{"id":"https://openalex.org/W4251705829","doi":"https://doi.org/10.1109/ascc.2013.6606332","title":"Approximation of a thermal diffusive interface fractional-order system — Part 2: Application to a finite plane medium","display_name":"Approximation of a thermal diffusive interface fractional-order system — Part 2: Application to a finite plane medium","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W4251705829","doi":"https://doi.org/10.1109/ascc.2013.6606332"},"language":"en","primary_location":{"id":"doi:10.1109/ascc.2013.6606332","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ascc.2013.6606332","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/A5066717368","display_name":"Fady Christophy","orcid":null},"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/I41535483","display_name":"Lebanese German University","ror":"https://ror.org/03x9g7m54","country_code":"LB","type":"education","lineage":["https://openalex.org/I41535483"]},{"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","LB"],"is_corresponding":false,"raw_author_name":"Fady Christophy","raw_affiliation_strings":["Faculty of Public Health, Lebanese German University, Jounieh, Lebanon","University of Bordeaux I, UMR 5218 CNRS, Talence, Bordeaux, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Public Health, Lebanese German University, Jounieh, Lebanon","institution_ids":["https://openalex.org/I41535483"]},{"raw_affiliation_string":"University of Bordeaux I, UMR 5218 CNRS, Talence, Bordeaux, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210160189"]}]},{"author_position":"middle","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":["Lebanese German University, Faculty of Public Health, Biomedical Technologies department, Sahel Alma - P.O. Box: 206, Jounieh, 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"]}]},{"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/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/I41535483","display_name":"Lebanese German University","ror":"https://ror.org/03x9g7m54","country_code":"LB","type":"education","lineage":["https://openalex.org/I41535483"]},{"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","LB"],"is_corresponding":false,"raw_author_name":"Riad Assaf","raw_affiliation_strings":["Faculty of Public Health, Lebanese German University, Jounieh, Lebanon","University of Bordeaux I, UMR 5218 CNRS, Talence, Bordeaux, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Public Health, Lebanese German University, Jounieh, Lebanon","institution_ids":["https://openalex.org/I41535483"]},{"raw_affiliation_string":"University of Bordeaux I, UMR 5218 CNRS, Talence, Bordeaux, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210160189"]}]},{"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":["University of Bordeaux I, UMR 5218 CNRS, Talence, Bordeaux, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bordeaux I, UMR 5218 CNRS, Talence, Bordeaux, France","institution_ids":["https://openalex.org/I1294671590","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":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"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":0.9986000061035156,"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":0.9986000061035156,"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":0.996399998664856,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9733999967575073,"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/boundary-value-problem","display_name":"Boundary value problem","score":0.6475721001625061},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5653767585754395},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.5434236526489258},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.528701901435852},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.517454206943512},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.510670006275177},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.4753779470920563},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.4718582332134247},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.4683223366737366},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.42369717359542847},{"id":"https://openalex.org/keywords/complex-plane","display_name":"Complex plane","score":0.41905951499938965},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41033002734184265},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3576461970806122},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3246147632598877},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.31553369760513306},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.174004465341568},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.1532379388809204}],"concepts":[{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6475721001625061},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5653767585754395},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.5434236526489258},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.528701901435852},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.517454206943512},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.510670006275177},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.4753779470920563},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4718582332134247},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.4683223366737366},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.42369717359542847},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.41905951499938965},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41033002734184265},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3576461970806122},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3246147632598877},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.31553369760513306},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.174004465341568},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.1532379388809204},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"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/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ascc.2013.6606332","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ascc.2013.6606332","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W561605421","https://openalex.org/W604736347","https://openalex.org/W1974971529","https://openalex.org/W2012661482","https://openalex.org/W2140579619","https://openalex.org/W2730193802","https://openalex.org/W4298059575"],"related_works":["https://openalex.org/W2366352762","https://openalex.org/W2613964090","https://openalex.org/W2081322886","https://openalex.org/W2380425739","https://openalex.org/W2349324463","https://openalex.org/W1988313539","https://openalex.org/W2027541371","https://openalex.org/W2999616507","https://openalex.org/W4392238179","https://openalex.org/W294608323"],"abstract_inverted_index":{"As":[0,88],"in":[1,32,45,146],"the":[2,5,18,21,33,36,39,42,46,69,73,79,83,90,94,128,132,143,147,152],"first":[3,34,76,148],"part,":[4,35],"main":[6],"purpose":[7],"of":[8,23,28,41,72,97,131],"this":[9,51,103,138],"work":[10],"is":[11,75,135,140],"to":[12,17,118,150,162],"derive":[13],"some":[14],"models":[15],"used":[16,161],"design":[19],"and":[20,38,82],"validation":[22],"an":[24],"automatic":[25],"control":[26,133],"system":[27],"temperature.":[29],"After":[30],"presenting,":[31],"modelling":[37],"approximation":[40],"diffusive":[43],"interface":[44],"homogeneous":[47,56],"semi-infinite":[48,91],"plane":[49,58,92],"medium,":[50,93],"second":[52],"part":[53,149],"deals":[54],"with":[55],"finite":[57,121],"medium.":[59],"From":[60],"partial":[61],"differential":[62],"equations":[63],"that":[64,116],"govern":[65],"one-dimensional":[66],"heat":[67],"transfer,":[68],"transfer":[70],"function":[71],"medium":[74,122,126],"computed":[77],"considering":[78],"boundary":[80],"conditions":[81],"initial":[84],"time":[85,163],"temperature":[86],"value.":[87],"for":[89,102,108],"fractional":[95,153],"integrator":[96],"order":[98],"0.5":[99],"appears.":[100],"However,":[101],"case,":[104],"it":[105],"shows":[106],"up":[107],"a":[109,114,120,124,156],"limited":[110],"frequency":[111,130],"range.":[112],"Then,":[113],"condition":[115,139],"permits":[117],"consider":[119],"as":[123],"semiinfinite":[125],"around":[127],"crossover":[129],"loop":[134],"proposed.":[136],"If":[137],"respected,":[141],"then":[142],"method":[144],"presented":[145],"approximate":[151],"model":[154,158],"by":[155],"rational":[157],"can":[159],"be":[160],"simulation.":[164]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}