{"id":"https://openalex.org/W3200496034","doi":"https://doi.org/10.1142/s1793005722500326","title":"Numerical Method to Solve a Hybrid Fuzzy Conformable Fractional Differential Equations","display_name":"Numerical Method to Solve a Hybrid Fuzzy Conformable Fractional Differential Equations","publication_year":2021,"publication_date":"2021-09-22","ids":{"openalex":"https://openalex.org/W3200496034","doi":"https://doi.org/10.1142/s1793005722500326","mag":"3200496034"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005722500326","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005722500326","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","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/A5080580830","display_name":"N. Shahryari","orcid":null},"institutions":[{"id":"https://openalex.org/I155419210","display_name":"Islamic Azad University, Science and Research Branch","ror":"https://ror.org/03187yj51","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I155419210"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"N. Shahryari","raw_affiliation_strings":["Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran","institution_ids":["https://openalex.org/I155419210"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073095019","display_name":"Tofigh Allahviranloo","orcid":"https://orcid.org/0000-0002-6673-3560"},"institutions":[{"id":"https://openalex.org/I128277893","display_name":"Bah\u00e7e\u015fehir University","ror":"https://ror.org/00yze4d93","country_code":"TR","type":"education","lineage":["https://openalex.org/I128277893"]},{"id":"https://openalex.org/I155419210","display_name":"Islamic Azad University, Science and Research Branch","ror":"https://ror.org/03187yj51","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I155419210"]}],"countries":["IR","TR"],"is_corresponding":false,"raw_author_name":"T. Allahviranloo","raw_affiliation_strings":["Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran","Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran","institution_ids":["https://openalex.org/I155419210"]},{"raw_affiliation_string":"Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey","institution_ids":["https://openalex.org/I128277893"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056670112","display_name":"S. Abbasbandy","orcid":"https://orcid.org/0000-0003-3385-4152"},"institutions":[{"id":"https://openalex.org/I69425150","display_name":"Imam Khomeini International University","ror":"https://ror.org/02jeykk09","country_code":"IR","type":"education","lineage":["https://openalex.org/I69425150"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"S. Abbasbandy","raw_affiliation_strings":["Department of Mathematics, Imam Khomeini International University, Qazvin, 34149 16818, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Imam Khomeini International University, Qazvin, 34149 16818, Iran","institution_ids":["https://openalex.org/I69425150"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14402051,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"03","first_page":"629","last_page":"655"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"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":1.0,"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":0.9958000183105469,"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/T12508","display_name":"Functional Equations Stability Results","score":0.9915000200271606,"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/mathematics","display_name":"Mathematics","score":0.7910626530647278},{"id":"https://openalex.org/keywords/conformable-matrix","display_name":"Conformable matrix","score":0.7302095890045166},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.6181280612945557},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5356506705284119},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.528069019317627},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4428026080131531},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4275498390197754},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.41852816939353943},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14358487725257874},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05127492547035217},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.046100497245788574}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7910626530647278},{"id":"https://openalex.org/C86072612","wikidata":"https://www.wikidata.org/wiki/Q5160239","display_name":"Conformable matrix","level":2,"score":0.7302095890045166},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6181280612945557},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5356506705284119},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.528069019317627},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4428026080131531},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4275498390197754},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.41852816939353943},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14358487725257874},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05127492547035217},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.046100497245788574},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s1793005722500326","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005722500326","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:nmncxx:v:18:y:2022:i:03:n:s1793005722500326","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S1793005722500326","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W410974397","https://openalex.org/W565587792","https://openalex.org/W1995123739","https://openalex.org/W1996354430","https://openalex.org/W1999130530","https://openalex.org/W2008230680","https://openalex.org/W2009342598","https://openalex.org/W2038354216","https://openalex.org/W2044579306","https://openalex.org/W2052280822","https://openalex.org/W2055257218","https://openalex.org/W2056258420","https://openalex.org/W2063067239","https://openalex.org/W2063118777","https://openalex.org/W2070545443","https://openalex.org/W2073165665","https://openalex.org/W2075223383","https://openalex.org/W2076628063","https://openalex.org/W2080931732","https://openalex.org/W2084584651","https://openalex.org/W2173487392","https://openalex.org/W2185064063","https://openalex.org/W2663670568","https://openalex.org/W2971031788","https://openalex.org/W2971268466","https://openalex.org/W3000253802","https://openalex.org/W3001553400","https://openalex.org/W3115368248","https://openalex.org/W3133038770","https://openalex.org/W3183746008","https://openalex.org/W4206343787","https://openalex.org/W4233434499","https://openalex.org/W4248289657","https://openalex.org/W4288073502"],"related_works":["https://openalex.org/W2792191619","https://openalex.org/W3158217983","https://openalex.org/W4248103533","https://openalex.org/W3046588275","https://openalex.org/W3085259849","https://openalex.org/W3046886605","https://openalex.org/W3049703542","https://openalex.org/W3008631921","https://openalex.org/W4313364931","https://openalex.org/W4302307873"],"abstract_inverted_index":{"This":[0],"research":[1],"introduces":[2],"a":[3,63],"new":[4],"definition":[5],"of":[6,65,71,84],"fuzzy":[7,10,27,33,44,50,57,86,102],"fractional":[8,12,28,35,45,72,104],"derivative,":[9,13],"conformable":[11,34,103],"which":[14],"is":[15,96],"defined":[16],"based":[17],"on":[18],"generalized":[19,36],"Hukuhara":[20,37],"differentiability.":[21],"Namely,":[22],"we":[23],"investigate":[24],"the":[25,32,42,82,85,93,100],"Hybrid":[26,43,101],"differential":[29,46,73,105],"equation":[30,47],"with":[31,62],"derivative.":[38],"We":[39,75],"establish":[40],"that":[41,55,92],"admits":[48],"two":[49,69],"triangular":[51,87],"solutions":[52,58,67],"and":[53],"prove":[54],"these":[56,66],"are":[59],"obtained":[60],"together":[61],"characterization":[64],"by":[68],"systems":[70],"equations.":[74],"propose":[76],"an":[77],"adaptable":[78],"numerical":[79,94],"scheme":[80],"for":[81,98],"approximation":[83],"solutions.":[88],"Numerical":[89],"results":[90],"reveal":[91],"method":[95],"convenient":[97],"solving":[99],"equation.":[106]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}