{"id":"https://openalex.org/W7124894930","doi":"https://doi.org/10.1016/j.cnsns.2026.109765","title":"A fully direct transcription method for solving distributed-order time-fractional diffusion optimal control problems with unilateral constraints","display_name":"A fully direct transcription method for solving distributed-order time-fractional diffusion optimal control problems with unilateral constraints","publication_year":2026,"publication_date":"2026-01-20","ids":{"openalex":"https://openalex.org/W7124894930","doi":"https://doi.org/10.1016/j.cnsns.2026.109765"},"language":"en","primary_location":{"id":"doi:10.1016/j.cnsns.2026.109765","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.109765","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","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/A5048028661","display_name":"Roya Vaziri Doghezlou","orcid":"https://orcid.org/0009-0001-6339-9608"},"institutions":[{"id":"https://openalex.org/I105818395","display_name":"University of Kashan","ror":"https://ror.org/015zmr509","country_code":"IR","type":"education","lineage":["https://openalex.org/I105818395"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Roya Vaziri Doghezlou","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematical Science, University of Kashan, Kashan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematical Science, University of Kashan, Kashan, Iran","institution_ids":["https://openalex.org/I105818395"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033975371","display_name":"Hamid Reza Tabrizidooz","orcid":"https://orcid.org/0000-0003-2443-4893"},"institutions":[{"id":"https://openalex.org/I105818395","display_name":"University of Kashan","ror":"https://ror.org/015zmr509","country_code":"IR","type":"education","lineage":["https://openalex.org/I105818395"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Hamid Reza Tabrizidooz","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematical Science, University of Kashan, Kashan, Iran"],"raw_orcid":"https://orcid.org/0000-0003-2443-4893","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematical Science, University of Kashan, Kashan, Iran","institution_ids":["https://openalex.org/I105818395"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102288538","display_name":"Mostafa Shamsi","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":false,"raw_author_name":"Mostafa Shamsi","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I158248296"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033975371"],"corresponding_institution_ids":["https://openalex.org/I105818395"],"apc_list":{"value":3460,"currency":"USD","value_usd":3460},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12667834,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"158","issue":null,"first_page":"109765","last_page":"109765"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9351999759674072,"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":0.9351999759674072,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.01899999938905239,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.014999999664723873,"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/uniqueness","display_name":"Uniqueness","score":0.6434000134468079},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6003999710083008},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5634999871253967},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5439000129699707},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4724999964237213},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.41530001163482666},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.38999998569488525},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.36739999055862427}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7145000100135803},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6434000134468079},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6003999710083008},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5634999871253967},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5453000068664551},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5439000129699707},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4724999964237213},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4474000036716461},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.41530001163482666},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.38999998569488525},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.36739999055862427},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3662000000476837},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.33309999108314514},{"id":"https://openalex.org/C2776544107","wikidata":"https://www.wikidata.org/wiki/Q5280367","display_name":"Direct methods","level":2,"score":0.3041999936103821},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2858000099658966},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.27959999442100525},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.2770000100135803},{"id":"https://openalex.org/C153240184","wikidata":"https://www.wikidata.org/wiki/Q3243772","display_name":"Control variable","level":2,"score":0.2754000127315521},{"id":"https://openalex.org/C17685861","wikidata":"https://www.wikidata.org/wiki/Q6960532","display_name":"Time derivative","level":2,"score":0.267300009727478},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.25279998779296875}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cnsns.2026.109765","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.109765","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1983165448","https://openalex.org/W2053023480","https://openalex.org/W2062163287","https://openalex.org/W2090239694","https://openalex.org/W2172693370","https://openalex.org/W2609290290","https://openalex.org/W2617237187","https://openalex.org/W2782302440","https://openalex.org/W2804175501","https://openalex.org/W2895988638","https://openalex.org/W2994681762","https://openalex.org/W3018099102","https://openalex.org/W3037322802","https://openalex.org/W3092432945","https://openalex.org/W3108070439","https://openalex.org/W3216147882","https://openalex.org/W4226189332","https://openalex.org/W4312214176","https://openalex.org/W4324149192","https://openalex.org/W4382982993","https://openalex.org/W4383737087","https://openalex.org/W4407196499"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-02-21T06:11:54.161237","created_date":"2026-01-21T00:00:00"}