{"id":"https://openalex.org/W3094627112","doi":"https://doi.org/10.1007/s40314-020-01362-w","title":"Solving nonlinear systems of fractional-order partial differential equations using an optimization technique based on generalized polynomials","display_name":"Solving nonlinear systems of fractional-order partial differential equations using an optimization technique based on generalized polynomials","publication_year":2020,"publication_date":"2020-10-23","ids":{"openalex":"https://openalex.org/W3094627112","doi":"https://doi.org/10.1007/s40314-020-01362-w","mag":"3094627112"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-020-01362-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-01362-w","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10400.22/23835","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040688350","display_name":"Hossein Hassani","orcid":"https://orcid.org/0000-0001-6916-1492"},"institutions":[{"id":"https://openalex.org/I141445968","display_name":"Ton Duc Thang University","ror":"https://ror.org/01drq0835","country_code":"VN","type":"education","lineage":["https://openalex.org/I141445968"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"H. Hassani","raw_affiliation_strings":["Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam","institution_ids":["https://openalex.org/I141445968"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035539918","display_name":"J. A. Tenreiro Machado","orcid":"https://orcid.org/0000-0003-4274-4879"},"institutions":[{"id":"https://openalex.org/I83863532","display_name":"Polytechnic Institute of Porto","ror":"https://ror.org/04988re48","country_code":"PT","type":"education","lineage":["https://openalex.org/I83863532"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"J. A. Tenreiro Machado","raw_affiliation_strings":["Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, R. Dr. Ant\u00f3nio Bernardino de Almeida 413, 4249-015, Porto, Portugal"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, R. Dr. Ant\u00f3nio Bernardino de Almeida 413, 4249-015, Porto, Portugal","institution_ids":["https://openalex.org/I83863532"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058189114","display_name":"Eskandar Naraghirad","orcid":"https://orcid.org/0000-0001-7925-3526"},"institutions":[{"id":"https://openalex.org/I3121641575","display_name":"Yasouj University","ror":"https://ror.org/05sy5hm57","country_code":"IR","type":"education","lineage":["https://openalex.org/I3121641575"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"E. Naraghirad","raw_affiliation_strings":["Department of Mathematics, Yasouj University, Yasouj, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yasouj University, Yasouj, Iran","institution_ids":["https://openalex.org/I3121641575"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110951401","display_name":"B. Sadeghi","orcid":null},"institutions":[{"id":"https://openalex.org/I55547365","display_name":"Payame Noor University","ror":"https://ror.org/031699d98","country_code":"IR","type":"education","lineage":["https://openalex.org/I55547365"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"B. Sadeghi","raw_affiliation_strings":["Department of Computer Engineering, Payame Noor University, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Payame Noor University, Tehran, Iran","institution_ids":["https://openalex.org/I55547365"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5040688350"],"corresponding_institution_ids":["https://openalex.org/I141445968"],"apc_list":null,"apc_paid":null,"fwci":0.14,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.54357084,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"39","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"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":1.0,"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":0.9944000244140625,"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":0.9896000027656555,"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/mathematics","display_name":"Mathematics","score":0.7619218826293945},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6088027954101562},{"id":"https://openalex.org/keywords/fractional-programming","display_name":"Fractional programming","score":0.5686162710189819},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.55772864818573},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5480442643165588},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5056743621826172},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4873695969581604},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.465774267911911},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.45060232281684875},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33803680539131165},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2807629108428955},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.19965249300003052}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7619218826293945},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6088027954101562},{"id":"https://openalex.org/C169069869","wikidata":"https://www.wikidata.org/wiki/Q5477546","display_name":"Fractional programming","level":4,"score":0.5686162710189819},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.55772864818573},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5480442643165588},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5056743621826172},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4873695969581604},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.465774267911911},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.45060232281684875},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33803680539131165},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2807629108428955},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.19965249300003052},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40314-020-01362-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-01362-w","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:recipp.ipp.pt:10400.22/23835","is_oa":true,"landing_page_url":"http://hdl.handle.net/10400.22/23835","pdf_url":null,"source":{"id":"https://openalex.org/S4306401177","display_name":"Scientific Repository of the Polytechnic Institute of Porto (The Polytechnic Institute of Porto)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I83863532","host_organization_name":"Polytechnic Institute of Porto","host_organization_lineage":["https://openalex.org/I83863532"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"}],"best_oa_location":{"id":"pmh:oai:recipp.ipp.pt:10400.22/23835","is_oa":true,"landing_page_url":"http://hdl.handle.net/10400.22/23835","pdf_url":null,"source":{"id":"https://openalex.org/S4306401177","display_name":"Scientific Repository of the Polytechnic Institute of Porto (The Polytechnic Institute of Porto)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I83863532","host_organization_name":"Polytechnic Institute of Porto","host_organization_lineage":["https://openalex.org/I83863532"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W433794350","https://openalex.org/W1983990863","https://openalex.org/W2017220120","https://openalex.org/W2035393722","https://openalex.org/W2047588599","https://openalex.org/W2061686888","https://openalex.org/W2068345729","https://openalex.org/W2076744585","https://openalex.org/W2107221565","https://openalex.org/W2567904062","https://openalex.org/W2606432427","https://openalex.org/W2611358462","https://openalex.org/W2734521832","https://openalex.org/W2750228368","https://openalex.org/W2765270282","https://openalex.org/W2775330857","https://openalex.org/W2787959293","https://openalex.org/W2890915653","https://openalex.org/W2891047594","https://openalex.org/W2896776383","https://openalex.org/W2898129858","https://openalex.org/W2899219137","https://openalex.org/W2904934584","https://openalex.org/W2918865039","https://openalex.org/W2919348289","https://openalex.org/W2921583520","https://openalex.org/W2923916604","https://openalex.org/W2952656966","https://openalex.org/W2961334021","https://openalex.org/W2963999821","https://openalex.org/W2964052895","https://openalex.org/W2981225112","https://openalex.org/W2990819522","https://openalex.org/W2991277276","https://openalex.org/W2997696500","https://openalex.org/W3012865863","https://openalex.org/W3013745691","https://openalex.org/W3031211360","https://openalex.org/W4301223505"],"related_works":["https://openalex.org/W1600454385","https://openalex.org/W2074745806","https://openalex.org/W1997033546","https://openalex.org/W2082446734","https://openalex.org/W4313560640","https://openalex.org/W3120556963","https://openalex.org/W1979241556","https://openalex.org/W4246784705","https://openalex.org/W2037398493","https://openalex.org/W3081298411"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}