{"id":"https://openalex.org/W4408304369","doi":"https://doi.org/10.3390/sym17030417","title":"Fractional Optimal Control Problem for Symmetric System Involving Distributed-Order Atangana\u2013Baleanu Derivatives with Non-Singular Kernel","display_name":"Fractional Optimal Control Problem for Symmetric System Involving Distributed-Order Atangana\u2013Baleanu Derivatives with Non-Singular Kernel","publication_year":2025,"publication_date":"2025-03-10","ids":{"openalex":"https://openalex.org/W4408304369","doi":"https://doi.org/10.3390/sym17030417"},"language":"en","primary_location":{"id":"doi:10.3390/sym17030417","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17030417","pdf_url":"https://www.mdpi.com/2073-8994/17/3/417/pdf?version=1741615216","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/17/3/417/pdf?version=1741615216","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055557216","display_name":"G. M. Bahaa","orcid":"https://orcid.org/0000-0001-6670-3110"},"institutions":[{"id":"https://openalex.org/I113643904","display_name":"Beni-Suef University","ror":"https://ror.org/05pn4yv70","country_code":"EG","type":"education","lineage":["https://openalex.org/I113643904"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Bahaa Gaber Mohamed","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Sciences, Beni-Suef University, Beni-Suef 62511, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Sciences, Beni-Suef University, Beni-Suef 62511, Egypt","institution_ids":["https://openalex.org/I113643904"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111848528","display_name":"Ahlam Hasan Qamlo","orcid":"https://orcid.org/0000-0002-5127-7822"},"institutions":[{"id":"https://openalex.org/I199693650","display_name":"Umm al-Qura University","ror":"https://ror.org/01xjqrm90","country_code":"SA","type":"education","lineage":["https://openalex.org/I199693650"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Ahlam Hasan Qamlo","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences, Umm Al-Qura University, Makkah 21955, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, Umm Al-Qura University, Makkah 21955, Saudi Arabia","institution_ids":["https://openalex.org/I199693650"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055557216"],"corresponding_institution_ids":["https://openalex.org/I113643904"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":17.199,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.99351772,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"17","issue":"3","first_page":"417","last_page":"417"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9908000230789185,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9908000230789185,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9799000024795532,"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":0.9771999716758728,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6180501580238342},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5888651013374329},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5551975965499878},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49612388014793396},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4780583679676056},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4181218445301056},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3444148302078247},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3179054260253906},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2567277252674103}],"concepts":[{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6180501580238342},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5888651013374329},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5551975965499878},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49612388014793396},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4780583679676056},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4181218445301056},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3444148302078247},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3179054260253906},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2567277252674103},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/sym17030417","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17030417","pdf_url":"https://www.mdpi.com/2073-8994/17/3/417/pdf?version=1741615216","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3390/sym17030417","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17030417","pdf_url":"https://www.mdpi.com/2073-8994/17/3/417/pdf?version=1741615216","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4408304369.pdf"},"referenced_works_count":59,"referenced_works":["https://openalex.org/W200132056","https://openalex.org/W1571391776","https://openalex.org/W1667059803","https://openalex.org/W1973746210","https://openalex.org/W1976034302","https://openalex.org/W1982261380","https://openalex.org/W1993167529","https://openalex.org/W1995487946","https://openalex.org/W2003362737","https://openalex.org/W2015882123","https://openalex.org/W2026946703","https://openalex.org/W2027210259","https://openalex.org/W2029619001","https://openalex.org/W2037422518","https://openalex.org/W2062163287","https://openalex.org/W2068345729","https://openalex.org/W2083488564","https://openalex.org/W2084795903","https://openalex.org/W2084857775","https://openalex.org/W2120534562","https://openalex.org/W2159596543","https://openalex.org/W2160224285","https://openalex.org/W2319762022","https://openalex.org/W2381653605","https://openalex.org/W2480732224","https://openalex.org/W2514285052","https://openalex.org/W2567342073","https://openalex.org/W2605079518","https://openalex.org/W2743374530","https://openalex.org/W2747750973","https://openalex.org/W2767563574","https://openalex.org/W2767804429","https://openalex.org/W2793696350","https://openalex.org/W2936491923","https://openalex.org/W2963641381","https://openalex.org/W2963712117","https://openalex.org/W2964046643","https://openalex.org/W2964311954","https://openalex.org/W3038580841","https://openalex.org/W3082704015","https://openalex.org/W3098690120","https://openalex.org/W3158716607","https://openalex.org/W3162898523","https://openalex.org/W4235083600","https://openalex.org/W4256676789","https://openalex.org/W4378376858","https://openalex.org/W4378904642","https://openalex.org/W4386895296","https://openalex.org/W4391343073","https://openalex.org/W4392264968","https://openalex.org/W4394797395","https://openalex.org/W4400871352","https://openalex.org/W4406522375","https://openalex.org/W6632279571","https://openalex.org/W6673522657","https://openalex.org/W6680069083","https://openalex.org/W6685764665","https://openalex.org/W6730176618","https://openalex.org/W6804744009"],"related_works":["https://openalex.org/W1892002403","https://openalex.org/W4309005041","https://openalex.org/W2962746246","https://openalex.org/W1989531755","https://openalex.org/W1967384683","https://openalex.org/W2892237068","https://openalex.org/W1901119619","https://openalex.org/W1493568480","https://openalex.org/W4385967523","https://openalex.org/W2086351220"],"abstract_inverted_index":{"The":[0,63,91],"objective":[1],"of":[2,15,24,31,54,71,77,84,104],"this":[3],"work":[4],"is":[5,80],"to":[6,108],"discuss":[7],"and":[8,47,73,88,101],"thoroughly":[9],"analyze":[10],"the":[11,27,74,85,89,98,102,110,114],"fractional":[12,28,32,55,94],"variational":[13],"principles":[14],"symmetric":[16],"systems":[17,36],"involving":[18],"distributed-order":[19],"Atangana\u2013Baleanu":[20,40],"derivatives.":[21,41],"A":[22],"component":[23],"distributed":[25],"order,":[26],"Euler\u2013Lagrange":[29,111],"equations":[30,112],"Lagrangians":[33],"for":[34,51,60,93,113],"constrained":[35],"are":[37,66,106],"studied":[38],"concerning":[39],"We":[42],"give":[43],"a":[44,48,52,69,82],"general":[45],"formulation":[46],"solution":[49],"technique":[50],"class":[53],"optimal":[56],"control":[57,86],"problems":[58],"(FOCPs)":[59],"such":[61],"systems.":[62],"dynamic":[64],"constraints":[65],"defined":[67],"by":[68,96],"collection":[70],"FDEs,":[72],"performance":[75],"index":[76],"an":[78],"FOCP":[79],"considered":[81],"function":[83],"variables":[87],"state.":[90],"formula":[92],"integration":[95],"parts,":[97],"Lagrange":[99],"multiplier,":[100],"calculus":[103],"variations":[105],"used":[107],"obtain":[109],"FOCPs.":[115]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":3}],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2025-10-10T00:00:00"}
