{"id":"https://openalex.org/W2959999049","doi":"https://doi.org/10.1155/2019/2161230","title":"On Darboux\u2010Type Differential Inclusions with Uncertainty","display_name":"On Darboux\u2010Type Differential Inclusions with Uncertainty","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2959999049","doi":"https://doi.org/10.1155/2019/2161230","mag":"2959999049"},"language":"en","primary_location":{"id":"doi:10.1155/2019/2161230","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/2161230","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/2161230.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2019/2161230.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040353543","display_name":"Nayyar Mehmood","orcid":"https://orcid.org/0000-0003-3661-5712"},"institutions":[{"id":"https://openalex.org/I121243025","display_name":"International Islamic University, Islamabad","ror":"https://ror.org/047w75g40","country_code":"PK","type":"education","lineage":["https://openalex.org/I121243025"]},{"id":"https://openalex.org/I201726411","display_name":"United Arab Emirates University","ror":"https://ror.org/01km6p862","country_code":"AE","type":"education","lineage":["https://openalex.org/I201726411"]}],"countries":["AE","PK"],"is_corresponding":false,"raw_author_name":"Nayyar Mehmood","raw_affiliation_strings":["Department of Mathematical Sciences, College of Science, UAE University, 15551 Al Ain, UAE","Department of Mathematics & Statistics, International Islamic University, H-10, Islamabad, Pakistan","Department of Mathematics & Statistics, International Islamic University, H-10, Islamabad","Department of Mathematical Sciences, College of Science, UAE University, 15551 Al Ain"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, College of Science, UAE University, 15551 Al Ain, UAE","institution_ids":["https://openalex.org/I201726411"]},{"raw_affiliation_string":"Department of Mathematics & Statistics, International Islamic University, H-10, Islamabad, Pakistan","institution_ids":["https://openalex.org/I121243025"]},{"raw_affiliation_string":"Department of Mathematics & Statistics, International Islamic University, H-10, Islamabad","institution_ids":["https://openalex.org/I121243025"]},{"raw_affiliation_string":"Department of Mathematical Sciences, College of Science, UAE University, 15551 Al Ain","institution_ids":["https://openalex.org/I201726411"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049505521","display_name":"Ahmed Al-Rawashdeh","orcid":"https://orcid.org/0000-0002-7009-8678"},"institutions":[{"id":"https://openalex.org/I201726411","display_name":"United Arab Emirates University","ror":"https://ror.org/01km6p862","country_code":"AE","type":"education","lineage":["https://openalex.org/I201726411"]}],"countries":["AE"],"is_corresponding":true,"raw_author_name":"Ahmed Al-Rawashdeh","raw_affiliation_strings":["Department of Mathematical Sciences, College of Science, UAE University, 15551 Al Ain, UAE","Department of Mathematical Sciences, College of Science, UAE University, 15551 Al Ain"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, College of Science, UAE University, 15551 Al Ain, UAE","institution_ids":["https://openalex.org/I201726411"]},{"raw_affiliation_string":"Department of Mathematical Sciences, College of Science, UAE University, 15551 Al Ain","institution_ids":["https://openalex.org/I201726411"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054407576","display_name":"Akbar Azam","orcid":"https://orcid.org/0000-0002-1841-9366"},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Akbar Azam","raw_affiliation_strings":["Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan","Department of Mathematics, COMSATS Institute of Information Technology, Islamabad"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan","institution_ids":["https://openalex.org/I16076960"]},{"raw_affiliation_string":"Department of Mathematics, COMSATS Institute of Information Technology, Islamabad","institution_ids":["https://openalex.org/I16076960"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5049505521"],"corresponding_institution_ids":["https://openalex.org/I201726411"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.4771,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66949969,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2019","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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":0.9922000169754028,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/differential-inclusion","display_name":"Differential inclusion","score":0.8044254183769226},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6855953931808472},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5549726486206055},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4388633966445923},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4012359082698822},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.362691193819046},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21453821659088135},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13130217790603638},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.12876737117767334},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.04151448607444763}],"concepts":[{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.8044254183769226},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6855953931808472},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5549726486206055},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4388633966445923},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4012359082698822},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.362691193819046},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21453821659088135},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13130217790603638},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.12876737117767334},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.04151448607444763},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2019/2161230","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/2161230","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/2161230.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:2161230","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2019/2161230.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:e231cadb8539402796848b1f441401b5","is_oa":true,"landing_page_url":"https://doaj.org/article/e231cadb8539402796848b1f441401b5","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2019 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2019/2161230","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/2161230","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/2161230.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.7200000286102295,"id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G1226997663","display_name":null,"funder_award_id":"UPAR (11) 2016","funder_id":"https://openalex.org/F4320323593","funder_display_name":"United Arab Emirates University"},{"id":"https://openalex.org/G3747509877","display_name":null,"funder_award_id":"31S249 (COS)","funder_id":"https://openalex.org/F4320323593","funder_display_name":"United Arab Emirates University"}],"funders":[{"id":"https://openalex.org/F4320323593","display_name":"United Arab Emirates University","ror":"https://ror.org/01km6p862"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2959999049.pdf","grobid_xml":"https://content.openalex.org/works/W2959999049.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1514218977","https://openalex.org/W1606297705","https://openalex.org/W1910178750","https://openalex.org/W1968162215","https://openalex.org/W1978913371","https://openalex.org/W2021244475","https://openalex.org/W2022135193","https://openalex.org/W2049246978","https://openalex.org/W2058838327","https://openalex.org/W2089021392","https://openalex.org/W2092092154","https://openalex.org/W2129941846","https://openalex.org/W2152892562","https://openalex.org/W2163361583","https://openalex.org/W2171976988","https://openalex.org/W2172777039","https://openalex.org/W2495730988","https://openalex.org/W2506608888","https://openalex.org/W4246019369","https://openalex.org/W6758652401"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2152564765","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2052660238","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"In":[0,40],"this":[1,73],"article":[2],"we":[3,67,80],"prove":[4,68],"the":[5,11,41,62,69,77,93],"existence":[6,70],"results":[7],"for":[8,55,72],"solutions":[9],"of":[10,22,35,89,95],"Darboux\u2010type":[12,53],"problems":[13,28],"in":[14],"fuzzy":[15,38,44],"partial":[16,56],"differential":[17,45,57,97],"inclusions":[18,98],"with":[19],"local":[20],"conditions":[21],"integral":[23],"types.":[24],"We":[25,100],"present":[26],"two":[27],"involving":[29],"open":[30],"and":[31,59,86],"closed":[32],"level":[33],"sets":[34],"a":[36],"given":[37,96],"mapping.":[39],"first":[42],"case":[43,79],"inclusion":[46],"has":[47],"been":[48],"transformed":[49],"into":[50],"an":[51,102],"equivalent":[52],"problem":[54],"equations":[58],"then":[60],"using":[61],"Tychonoff":[63],"fixed":[64,83],"point":[65,84],"theorem":[66,85,88],"result":[71],"crisp":[74],"case.":[75],"For":[76],"second":[78],"use":[81],"Nadler\u2019s":[82],"selection":[87],"Kuratowski\u2010Ryll\u2010Nardzewski":[90],"to":[91,104],"find":[92],"solution":[94],"problem.":[99],"furnish":[101],"example":[103],"validate":[105],"our":[106],"results.":[107]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
