive interface fractional-order system — Part 1: Application to a semi-infinite plane","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W2002643475","doi":"https://doi.org/10.1109/ascc.2013.6606331","mag":"2002643475"},"language":"en","primary_location":{"id":"doi:10.1109/ascc.2013.6606331","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ascc.2013.6606331","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 9th Asian Control Conference (ASCC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5042344642","display_name":"Roy Abi Zeid Daou","orcid":"https://orcid.org/0000-0002-0614-3438"},"institutions":[{"id":"https://openalex.org/I41535483","display_name":"Lebanese German University","ror":"https://ror.org/03x9g7m54","country_code":"LB","type":"education","lineage":["https://openalex.org/I41535483"]}],"countries":["LB"],"is_corresponding":false,"raw_author_name":"Roy Abi Zeid Daou","raw_affiliation_strings":["Faculty of Public Health, Biomedical Technologies department, Lebanese German University, Jounieh, Lebanon","Biomed. Technol. Dept., Lebanese German Univ., Sahel Alma, Lebanon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Public Health, Biomedical Technologies department, Lebanese German University, Jounieh, Lebanon","institution_ids":["https://openalex.org/I41535483"]},{"raw_affiliation_string":"Biomed. Technol. Dept., Lebanese German Univ., Sahel Alma, Lebanon","institution_ids":["https://openalex.org/I41535483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066717368","display_name":"Fady Christophy","orcid":null},"institutions":[{"id":"https://openalex.org/I41535483","display_name":"Lebanese German University","ror":"https://ror.org/03x9g7m54","country_code":"LB","type":"education","lineage":["https://openalex.org/I41535483"]}],"countries":["LB"],"is_corresponding":false,"raw_author_name":"Fady Christophy","raw_affiliation_strings":["Lebanese German University, Faculty of Public Health, Biomedical Technologies department, Sahel Alma - P.O. Box: 206, Jounieh, Lebanon","Biomed. Technol. Dept., Lebanese German Univ., Sahel Alma, Lebanon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lebanese German University, Faculty of Public Health, Biomedical Technologies department, Sahel Alma - P.O. Box: 206, Jounieh, Lebanon","institution_ids":["https://openalex.org/I41535483"]},{"raw_affiliation_string":"Biomed. Technol. Dept., Lebanese German Univ., Sahel Alma, Lebanon","institution_ids":["https://openalex.org/I41535483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106125493","display_name":"Riad Assaf","orcid":"https://orcid.org/0000-0003-0892-8017"},"institutions":[{"id":"https://openalex.org/I41535483","display_name":"Lebanese German University","ror":"https://ror.org/03x9g7m54","country_code":"LB","type":"education","lineage":["https://openalex.org/I41535483"]}],"countries":["LB"],"is_corresponding":false,"raw_author_name":"Riad Assaf","raw_affiliation_strings":["Lebanese German University, Faculty of Public Health, Biomedical Technologies department, Sahel Alma - P.O. Box: 206, Jounieh, Lebanon","Biomed. Technol. Dept., Lebanese German Univ., Sahel Alma, Lebanon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lebanese German University, Faculty of Public Health, Biomedical Technologies department, Sahel Alma - P.O. Box: 206, Jounieh, Lebanon","institution_ids":["https://openalex.org/I41535483"]},{"raw_affiliation_string":"Biomed. Technol. Dept., Lebanese German Univ., Sahel Alma, Lebanon","institution_ids":["https://openalex.org/I41535483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038965744","display_name":"Xavier Moreau","orcid":"https://orcid.org/0000-0002-6737-9671"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Xavier Moreau","raw_affiliation_strings":["Laboratory IMS, UMR 5218 CNRS, University of Bordeaux 1, Bordeaux, France","Lab. IMS, Univ. of Bordeaux I, Bordeaux, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory IMS, UMR 5218 CNRS, University of Bordeaux 1, Bordeaux, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"Lab. IMS, Univ. of Bordeaux I, Bordeaux, France","institution_ids":["https://openalex.org/I15057530","https://openalex.org/I4210160189"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9997000098228455,"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":0.9997000098228455,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.989300012588501,"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/plane","display_name":"Plane (geometry)","score":0.6396133899688721},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5636007785797119},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.5291027426719666},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5150896906852722},{"id":"https://openalex.org/keywords/thermal","display_name":"Thermal","score":0.4791014492511749},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4661387801170349},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4601365625858307},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43351346254348755},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4225204586982727},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.27568870782852173},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.16725346446037292},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1321902573108673},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.11528629064559937}],"concepts":[{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.6396133899688721},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5636007785797119},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.5291027426719666},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5150896906852722},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.4791014492511749},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4661387801170349},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4601365625858307},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43351346254348755},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4225204586982727},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27568870782852173},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.16725346446037292},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1321902573108673},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.11528629064559937},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.0},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ascc.2013.6606331","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ascc.2013.6606331","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 9th Asian Control Conference (ASCC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W9803135","https://openalex.org/W1553338987","https://openalex.org/W1653467376","https://openalex.org/W1926938602","https://openalex.org/W1971827825","https://openalex.org/W1974971529","https://openalex.org/W1989556254","https://openalex.org/W2006711696","https://openalex.org/W2012661482","https://openalex.org/W2016708147","https://openalex.org/W2054725072","https://openalex.org/W2070541368","https://openalex.org/W2080109200","https://openalex.org/W2135330956","https://openalex.org/W2140579619","https://openalex.org/W2163880540"],"related_works":["https://openalex.org/W2378005410","https://openalex.org/W2170435352","https://openalex.org/W2048876619","https://openalex.org/W1570606890","https://openalex.org/W145847954","https://openalex.org/W365436934","https://openalex.org/W2371953206","https://openalex.org/W2361023359","https://openalex.org/W2349543044","https://openalex.org/W3007915326"],"abstract_inverted_index":{"The":[0,106,120],"fractional":[1,23,98],"differentiation":[2],"and":[3,37],"integration":[4],"exist":[5],"in":[6,66],"natural":[7],"phenomena":[8],"or":[9],"can":[10],"be":[11],"artificially":[12],"introduced":[13],"into":[14],"other":[15],"domains.":[16],"Concerning":[17],"the":[18,22,29,35,38,48,59,63,70,73,85,97,102,113,124],"thermal":[19],"diffusive":[20],"interface,":[21],"expression":[24],"is":[25,55,90],"emphasized":[26],"when":[27,51],"taking":[28],"applied":[30],"flux":[31],"as":[32,44],"input":[33,80],"for":[34,78],"system":[36,74,99],"measured":[39],"temperature":[40],"at":[41,75,81],"any":[42,76,79,82],"point":[43,77],"an":[45],"output.":[46],"However,":[47],"main":[49],"problem":[50],"facing":[52],"such":[53],"systems":[54],"to":[56,62,68,91,95,127],"pass":[57],"from":[58],"frequency":[60],"domain":[61,65],"time":[64],"order":[67],"estimate":[69],"response":[71],"of":[72,87,109,115],"instance.":[83],"So,":[84],"aim":[86],"this":[88,110],"work":[89,111],"present":[92],"a":[93,116],"method":[94],"approximate":[96],"that":[100,123],"models":[101],"semi-infinite":[103],"plane":[104,118],"medium.":[105,119],"second":[107],"part":[108],"presents":[112],"approximation":[114,125],"finite":[117],"results":[121],"show":[122],"leads":[126],"very":[128],"good":[129],"behaviour.":[130]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}