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We establish that the Hybrid fuzzy fractional differential equation admits two fuzzy triangular solutions and prove that these fuzzy solutions are obtained together with a characterization of these solutions by two systems of fractional differential equations. We propose an adaptable numerical scheme for the approximation of the fuzzy triangular solutions. Numerical results reveal that the numerical method is convenient for solving the Hybrid fuzzy conformable fractional differential equation. <\/jats:p>","DOI":"10.1142\/s1793005722500326","type":"journal-article","created":{"date-parts":[[2021,9,22]],"date-time":"2021-09-22T00:59:42Z","timestamp":1632272382000},"page":"629-655","source":"Crossref","is-referenced-by-count":0,"title":["Numerical Method to Solve a Hybrid Fuzzy Conformable Fractional Differential Equations"],"prefix":"10.1142","volume":"18","author":[{"given":"N.","family":"Shahryari","sequence":"first","affiliation":[{"name":"Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"T.","family":"Allahviranloo","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran"},{"name":"Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Abbasbandy","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Imam Khomeini International University, Qazvin, 34149 16818, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2021,10,23]]},"reference":[{"key":"S1793005722500326BIB001","first-page":"205","volume":"10","author":"Hukuhara M.","year":"1967","journal-title":"Funkcialaj Ekvacioj"},{"key":"S1793005722500326BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(84)90069-1"},{"key":"S1793005722500326BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(83)90169-5"},{"key":"S1793005722500326BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2004.08.001"},{"key":"S1793005722500326BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(01)00158-0"},{"key":"S1793005722500326BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2009.06.009"},{"key":"S1793005722500326BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2012.10.003"},{"key":"S1793005722500326BIB008","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-35221-8","volume-title":"Mathematics of Fuzzy Sets and Fuzzy Logic","author":"Bede B.","year":"2013"},{"key":"S1793005722500326BIB009","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-010-0659-y"},{"key":"S1793005722500326BIB010","doi-asserted-by":"crossref","first-page":"1133","DOI":"10.1016\/j.mcm.2006.09.014","volume":"45","author":"Pederson S.","year":"2007","journal-title":"Mathematical and Computer Modelling"},{"key":"S1793005722500326BIB011","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1016\/j.jksus.2010.07.020","volume":"23","author":"Solaymani Fard O.","year":"2011","journal-title":"Journal of King Saud University - Science"},{"issue":"53","key":"S1793005722500326BIB012","first-page":"2619","volume":"6","author":"Jayakumar T.","year":"2012","journal-title":"International Journal of Mathematical Analysis"},{"issue":"10","key":"S1793005722500326BIB013","doi-asserted-by":"crossref","first-page":"3788","DOI":"10.1016\/j.cnsns.2012.02.003","volume":"17","author":"Kim H.","year":"2012","journal-title":"Communications in Nonlinear Science and Numerical Simulation"},{"issue":"2","key":"S1793005722500326BIB014","first-page":"49","volume":"5","author":"Omid S.","year":"2013","journal-title":"Journal of Advanced Research in Dynamical and Control Systems"},{"key":"S1793005722500326BIB015","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1007\/s40324-015-0049-6","volume":"72","author":"Fard O. 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