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At the end first of all fuzzy differential transform method in fractional case is defined and its properties are considered completely. Then existence and uniquness theorem for the solution are proved and convergence of the proposed method is considered in details. Some examples indicate that this method can be easily applied to many linear and nonlinear problems.<\/jats:p>","DOI":"10.3233\/jifs-17190","type":"journal-article","created":{"date-parts":[[2017,12,1]],"date-time":"2017-12-01T12:34:08Z","timestamp":1512131648000},"page":"3539-3560","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["Semi-analytical methods for solving fuzzy impulsive fractional differential equations"],"prefix":"10.1177","volume":"33","author":[{"given":"Nematallah","family":"Najafi","sequence":"first","affiliation":[{"name":"Department of Mathematics, Islamic Azad University, Hamedan Branch, Hamedan, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tofigh","family":"Allahviranloo","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2017,12]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-011-0743-y"},{"key":"e_1_3_1_3_2","first-page":"1","article-title":"A method for solving fuzzy differential equation based on fuzzy taylor expansion IOS Press","volume":"1","author":"Allahviranloo T.","year":"2015","unstructured":"AllahviranlooT., GouyandehZ. and ArmandA., A method for solving fuzzy differential equation based on fuzzy taylor expansion IOS Press, Undefined1 (2015), 1\u201316.","journal-title":"Undefined"},{"key":"e_1_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-008-0397-6"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.5899\/2013\/jfsva-00163"},{"issue":"3","key":"e_1_3_1_6_2","first-page":"577","article-title":"Fuzzy fractional calculus and ostrowski inequality","volume":"19","author":"Anastassiou G.A.","year":"2011","unstructured":"AnastassiouG.A., Fuzzy fractional calculus and ostrowski inequality, J Fuzzy Math19(3) (2011), 577\u2013590.","journal-title":"J Fuzzy Math"},{"key":"e_1_3_1_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-11220-1"},{"key":"e_1_3_1_8_2","article-title":"Fuzzy local fractional differential equation","volume":"4","author":"Abasbandy S.","year":"2012","unstructured":"AbasbandyS., AllahviranlooT., Balooch ShahryariM.R. and SalahshourS., Fuzzy local fractional differential equation, Int J Industrial Mathematics(ISSN 2008-5621)4 (2012), Article ID IJIM-00277.","journal-title":"Int J Industrial Mathematics(ISSN 2008-5621)"},{"key":"e_1_3_1_9_2","first-page":"1","article-title":"Existence and uniqueness for fractional differential equations with uncertainty","author":"Armand A.","year":"2014","unstructured":"ArmandA. and MohammadiS., Existence and uniqueness for fractional differential equations with uncertainty, Journal of Unccertainty in Mathematics Science (2014), 1\u20139.","journal-title":"Journal of Unccertainty in Mathematics Science"},{"key":"e_1_3_1_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2007.08.001"},{"key":"e_1_3_1_11_2","article-title":"Fuzzy Sets and Systems","author":"Bede B.","year":"2012","unstructured":"BedeB. and StefaniniL., Generalized differentiability of fuzzyvalued function, Fuzzy Sets and Systems, 2012.","journal-title":"Generalized differentiability of fuzzyvalued function"},{"key":"e_1_3_1_12_2","first-page":"379","article-title":"Fuzzy solutions for impulsive differential equations","volume":"11","author":"Benchohra M.","year":"2007","unstructured":"BenchohraM., NietoJ. and OuahabA., Fuzzy solutions for impulsive differential equations, Communications in Applied Analysis11 (2007), 379\u2013394.","journal-title":"Communications in Applied Analysis"},{"key":"e_1_3_1_13_2","first-page":"1","article-title":"Existence and uniqueness of solutions to impulsive fractional, differential equations","volume":"10","author":"Benchohra M.","year":"2009","unstructured":"BenchohraM. and AttouslimaniB., Existence and uniqueness of solutions to impulsive fractional, differential equations, Electronic Journal differential Equation10 (2009), 1\u201311. 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