Abdollahi, R.Khastan, A.Nieto Roig, Juan JoséRodríguez López, Rosana2019-10-262019-10-262018-06-05Abdollahi, R., Khastan, A., Nieto, J., & Rodríguez-López, R. (2018). On the linear fuzzy model associated with Caputo–Fabrizio operator. Boundary Value Problems, 2018(1). doi: 10.1186/s13661-018-1010-21687-2762http://hdl.handle.net/10347/19950In this paper, we introduce the fuzzy Caputo–Fabrizio operator under generalized Hukuhara differentiability concept. In this setting, we study the linear fuzzy fractional initial value problems and present the general form of their solutions. Some examples are given to illustrate our resultseng© The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were madehttp://creativecommons.org/licenses/by/4.0/Caputo–Fabrizio operatorFuzzy fractional initial value problemGeneralized differentiabilityFuzzy differential equationsjournal article10.1186/s13661-018-1010-21687-2770open access