{"id":"https://openalex.org/W2912764473","doi":"https://doi.org/10.1093/imamci/dnx016","title":"OUP accepted manuscript","display_name":"OUP accepted manuscript","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2912764473","doi":"https://doi.org/10.1093/imamci/dnx016","mag":"2912764473"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnx016","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnx016","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ima Journal Of Mathematical Control And Information","raw_type":"journal-article"},"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/A5081793392","display_name":"S. Sepehr Tabatabaei","orcid":null},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"S Sepehr Tabatabaei","raw_affiliation_strings":["Department of Electrical Engineering Amirkabair University of Technology (Tehran Polytechnic), Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering Amirkabair University of Technology (Tehran Polytechnic), Tehran, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006822435","display_name":"Mohammad Javad Yazdanapanah","orcid":null},"institutions":[{"id":"https://openalex.org/I23946033","display_name":"University of Tehran","ror":"https://ror.org/05vf56z40","country_code":"IR","type":"education","lineage":["https://openalex.org/I23946033"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Javad Yazdanapanah","raw_affiliation_strings":["Control & Intelligent Processing Center of Excellence, School of Electrical and Computer Engineering, University of Tehran, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Control & Intelligent Processing Center of Excellence, School of Electrical and Computer Engineering, University of Tehran, Tehran, Iran","institution_ids":["https://openalex.org/I23946033"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003620596","display_name":"Mohammad Saleh Tavazoei","orcid":"https://orcid.org/0000-0002-5428-0816"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Saleh Tavazoei","raw_affiliation_strings":["Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5081793392"],"corresponding_institution_ids":["https://openalex.org/I158248296"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":1.0636,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.77717391,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9919999837875366,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9919999837875366,"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"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9898999929428101,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9886000156402588,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.7728544473648071},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6285147070884705},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5266591906547546},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.50741046667099},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.47986549139022827},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4671112298965454},{"id":"https://openalex.org/keywords/control-variable","display_name":"Control variable","score":0.46384647488594055},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4619370698928833},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4381033182144165},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4288565218448639},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4117240309715271},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40471768379211426},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3761617839336395},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11138316988945007}],"concepts":[{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.7728544473648071},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6285147070884705},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5266591906547546},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.50741046667099},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.47986549139022827},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4671112298965454},{"id":"https://openalex.org/C153240184","wikidata":"https://www.wikidata.org/wiki/Q3243772","display_name":"Control variable","level":2,"score":0.46384647488594055},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4619370698928833},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4381033182144165},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4288565218448639},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4117240309715271},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40471768379211426},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3761617839336395},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11138316988945007},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/imamci/dnx016","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnx016","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ima Journal Of Mathematical Control And Information","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W148919764","https://openalex.org/W1568221092","https://openalex.org/W1571391776","https://openalex.org/W1850511188","https://openalex.org/W1966844238","https://openalex.org/W1993100818","https://openalex.org/W1993680495","https://openalex.org/W1995487946","https://openalex.org/W2011743043","https://openalex.org/W2015312610","https://openalex.org/W2017663693","https://openalex.org/W2018784634","https://openalex.org/W2022216960","https://openalex.org/W2042289689","https://openalex.org/W2045268273","https://openalex.org/W2045957098","https://openalex.org/W2046361088","https://openalex.org/W2049217659","https://openalex.org/W2062163287","https://openalex.org/W2066105773","https://openalex.org/W2067701832","https://openalex.org/W2067815218","https://openalex.org/W2068392195","https://openalex.org/W2087052783","https://openalex.org/W2108829493","https://openalex.org/W2129597196","https://openalex.org/W2145631921","https://openalex.org/W2164835840","https://openalex.org/W2220077328","https://openalex.org/W2259227674","https://openalex.org/W3099384073","https://openalex.org/W3104377047"],"related_works":["https://openalex.org/W2077657322","https://openalex.org/W4283379263","https://openalex.org/W2113133070","https://openalex.org/W2109317839","https://openalex.org/W4200419666","https://openalex.org/W2029287765","https://openalex.org/W2006831092","https://openalex.org/W1859185863","https://openalex.org/W2951026378","https://openalex.org/W2256372689"],"abstract_inverted_index":{"This":[0],"article":[1,29],"presents":[2],"a":[3,50,63,72,83],"general":[4],"solution":[5],"scheme":[6],"for":[7],"finite":[8],"horizon":[9],"optimal":[10],"control":[11],"of":[12,27,35,47,52,60,65,89],"variable":[13,32,53,67],"order":[14,33,68],"Caputo":[15],"dynamic":[16],"systems":[17],"with":[18],"specified":[19],"initial":[20],"and":[21],"final":[22],"conditions.":[23],"The":[24],"main":[25,45],"approach":[26],"the":[28,39,44,48,58,79,87,90],"is":[30,54,75],"using":[31],"calculus":[34],"variations.":[36],"After":[37],"deriving":[38],"necessary":[40],"optimality":[41],"conditions,":[42],"as":[43,62],"contribution":[46],"article,":[49],"change":[51],"used":[55],"to":[56,77],"rearrange":[57],"set":[59,64],"conditions":[61],"coupled":[66],"differential":[69],"equations.":[70,81],"Then,":[71],"numerical":[73],"method":[74],"introduced":[76],"solve":[78],"corresponding":[80],"Finally,":[82],"case":[84],"study":[85],"shows":[86],"effectiveness":[88],"proposed":[91],"method.":[92]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2019-02-21T00:00:00"}