{"id":"https://openalex.org/W2985182958","doi":"https://doi.org/10.1155/2019/5734190","title":"Fuzzy Fractional Evolution Equations and Fuzzy Solution Operators","display_name":"Fuzzy Fractional Evolution Equations and Fuzzy Solution Operators","publication_year":2019,"publication_date":"2019-11-14","ids":{"openalex":"https://openalex.org/W2985182958","doi":"https://doi.org/10.1155/2019/5734190","mag":"2985182958"},"language":"en","primary_location":{"id":"doi:10.1155/2019/5734190","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/5734190","pdf_url":"https://downloads.hindawi.com/journals/afs/2019/5734190.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"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":"Advances in Fuzzy Systems","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/afs/2019/5734190.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069660077","display_name":"Atimad Harir","orcid":"https://orcid.org/0000-0003-3603-9268"},"institutions":[{"id":"https://openalex.org/I4210119856","display_name":"Universit\u00e9 Sultan Moulay Slimane","ror":"https://ror.org/02m8tb249","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210119856"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"Atimad Harir","raw_affiliation_strings":["Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, P.O. Box 523, Beni Mellal 23000, Morocco"],"raw_orcid":"https://orcid.org/0000-0003-3603-9268","affiliations":[{"raw_affiliation_string":"Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, P.O. Box 523, Beni Mellal 23000, Morocco","institution_ids":["https://openalex.org/I4210119856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062316466","display_name":"Sa\u00efd Melliani","orcid":"https://orcid.org/0000-0002-5150-1185"},"institutions":[{"id":"https://openalex.org/I4210119856","display_name":"Universit\u00e9 Sultan Moulay Slimane","ror":"https://ror.org/02m8tb249","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210119856"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Said Melliani","raw_affiliation_strings":["Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, P.O. Box 523, Beni Mellal 23000, Morocco"],"raw_orcid":"https://orcid.org/0000-0002-5150-1185","affiliations":[{"raw_affiliation_string":"Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, P.O. Box 523, Beni Mellal 23000, Morocco","institution_ids":["https://openalex.org/I4210119856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001726881","display_name":"Lalla Sa\u00e2dia Chadli","orcid":"https://orcid.org/0000-0002-0659-8774"},"institutions":[{"id":"https://openalex.org/I4210119856","display_name":"Universit\u00e9 Sultan Moulay Slimane","ror":"https://ror.org/02m8tb249","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210119856"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Lalla Saadia Chadli","raw_affiliation_strings":["Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, P.O. Box 523, Beni Mellal 23000, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, P.O. Box 523, Beni Mellal 23000, Morocco","institution_ids":["https://openalex.org/I4210119856"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5069660077"],"corresponding_institution_ids":["https://openalex.org/I4210119856"],"apc_list":{"value":900,"currency":"USD","value_usd":900},"apc_paid":{"value":900,"currency":"USD","value_usd":900},"fwci":4.2922,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.95483615,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"2019","issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.998199999332428,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9972000122070312,"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/uniqueness","display_name":"Uniqueness","score":0.7771238088607788},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.7285261750221252},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7225831747055054},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.625031590461731},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.6234196424484253},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.5646827220916748},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5278161764144897},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5200916528701782},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5075246095657349},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35772791504859924},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1508786678314209},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10397031903266907},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.04333078861236572}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7771238088607788},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.7285261750221252},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7225831747055054},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.625031590461731},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6234196424484253},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.5646827220916748},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5278161764144897},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5200916528701782},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5075246095657349},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35772791504859924},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1508786678314209},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10397031903266907},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.04333078861236572},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2019/5734190","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/5734190","pdf_url":"https://downloads.hindawi.com/journals/afs/2019/5734190.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"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":"Advances in Fuzzy Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:b0974e9ca2cb4466a88272fda7457d5e","is_oa":true,"landing_page_url":"https://doaj.org/article/b0974e9ca2cb4466a88272fda7457d5e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advances in Fuzzy Systems, Vol 2019 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2019/5734190","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/5734190","pdf_url":"https://downloads.hindawi.com/journals/afs/2019/5734190.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"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":"Advances in Fuzzy Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2985182958.pdf","grobid_xml":"https://content.openalex.org/works/W2985182958.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1560185428","https://openalex.org/W1965955764","https://openalex.org/W1968290996","https://openalex.org/W1996354430","https://openalex.org/W2003184377","https://openalex.org/W2009342598","https://openalex.org/W2022135193","https://openalex.org/W2050095432","https://openalex.org/W2055257218","https://openalex.org/W2076628063","https://openalex.org/W2896404797","https://openalex.org/W2911835062","https://openalex.org/W2952350853"],"related_works":["https://openalex.org/W2558646038","https://openalex.org/W2320384189","https://openalex.org/W4226101702","https://openalex.org/W3195474526","https://openalex.org/W4298025733","https://openalex.org/W3197103706","https://openalex.org/W3143946795","https://openalex.org/W3197465372","https://openalex.org/W4226436876","https://openalex.org/W2914686229"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,21,36,39,59,63,66],"fuzzy":[4,13,40,49,67],"fractional":[5,15,41],"evolution":[6],"equations":[7],"of":[8,25,38,58,65],"order":[9,45],"q":[10,46],"(FFEE)":[11,61],"with":[12],"Caputo":[14],"derivative":[16,44],"are":[17,73],"introduced.":[18],"We":[19],"study":[20],"existence":[22],"and":[23,43,54,62,70,75],"uniqueness":[24],"mild":[26],"solutions":[27],"for":[28],"FFEE":[29],"under":[30],"some":[31],"conditions.":[32],"Also,":[33],"we":[34],"generalize":[35],"definition":[37],"integral":[42],".":[47],"The":[48,56],"Laplace":[50],"transform":[51],"is":[52],"presented":[53],"proved.":[55],"solvability":[57],"problem":[60],"properties":[64],"solution":[68],"operator":[69],"its":[71],"generator":[72],"investigated":[74],"developed.":[76]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":6}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}